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In this part we shall have a look at the evolution of money and the various exchange rate systems prevailing till the middle of the 20th century. The exchange of goods and services has been prevalent since thousands of years and a system of barter developed over the years as man looked for ways to fulfill his needs for different commodities and services. The initial exchange was limited to items of food and gradually as man explored, invented and traveled to distant land it became necessary to have a medium of exchange. This necessity led to the evolution of money.

The Evolution of money
Primitive societies used various commodities as a medium of exchange. These ranged from grain, shells, tobacco, rice, salt, ivory to cattle, sheep, skins and slaves. These were the commodities, which were in greater demand and were thus easy to exchange. However, while a farmer could easily meet his requirements for various goods by offering his wheat, a person having cattle would find it difficult to exchange it for salt. He would either have to take a very large quantity or take some other easily traded commodity. Thus the marketability of a commodity determined its acceptance and use as a means of exchange. Marketability of a commodity was determined by the familiarity with the commodity and its quality, divisibility, uniformity and ease of transportation and storage.

Over time, with the introduction of metals and coins, another important quality of the commodity emerged. It became a medium of exchange, having a value much greater than its intrinsic value. It was no longer used for consumption, but for acquiring other commodities for consumption. This was the evolution of ‘money’.

The use of coins facilitated exchange as it was easy to determine the value of a unit, was easily divisible and acceptable to all. Two metals, gold and silver were favoured for minting of coins because of their intrinsic value. There however still remained the inconvenience of carrying a large amount of coins or bullion and it was not easy to transfer or transport large amounts.

It was in the 17th century that the practice of depositing coins and bullion with goldsmiths, moneychangers, mint masters etc started. These persons enjoyed the trust of the people and were entrusted with the job of safe keeping of surplus money. The next step was the transfer of value by assignment rather than by physical delivery. Goldsmiths in England were among the first to start the system of money by book entry.

This was a major development and ultimately led to the spread of banking services. People were confident that they would receive a certain value, on demand, against the bank note they possessed.

The history of foreign exchange can be traced back to the time moneychangers in the middle east would exchange coins from all over the world. Foreign exchange dealings with gold as the standard of value started around 1880 after more than a hundred years of bimetallism where both gold and silver were commonly used as a measure of value.

The Gold Standard
Under the gold standard, the exchange rate of two currencies was based on the intrinsic value of gold in the unit of each currency. This also came to be known as the mint parity theory of exchange rates.

Under the gold standard exchange rates could only fluctuate within a narrow band known as the upper and lower gold points. A country, which had a balance of payments deficit had to part with some of its gold and transfer it to the other country. The transfer of gold would reduce the volume of money in the deficit country and lead to deflation while the inflow of gold in the surplus country would have an inflationary impact on that economy. The country which was in deficit would then be able to export more and restrict its imports as a result of the fall in domestic prices and reduce its BOP deficits. A lowering of the discount rates in a country with a surplus and a hike in discount rates in the deficit country also aided in reducing the imbalance in the BOP.

The main types of gold standard were:
§ The gold specie standard. § The Gold Bullion standard. § The Gold Exchange standard.

The Gold Specie Standard – 1880 – 1914
Under the gold specie standard, gold was recognized as a means of settling domestic as well as international payments. There were no restrictions on the use of gold and it could be melted down or be sent to a mint for conversion to coins. Import and export of gold was freely allowed and Central Banks guaranteed the issue or purchase of gold at a fixed price, on demand. The price of gold varied according to the supply of the metal in the market and the value of gold coins was based on their intrinsic value.

The Gold Bullion Standard – 1922 - 1936
The gold bullion standard started after the first world war, as increased expenditures to fund the war effort exposed the weaknesses of the gold standard. It was decided at an international conference in Brussels in 1922 to reintroduce the gold standard but in a modified form. Under the gold bullion standard, paper money was the main form of exchange. It could however be exchanged for gold at any time. As it was unlikely that there would be a great demand for converting currency notes to gold at any given time, the banks could issue currency notes in excess of the value of gold they were holding. The gold bullion standard too could not last long as many major currencies were highly over or under valued leading to a distortion in balance of payment positions. In 1925, the sterling was over valued against the dollar by nearly 44% and necessitated a devaluation. This devaluation had an impact on other currencies too and led to an exchange rate war.

England withdrew from the gold standard in 1931, America in 1933 and Italy, France, Belgium, Switzerland and Holland remained. It finally collapsed in 1936 with the devaluation of the French franc and the Swiss franc.

The Gold Exchange Standard – 1944- 1970
During the second world war, international trade suffered with runaway inflation and devaluation of currencies. A need was felt to bring out a new monetary system that would be stable and conducive to international trade. The process was started in 1943 by Britain and the US and finally in July 1944 the American proposal was accepted at the Bretton Woods conference. The new system aimed to bring about convertibility of all currencies, eliminate exchange controls and establish an international monetary system with stable exchange rates. The IMF was set up in 1946 under the Bretton Woods agreement and the new exchange rate system also came to be known as the Bretton Woods system.

Under the Bretton Woods system, member countries were required to fix parities of their currencies to gold or the US dollar and ensure that rates did not fluctuate beyond 1% of the level fixed. It was also agreed that no country would effect a change in the parity without the prior approval of the IMF

Introduction:
Interest rate swaps are used to hedge interest rate risks as well as to take on interest rate risks. If a treasurer is of the view that interest rates will be falling in the future, he may convert his fixed interest liability into floating interest liability; and also his floating rate assets into fixed rate assets. If he expects the interest rates to go up in the future, he may do vice versa. Since there are no movements of principal, these are off balance sheet instruments and the capital requirements on these instruments are minimal.

Definition:
A contract which involves two counter parties to exchange over an agreed period, two streams of interest payments, each based on a different kind of interest rate, for a particular notional amount.

Mechanism of an Interest Rate Swap:
Take the case of an interest rate swap, in which Counter Party A and Counter Party B agree to exchange over a period of say, five years, two streams of semi-annual payments. The payments made by A are calculated at a fixed rate of 6% (Fixed rate) per annum while the payments to be made by B are to be calculated using periodic fixings of 6-month Libor (floating). The swap is for a notional principal amount of USD 10 million. The above swap is called the "plain vanilla" or the "coupon swap". Interest rates are normally fixed at the beginning of the contract period, but settled at the end of the period.

The contract can be simplified as follows.
Counter parties:: A and B
Maturity:: 5 years
A pays to B : 6% fixed p.a.
B pays to A : 6-month LIBOR
Payment terms : semi-annual
Notional Principal amount: USD 10 million.

Diagram:
Cash flows in the above swap are represented as follows:

Payments
at the end
Half year
period
Fixed rate
payments
Floating rate
Payments
 6m Libor
Net Cash
From
A to B
1 300000 337500 -37500
2 300000 337500 -37500
3 300000

337500
-37500
4 300000 325000 -25000
5

300000
325000

-25000
6

300000
325000 -25000
7 300000 312500 -12500
8 300000 312500 -12500
9 300000 312500 -12500
10 300000 325000 -25000
             -250000

Typical Characteristics of the Interest Rate Swaps: 1.  The principal amount is only notional.
2. Opposing payments through the swap are normally netted.
3. The frequency of payment reflects the tenor of the floating rate index.

What is a Coupon Swap?
If an interest rate swap involves the swapping of a stream of payments based on the fixed interest rate for a stream of floating interest rate, then it is called a coupon swap.

Counter parties to the Coupon Swap:
Payer of the fixed interest stream is called the Payer in the swap. Receiver of the fixed interest stream is called the Receiver in the Swap.

Diagram:

What is a generic swap?
The term generic is used to describe the simplest of any type of financial instrument – plain vanilla. So, a plain vanilla swap can be called a generic swap. Typically, generic swaps contain the simple characteristics, such as a constant notional principal amount, exchange of fixed against floating interest (coupon swap), an immediate start (i.e., on the spot date). A simple coupon swap can be called a generic swap.

What is a Basis Swap?
Two streams of payments can be calculated using different floating rate indices. These are called basis swaps or floating-against-floating swaps.
a. It is possible to enter into a swap with a 3-month Libor against a 6-month Libor.
b. It is also possible to enter into a swap with a 91-Day T-Bill Yield against a 6-Month Libor.
Basis index swaps come under the classification of non-generic swaps.

Counterparties to a basis swap: In a basis swap, each counter party is described in terms of both the interest stream it pays and the interest stream it receives.

Diagram:

Asset Swap:
If in an interest rate swap, one of the streams of payments being exchanged is funded with interest received on an asset, the whole mechanism is called the asset swap. In other words, it is an interest rate swap, which is attached to an asset. It does not however involve any change in the swap mechanism itself.

Asset swaps are used by investors.
If an investor anticipates a change in interest rates, he can maximize his interest inflow by swapping the fixed interest paid on the asset for floating interest, in order to profit from an expected rise in interest rates.

Money Market Swaps
Swaps with an original maturity of upto two years are referred to as Money Market swaps.
IMM swaps come under this category. The tenor of the swaps matches exactly with the short-term interest futures in the IMM (International Monetary Market- Traded in the Chicago Mercantile Exchange).

Term Swaps
A swap with an original tenor of more than two years is referred to as a term swap.

What does an Interest Rate Swap do?
Interest rate swaps can be used to take on fresh interest rate risk as well as to manage existing interest rate risk.

Interest Rate swaps without offsetting underlying create interest rate risk. : Each counter party in an interest rate swap is committed to pay a stream of interest payments and receive a different stream of interest payments. A payer of fixed interest rate payments is exposed to the risk of falling interest rates, while a payer of floating interest rate payments is exposed to the risk of rising interest rates. Similarly, a receiver of fixed interest rate payments is exposed to the risk of rising interest rates while the receiver of floating interest payments is exposed to the risk of falling interest rates. To summarize, interest rate swaps create an exposure to interest rate movements, if not offset by an underlying exposure.

Interest rate swaps can be used to hedge interest rate risk:
Floating rate loans expose the debtor to the risk of increasing interest rates. To avoid this risk, he may like to go for a fixed rate loan, but due to the market conditions and his credit rating, his fixed rate loans are available only at a very high cost. In that case, he can go for a floating rate liability and then swap the floating rate liability into a fixed rate liability. He can do the swap with another counter party whose requirements are the exact opposite of his or , as is more often the case, can do the swap with a bank.
The following diagram illustrates the case in which an intermediary, e.g. a bank, is involved in a swap deal between two counter parties. Borrower A has a floating rate loan, but would prefer a fixed rate loan. There is another borrower B who has a fixed rate loan, but would prefer a floating rate loan. The intermediary can now match these two borrowers as described in the following diagram.

Diagram:

Example:
A manufacturing company embarks on a project for which it borrows USD 4 million working capital on a floating interest rate basis, payable quarterly for two years. Since the treasurer of the company felt that the floating rate payments will involve serious risks, he decides to enter into a swap with a bank and convert the same into a fixed rate loan. The bank now swaps the floating rate payments into a fixed rate at 12%. The resultant cash flow arising out of the transaction is illustrated below. 


Quarter Floating rate Floating rate payments Fixed rate payments Net cash
paid by Co.
1 12.25 122500 120000 -2500
2 12.25 122500 120000 -2500
3 12.25 122500 120000 -2500
4 12 120000 120000 0
5 12 120000 120000 0
6 12 120000 120000 0
7 11.75 117500 120000 2500
8 11.75 117500 120000 2500
        962500 960000 -2500

Getting comparative advantage in different markets:
Various segments of the capital markets differ in terms of how sensitive they are to differences in the creditworthiness of the issuers. Particularly, in bond markets, where retail investors play an important role and tend to be averse to default risk, disproportionately higher yields are offered to them to invest in less creditworthy bonds. Issuers with a lower rating find themselves paying more than the issuers enjoying a stronger rating. Often, we find that cost of funds is higher in the bond markets than in the credit markets. Whenever, these differences occur in different markets, it would be possible to arbitrage between the markets.

Let us take the following example
Consider two companies, rated AAA and BBB. AAA has a higher credit rating than BBB. Both companies can raise funds either by issuing fixed-interest bonds or by taking bank loans (at a floating interest rate). Their borrowing costs are:

Cost of Funds to AAA and BBB
    Fixed rate bonds Floating rate loans<
AAA 10.00% p.a. Libor+100bp
BBB 12.00% pa Libor+160bp
Differential 200 bps 60bps

Assume now that AAA wants to raise floating rate money and BBB wants to raise fixed rate money. It will be realized that the advantage (200 basis points) of AAA raising fixed rate money in the bond market as against BBB, which is, is greater than the disadvantage (60 basis points) of letting BBB raise floating rate money in the credit market. There is a comparative advantage of 140(200-60) basis points. Both the parties can share the difference and reduce their borrowing costs. A Banker normally acts as an intermediary and arranges most of these deals. A share of the advantage is passed on to the banker. In this case, if the three parties agree to share the difference as 80:40:20 basis points, then AAA will receive 9.80% fixed from the bank in exchange for Libor, while paying 10.00% on his bonds. The net outcome for AAA is a floating rate liability at Libor+20 bps. This represents a gain of 80 basis points, than if he had borrowed at Libor+100 bp. Similarly Borrower BBB receives Libor in lieu of 10.00% fixed while paying Libor+160 bp to his creditor. The net effect is equivalent to paying 11.60% fixed, which represents a 40 basis points gain over fixed rate borrowing at 12.00%. The intermediary bank receives 10.00% fixed from BBB and pays 9.80% fixed to AAA in effect gaining 20 basis points on this transaction. The following diagram illustrates the transaction.

Interest Rate Swaps in India:
With a view to deepening the money market and also to enable banks; primary dealers and all-India financial institutions to hedge interest rate risks, the Reserve Bank of India has allowed scheduled commercial banks, primary dealers and all-India financial institutions to make markets in Interest Rate swaps from July 1999. However, the market which has taken off seriously so far, is the one based on Overnight Index Swaps(OIS). Benchmarks of tenor beyond overnight have not become popular due to the absence of a vibrant inter bank term money market. The NSE publishes MIBOR(Mumbai Interbank Offered Rate) rates for three other tenors viz., 14-day, 1month and 3 month. The other longer tenor benchmark that is available is the yield based on forex forward premiums. This is called MIFOR(Mumbai Interbank Forward Offered Rate). Reuters published 1m,3m,6m 1yr MIFORs are the market standard for this benchmark.

Definition and Mechanism of Overnight Index Swap:
The Overnight Index Swap (OIS) is an INR interest rate swap where the floating rate is linked to an overnight inter bank call money index. The swap will be flexible in tenor i.e. there is no restriction on the tenor of the swap. The interest would be computed on a notional principal amount and settled on a net basis at maturity. On the floating rate side, the interest amounts are compounded on a daily basis based on the index. At the moment, the NSE O/N Mibor is the most widely used floating rate index, the Reuters O/N Mibor being the other used.

Example:
Bank A is a fixed rate receiver for INR 5 crores for a period of one week at 10% and Bank B is a receiver of floating rate linked to the Overnight index. The NSE Mibor rates for the seven days are taken and settled at the end of the swap period. At the end of the period of one week, i.e., the 8th day, Bank B will have to pay to Bank A Rs. 95890/- (being interest on Rs. 5 crores for 7 days at 10%) and has to receive from A Rs. 97508/-. The payments are netted and the only payment that takes place is a payment by A of Rs. 1,608 (97508 – 95890) to B.

NSE Mibor Index Notional Principal Amount Interest for One day
1st day 10.25% 50000000 14041
2nd day 10.00% 50014041 13702
3rd day 9.75% 50027743 13363
4th day 10.125% 50041107 13881
5 & 6 day 10.25% 50054988 28113
7th day 10.50% 50083101 14407
       50097508    

Introduction:
Currency swaps involve an exchange of cash flows in two different currencies. It is generally used to raise funds in a market where the corporate has a comparative advantage and to achieve a portfolio in a different currency of his choice, at a cost lower than if he accessed the market of the second currency directly. However, since these types of swaps involve an exchange of two currencies, an exchange rate, generally the prevailing spot rate is used to calculate the amount of cash flows, apart from interest rates relevant to these two currencies. By its special nature, these instruments are used for hedging risk arising out of interest rates and exchange rates.

Definition: A currency swap is a contract which commits two counter parties to an exchange, over an agreed period, two streams of payments in different currencies, each calculated using a different interest rate, and an exchange, at the end of the period, of the corresponding principal amounts, at an exchange rate agreed at the start of the contract.

Consider a swap in which:
Bank UK commits to pay Bank US, over a period of 2 years, a stream of interest on USD 14 million, the interest rate is agreed when the swap is negotiated; in exchange, Bank US commits to pay Bank UK, over the same period, a counter stream of sterling interest on GBP 10 million; this interest rate is also agreed when the swap is negotiated. Bank UK and Bank US also commit to exchange, at the end of the two year period, the principals of USD 14 million and GBP 10 million on which interest payments are being made; the exchange rate of 1.4000 is agreed at the start of the swap.

We can now see from the above that currency swaps differ from interest rate swaps in that currency swaps involve:
  • An exchange of payments in two currencies.
  • Not only exchange of interest, but also an exchange of principal amounts.
  • Unlike interest rate swaps, currency swaps are not off balance sheet instruments since they involve exchange of principal at the end of the period.
  • The idea of entering into the currency swap is that, Bank US is probably expecting an amount of GBP 10 million at the end of the period, while Bank UK is expecting an amount of USD 14 million, which they agreed to exchange at the end of the period at a mutually agreed exchange rate.
  • The interest payments at various intervals are calculated either at a fixed interest rate or a floating rate index as agreed between the parties.
  • Currency swaps can also use two fixed interest rates for the two different currencies – different from the interest rate swaps.
  • The agreed exchange rate need not be related to the market.
  • The principal amounts can be exchanged even at the start of the swap
Diagram:

If in the above-mentioned swap, the two banks agree to exchange the principal at the beginning.
  • Bank UK will sell GBP to Bank US in exchange for US Dollars.
  • This would be at an exchange rate, most likely the spot rate.
  • These banks would borrow the respective currencies, which they have sold.
  • But at maturity, this exchange of principal would be reversed at the original exchange rate. (This kind of swap is called a par swap).
Types of Currency Swaps:

Cross-currency coupon swaps:
These are fixed-against-floating swaps.

Diagram:

Cross-currency basis swap:
These swaps involve payments attached to a floating rate index for both the currencies. In other words, floating-against-floating cross-currency basis swaps.

Diagram:

Risk Management with currency swaps:

Example: (Principal exchanged at Maturity)
A UK Co. With mainly sterling revenues, has borrowed fixed-interest dollars in order to purchase machinery from the U.S. It now expects the GBP to depreciate against the USD and is worried about increase in its cost of repayment.

It could now hedge its exposure to a dollar appreciation by using a GBP/USD currency swap. It would fix the rate at which the company, at maturity, could exchange its accumulated sterling revenues for the dollars needed to repay the borrowing. Fixing the exchange rate hedges the currency risk in borrowing dollars and repaying through sterling.

Assuming, the Company expects not only the dollar to appreciate, but also the GBP interest rates to fall. It could take advantage of this situation, by swapping from fixed-interest dollars into floating interest sterling.

Diagram:

Stages:
  • At the start of the swap, the GBP/USD rate is agreed at which the principal amounts will be exchanged at maturity (probably, the prevailing GBP/USD spot rate)
  • At the same time, interest rates for use in the swap are also agreed
  • Over the life of the swap, the UK Company will pay a stream of sterling floating interest through the swap and will receive a counter stream of dollar fixed interest in exchange. The dollar interest received through the swap will be used to service the dollar borrowing; the sterling interest paid through the swap will be funded from earnings.
  • At maturity, the company will pay a sterling principal amount through the swap and receive a dollar principal amount in exchange. The exchange is made at the GBP/USD rate agreed at the start of the swap. The company will fund its payment of principal through the swap from accumulated sterling earnings from its business and will use the dollar principal it receives in exchange to repay its dollar borrowing.
Example: (Principal exchanged at the beginning)
This will be the case when the UK co. wants to swap its dollar loan into a sterling loan, but needs dollars at the outset to pay for dollar imports or for any other purpose. In this case, the UK co. would simply acquire the dollars from the spot foreign exchange market. It would fund this spot purchase of dollars with the sterling received through the swap in the initial exchange of principal amounts.

Diagram:


Stages:
  • At the start of the swap, the UK co. buys dollars against sterling in the spot market.
  • The dollar bought in the spot are exchanged through the swap for sterling, at the same GBP/USD exchange rate at which the UK co. had to buy dollars against sterling in the spot market; the sterling received through the swap is used to fund the spot purchase of the dollars.
  • At the same time, the GBP/USD rate at which the principal amounts will be exchanged at maturity is fixed at the spot rate at which the UK co. had to buy dollar against sterling in the spot.
  • The interest rates for use in the swap are also agreed;
  • Over the life of the swap, the UK co. will pay a stream of sterling interest through the swap and will receive a counter stream of dollar interest in exchange. The dollar interest received will be used to service to the dollar borrowing; the sterling interest paid through the swap will be funded from earnings.
  • At maturity, the co. will pay a sterling principal amount through the swap and receive a dollar principal amount in exchange. The exchange is made at the GBP/USD rate agreed at the start of the swap. The co. will fund its payment of principal through the swap from accumulated sterling earnings from its operations and will use the dollar principal, it receives in exchange, to repay its dollar borrowing.

Swap Market in India.

In India, the Reserve Bank of India has permitted banks to arrange currency swaps with one currency leg being Indian Rupee. However, the USD/INR forward foreign exchange markets are illiquid beyond one year. Since currency swaps involve the forward foreign exchange markets also, there are limitations to entering the Indian Rupee currency swaps beyond twelve months. Moreover, banks are also not allowed to take risk /run open swap books i.e., they have to locate counter parties with matching requirements; e.g. one desiring to swap a dollar liabilities into rupee liabilities and the other wishing to exchange rupee debt servicing obligation for dollar obligations. However, some aggressive banks do provide quotes for currency swaps for three to five years out for reasonable size transactions.

Corporates who have huge rupee liabilities and want have foreign currency loans in their books, both as a diversification as well as a cost reduction exercise could achieve their objective by swapping their rupee loans into foreign currency loans through the dollar/rupee swap route. However, the company is assuming currency risk in the process and unless carefully managed, might end up increasing the cost of the loan instead of reducing it. In India, it is more the norm for corporates to swap their foreign currency loans into rupee liabilities rather than the other way round.

Example:
A corporate has a loan of USD 10 million outstanding with remaining maturity of 2 years, interest on which is payable every six months linked to 6-month Libor + 150 basis points. This dollar loan can be effectively converted into a fixed rate rupee loan through a currency swap. If the corporate wants to enter into a currency swap to convert his loan interest payments and principal into INR, he can find a banker with whom he can exchange the USD interest payments for INR interest payments and a notional amount of principal at the end of the swap period. The banker quotes a rate of say 10.75% for a USD/INR swap. The total cost for the corporate would now work out to 12.25%. If the spot rate on the date of transaction is 44.65, the rupee liability gets fixed at Rs. 446.50 mio. At the end of the swap, the bank delivers USD 10 million to the corporate for an exchange of INR 446.50 mio, which is used by the corporate to repay his USD loan. The corporate is able to switch from foreign currency.

Basics
A Forward Rate Agreement (FRA) is an agreement between two parties that determines the forward interest rate that will apply to an agreed notional principal (loan or deposit amount) for a specified period.

FRAs are basically OTC equivalents of exchange traded short date interest rate futures, customized to meet specific requirements.

FRAs are used more frequently by banks, for applications such as hedging their interest rate exposures, which arise from mis-matches in their money market books. FRA’s are also used widely for speculative activities.

Characteristics of FRAs
  • Achieves the same purpose as a forward-to-forward agreement
  • An off-balance sheet product as there is no exchange of principal
  • No transaction costs
  • Basically allows forward fixing of interest rates on money market transactions
  • Largest market in US dollars, pound sterling, euro, swiss francs, yen
  • BBA (British Bankers Association) terms and conditions have become the industry standard
  • FRA is a credit instrument (same conditions that would apply in the case of a non-performing loan) although the credit risk is limited to the compensation amount only
  • Transactions done on phone (taped) or telex
  • No initial or variation margins, no central clearing facility
  • Transaction can be closed at any stage by entering into a new and opposing FRA at a new price
  • Can be tailor made to meet precise requirements
  • Available in currencies where there are no financial futures.

An Example
A corporate with a $10 million floating rate exposure with rollovers to be fixed by reference to the 6-month USD LIBOR rate expects the short-term interest rates to increase. The next rollover date is due in 2 months. The corporate calls his banker and asks for a 2-8 USD FRA quote (6 month LIBOR 2 months hence). The bank quotes a rate 6.68 and 6.71 (see FRA table below). The customer locks the offered rate 6.71 (borrows at a higher rate).

Calculations
If the 6-month LIBOR 2 months from now rises by 100 basis points to 7.71 the bank pays the corporate according to the BBA formula

(L-R) or (R-L) x D x A
[(B x 100) + (D x L)]

where: L = Settlement rate (LIBOR)
R = Contract reference rate
D = Days in the contract period
A = Notional principal amount
B = Day basis (360 or 365)

Note: Choose (L-R) or (R-L) so that the difference is positive

Therefore the bank would pay the corporate

(7.71 – 6.71) x 181 x $10 million = $48,401.53
[(360 x 100) + (181 x 7.71)]

If interest rates had fallen by 100 basis points the corporate would have to compensate the bank by an equivalent amount.

The result from this formula can also be obtained intuitively as follows:

The interest gain from entering the FRA is calculated as
1% x $10million x 181/360 = $50,277.78

The present value of $50,277.78 for a 6-month period discounted by the Settlement Rate (LIBOR) is:
$50,277.78 / {1+[7.71% x 181/360]} = $48,401.53

The (D x L) factor in the denominator of the BBA formula is the present value of the compensation at the settlement rate. The compensation amount in the above example is therefore discounted at 7.71 for the six-month period. This reflects the fact that the FRA payment is received at the beginning of the period (settlement date) and the party is therefore in a position to earn interest on it. The 6-month loan payment however is payable at the end of the period.

British Bankers’ Association’s recommended terms
The BBA set up standards for FRA agreements, known as BBAFRA terms, to provide recommended terms and conditions for FRA contracts to provide guidance on market practice. Banks not dealing on BBA terms have to make it clear to the counterparty that the FRA is not governed by these terms.

FRA Terminology 

FRA FRA Forward Rate Agreement
Forward/Contract rate the forward rate of interest for the Contract Period as agreed between the parties.
BBA Designated Banks means the panel of not less than 12 banks designated from time to time by the BBA for the purpose of establishing the BBA Interest Settlement Rate.
BBA Interest Settlement Rate The rate quoted by specified reference banks for the relevant period and currency.Most currencies LIBOR can be taken as shown on LIBO or LIBOR01 on Reuters or page 3750 on Telerate. For AUD the corresponding Reuter page is BBSW.
Buyer (Borrower) Party seeking to protect itself against a future rise in interest rate.
Seller (Lender) Party seeking to protect itself against a future fall in interest rate.
Settlement Date the date the contract period commences, being the date on which the Settlement Sum is paid.
Maturity Date the date on which the contract period ends.
Settlement Sum as calculated by the BBA formula.
Fixing Date the day that is two business days prior to the Settlement Date except for pound sterling for which the Fixing Date and Settlement Date are the same.
Contract Amount the notional principal on which the FRA is based.
Contract Currency the currency on which the FRA is based.
Contract Period the period from the Settlement Date to the Maturity Date.
Broken Date Contract Period of a different duration from that used in the fixing of the BBA Interest Settlement Rate and any period exceeding 1 year


Quotes
Prices of FRAs are quoted the same way as money market rates, i.e. as an annualized percentage. FRAs are written as 3-6, 2.8, 4x10, 6vs9 etc. The first figure denotes the Settlement Date, the last figure the Maturity Date, and the difference between the two figures is the Contract Period.

FRAs are sometimes quoted as "offer-bid" rates, the same method of quoting followed by money market rates. The buyer of the FRA therefore gets the higher rate or the market maker’s offered rate since the buyer is a potential borrower. Likewise, the seller or depositor gets the lower rate or the bid rate.

The main Contract Periods traded are 3 months and 6 months although 12-month periods are gaining popularity. Broken date prices are also available though the spreads maybe wider and may take longer to obtain. Contract periods less than 3 months are difficult to obtain due to the nature of FRA trading (slim profit margins make it uneconomical).

Value dates for FRAs follow the dates applicable to money markets (called "straight dates"). Trading lots are usually good for 5 million units of the currency (yen excepted).

Settlement
The compensating amount reflects the difference between the actual/Settlement Rate for the period and the Contract Rate. The Settlement Rate, according to the BBA definition, is the rate calculated by taking the rates quoted by eight BBA Designated Banks as being in their view the offered rate at which deposits in the Contract Currency for such Contract Period are being quoted to prime banks in the London interbank market at 11.00 a.m. on the relevant Fixing Date for Settlement Date value. The two highest and the two lowest rates are eliminated and the remaining of the four rates are averaged and then rounded upwards to five decimal places.

In the event that the Settlement Rate is higher than the Contract Rate the borrower would receive payment from the seller. Conversely, the depositor would receive the compensating amount if the interest rates fall. Settlement of the compensating amount takes place at the beginning of the FRA. The first date of the Contract Period is defined as the Settlement Date. Euro FRAs rates are fixed two days ahead of the Settlement Date.

As the payment is an upfront payment the Compensating Amount is a discounted amount. The actual/discount rate used to calculate the Compensating Amount is taken as LIBOR or the offer rate of the money market quote. For market makers (usually banks) who expect to deposit at the offer rate and buyers of FRAs this method of discounting is not a problem. Sellers of the FRA will be disadvantaged if they place their deposits on the bid side of the quote and therefore will not be hedged at the Contract Rate. Their effective hedge will be lower by the spread between the quotes (usually 1/8%).

Applications
Hedging future interest rate exposure is the predominant use of a FRA. Banks hedge their money market mis-matches and corporates for future borrowings/deposits. Arbitrage between FRAs and short-term interest rate futures provide a good opportunity to banks. These short-term futures contracts provide a good source of hedging for FRA market makers.

Arbitrage between FRAs and forward-forward rates in the cash markets may be theoretically possible but rarely seen in practice. Speculation in FRAs is attractive, as there are no transaction fees involved. This type of activity is usually confined to banks.

Conclusion
There are many variations to the traditional FRAs and are gaining popularity. These include –

  • "Strip" FRAs or a combination of FRAs to lock a series of interest rates reset periods.
  • A synthetic FRA in a foreign currency by combining FRAs in one currency and FX Forwards in the other
  • Forward Spread Agreements (FSAs) are essentially used to lock the interest rate differentials between two currencies. This type of transaction is entered between two parties who wish to hedge themselves against future changes in the LIBOR for two currencies one of which being the USD.


FRAs can be priced off forward to forward interest rates. These forward to forward rates can be obtained from the cash market yield curve or by the implied forward rates available from the interest rate futures market in the relevant currency.

Banks have recently started to quote FRA prices in the Indian currency. Forward rates can be constructed from securities of different maturities. FRAs in rupee can be synthetically created using the USD FRA in conjunction with rupee forwards in the foreign exchange markets or rupee interest rate swaps against MIBOR. However, forward rates in the foreign exchange markets are liquid upto 12 months only.

For example, suppose an Indian corporate is to issue a 6-month commercial paper. The current 3-month CP rates are 10.80 and the 6-month rates are 11.50. The corporate is of the view that the 6-month rates are high and is of the view that the rates should fall in the near term. The corporate could then sell a 3x6 FRA. If the rates do fall the corporate would receive the compensating amount from his bank therefore reducing his borrowing cost. Alternatively the corporate could issue a 3-month CP at 10.80%, lock in the 3x6 FRA rate, and issue another 3-month CP after 3 months (this strategy assumes the CP issuance costs involved are negligible). The Indian bank in turn could hedge his exposure in the forward markets by paying (borrowing) 6-month forward and receiving (lending) 3-month forward. Typical trading lot size would be 10 crores although 5 crores may be acceptable.

FRA quotes from Reuters TOPFRA page

USD EUR JPY
1x4 6.73 6.76 5.1650 5.1950 0.53 0.57
2x5 6.69 6.72 5.13 5.15 0.47 0.51
3x6 6.63 6.66 5.12 5.15 0.46 0.50
4x7 6.65 6.68 5.14 5.18 0.47 0.51
5x8 6.58 6.61 5.15 5.19 0.47 0.51
6x9 6.52 6.55 5.16 5.19 0.48 0.52
7x10 6.40 6.43 5.14 5.17 0.49 0.53
8x11 6.40 6.43 5.14 5.17 0.51 0.55
9x12 6.42 6.45 5.14 5.17 0.55 0.59
12x15 6.48 6.52 5.18 5.22 0.58 0.62
1x7 6.74 6.77 5.19 5.22 0.52 0.56
2x8 6.68 6.71 5.23 5.26 0.51 0.55
3x9 6.62 6.65 5.17 5.21 0.49 0.53
4x10 6.60 6.62 5.20 5.23 0.50 0.54
5x11 6.56 6.59 5.19 5.21 0.52 0.56
6x12 6.55 6.57 5.21 5.23 0.54 0.58
12x18 6.97 7.00 5.23 5.26 0.66 0.70
18x24 6.53 6.56 5.27 5.30 0.81 0.85
1x10 6.69 6.73 5.23 5.25 0.50 0.54
  • Identification of the current trend i.e. the direction of price movement and spotting any trend reversal as early as possible.
  • Historical price and volume data analysed with the help of charts.
  • For currencies, shares and commodities traded on exchanges, such data is usually available but in the case of interbank currency market, volume data is not available and the analyst makes use of different indicators, which are derived from the price data. Many of these indicators have become so popular that they are used extensively even for financial assets and instruments traded on exchanges.
  • Applicable only when prices fluctuate freely in response to market forces of demand and supply for the underlying assets. Obviously not applicable for say a pegged exchange rate like USD/HKD. Our focus hereafter will be on floating exchange rates though the principles of technical analysis apply to other assets such as commodities, stock market indices, certain heavily traded stocks, etc.
  • More reliable in case of broad and very liquid markets than thin and shallow markets.
  • Helps to judge the emotional state of the market. The market has its own collective consciousness distinct from the individual consciousness of the participants.

Contrast with Fundamental analysis

  • Fundamental analysis is concerned with all the fundamental factors. In the case of an exchange rate, the concerned factors are the present and expected interest rates, inflation rates, GDP growth rates, international trade and current account balance, exchange rate policies of the two countries in question, state of capital markets, etc. After analysis of all these factors, the fundamental analyst attempts to ascertain whether a currency is undervalued or overvalued and consequently whether it is likely to appreciate or depreciate.
  • Technical analysis, on the other hand, assumes that the price at any given time is the result of not only the fundamental factors but also the market’s collective response to all the factors. At the extreme, technical analysts don’t even want to read newspapers lest the popular news bias their chart analysis! For the same reasons. some even don’t want to know the identity of the underlying asset!!
  • Often, economists focus on certain fundamentals and ‘prescribe’ how the market ought to behave when the market behaviour is linked to some other factors. A classic example is the euro’s persistent decline since its launch. The market is labelled as crazy when it doesn’t behave in the prescribed manner. However, those who are exposed to risk can’t afford to go against the market even if they think it is crazy. Hence, the importance of technical analysis or proper understanding of market psychology.

Assumptions in technical analysis

  • The market discounts everything – All known information about a market is reflected in the price. In other words, all the present political, economic, psychological and any other type of information pertinent to the market price, is already discounted or priced in. In electronic age, information travels at the speed of light and any new information gets disseminated and discounted quickly whereafter it ceases to be of further relevance to the process of forecasting.
  • Prices move in trends - When a price moves in a particular direction, be it up or down, it will continue to trend in that direction till some news changes market perception of future direction and reverses the trend itself. To sum up the markets move in the path of least resistance.
  • History repeats itself - This assumption arises from the fact that mass psychology does not change. Markets overextend because of the herd instinct leading to panic and euphoria time and again.
Data & Charts

Price classification
  • Any floating currency pair i.e. whose rate is not fixed by the country’s central bank against any another currency, can and does trade at different prices on the same day.
  • The four most important prices are the open, high, low and close. These prices represent the opening price, highest price, lowest price and closing price on any trading day.
  • Now the interbank currency market opens in Far East and closes in New York by which time the next trading day starts in the Far East. Hence, for any trading day, the opening price of the day is taken to be the rate at which the market opens in the Far East while the closing price is taken to be the rate at which the market closes in New York. The day’s high and low are the highest and closing prices between the Far East open and New York close.

Types of charts
  • Line chart or the closing price chart constructed by plotting the closing prices on hourly, daily, weekly or monthly basis and connecting the same.
  • Bar chart comprises of a series of vertical lines. Each vertical line represents the price movement during that unit of time. The high and low are connected and then horizontal hashes are drawn on the left and right to represent the opening and closing prices respectively.
  • Japanese candlestick chart differs from bar chart in that the range between the open and the close is shown as a white or black rectangle called the real body. The ranges on either side of the real body are called upper shadow and lower shadow.
Trend & Trendlines

Trend
  • Direction of movement. Prices can be rising, falling or moving sideways and give rise to three types of trend - uptrend, downtrend and flat or neutral trend.
  • Prices move in a zig-zag fashion with any rise or fall interrupted by a countermove known as a reaction. In an uptrend, the reaction is downwards while in a downtrend, the reaction is upwards.
  • Zig-zag movement gives rise to a series of tops and bottoms or highs and lows. The relative position of successive highs and lows determine the trend at any given point of time.
  • Uptrend : series of higher highs and higher lows.
  • Downtrend : series of lower highs and lower lows.
  • Flat trend : no clear cut sequence of higher highs and higher lows or lower highs and lower lows.
  • Currency trends : Unlike stocks, commodities, debt instruments, if one currency say the euro is in a downtrend against the US dollar, the latter is automatically in an uptrend against the euro. Since most currencies, except sterling, aussie, kiwi, ecu and irish punt are quoted against one dollar, it can be confusing to talk about the trend of the dollar without specifying the other currency. For example, the dollar has always been in a multiyear uptrend against the Indian rupee but has moved both up and down against the Japanese yen, British pound and Swiss franc.

Trend Reversal
  • Nothing lasts for ever and a trend no matter how powerful, is vulnerable to change.
  • This change in the direction of the trend from up to down or from down to up is called trend reversal.
  • Often, after a large rise or fall, prices move sideways and this is also known as consolidation. Usually, after such consolidation, the previous trend resumes.
  • Uptrend is characterised by higher highs and higher lows. If this were to reverse into a downtrend, one would notice the formation of lower highs and lower lows.

Trendlines
  • Trendlines are straight lines drawn by connecting either the highs or the lows.
  • In an uptrend, 2 or more rising lows are connected to denote an uptrend line.
  • In a downtrend, 2 or more falling highs are connected to denote a downtrend line.
  • A horizontal or flat trendline is drawn by connecting either the highs or the lows.
  • The importance of a trendline lies in its ability to indicate the possibility of a trend reversal.
  • Reversal of uptrend signalled by the price falling below the uptrend line.
  • Reversal of downtrend indicated by the price rising above the downtrend line.
Finer points of trendlines
  • Penetration of a trendline does not necessarily imply a trend reversal but may indicate just a temporary pause in the trend.
  • No fixed rule to judge whether such penetration signals a pause or a reversal. However, important clues are often available.
  • Steeper a trendline, greater is the possibility of its penetration signalling just a pause and not a reversal.
  • As to duration, the longer a trend has been in force, the more powerful is the violation of the trendline.
  • Similarly, the more the number of times a trendline is touched by the price, the stronger the trendline and more powerful is its penetration.
  • Finally, trendline penetration accompanied by rising volumes or breakout from a reversal pattern very often signals a trend reversal.
Support & Resistance
  • The concept of support and resistance is quite basic and still powerful enough for anticipating turning points during any rally or decline.
  • Support is the price level where enough buying pressure builds up to stop a decline at least temporarily and prompt a recovery.
  • Resistance indicates a price level at which selling pressure mounts to halt an ongoing rally and start a decline.
  • As discussed earlier, zigzag price movement gives rise to highs and lows or tops and bottoms.
  • Tops offer resistance and bottoms offer support.
  • Market psychology about bottoms and tops: A bottom is a price level where the buying pressure exceeded selling pressure and the price moved upwards. Consequently, players who bought at or near the bottom will be encouraged to buy again if the price approaches the previous bottom or low on any reaction. Similarly, those who missed the earlier rally are also likely to buy near the low from where it started. It is this actual and potential buying that creates the support level. In the same manner, tops acts as resistance because players who sold earlier or who missed the last decline come in to sell when the price rallies and reaches the previous top.
  • This phenomenon of tops and bottoms often gives rise to the formation of double tops and double bottoms or triple tops and triple bottoms.
  • The more number of times a support or resistance level has held, the stronger it is.
  • If a price falls below a support level with sellers overwhelming buyers, this level will usually become resistance level. Similarly, a resistance once broken acts as a support level. Strong supports and resistances when broken act as strong resistances and supports.

Fibonocci Retracement Analysis
  • Number sequence - 1,1,2,3,5,8,13,21
  • Sum of any two consecutive numbers equals the next highest.
  • The ratio of any number to its next higher number approaches 0.618 after the first 4.
  • The ratio of any number to its next lower number is 1.618 or the reciprocal of 0.618.
  • The ratio of alternate numbers approaches 2.618 or its reciprocal 0.382.
  • The most common numbers in retracement analysis are 0.382,0.500 and 0.618
Reversal Patterns
  • Chart formations indicating trend reversal. Bar charts are the ones most commonly used and could be on a daily, weekly or monthly basis.
  • There must be a prior trend to reverse.
  • Breaking of an important trend line is the first signal.
  • Greater the height and width of the pattern, the more powerful the resultant move from the breakout.
  • Topping patterns are usually shorter in duration and the price movement is swift and volatile when fear overtakes greed. Bottoming patterns take more time to form and price range is smaller.
  • Volume is important in price patterns. Higher the volume accompanying the breakout, the more reliable the pattern.

Head and Shoulders Reversal Pattern

  • Most powerful reversal pattern and resembles a head and two shoulders.
  • In an uptrend, price declines from a peak to form the left shoulder.
  • Price then rallies to a new high, called the head before falling again to or near the previous low.
  • Now the price rises once more but tops out lower than the head and near the level of the left shoulder. This third top is called the right shoulder.
  • The price then begins to fall and the pattern is confirmed when the price breaks and closes below the extended neckline joining the previous two lows - first low between the left shoulder and the head and the second low between the head and the right shoulder.
  • Volume plays an important role in the formation of this pattern. Volume is rising when prices are approaching the top of the left shoulder and dips on the first reaction. When price crosses over the peak of left shoulder, increase in volume is not prominent. After the head is formed, price falls below the top of the left shoulder indicating possibility of trend change. Price usually finds support near the previous low and rallies again but forming a lower top with lower volume. Finally, when price begins to fall again and breaks the neckline it is on higher volume.
  • The head and shoulders breakout is followed by a sharp downmove with heavy volume before price rallies towards the neckline on lower volume. After this return move, the downtrend usually resumes.
  • Price target : Vertical distance from the head to the neckline is measured and this is deducted from the level at which the neckline is broken. This is the minimum price target and as such, there is possibility that the price will move below the target but not below the origin of the preceding uptrend.

Double Top Reversal Pattern

  • Also referred to as the "M" type reversal pattern.
  • Price rises to form a top with an increase in volume.
  • This is followed by a price drop on lower volume.
  • Next rally fails to cross the previous peak and ends thereabout forming a second top.
  • Double top reversal is confirmed when the price falls and closes below the intervening low.
  • From this breakout point, the price target equals the vertical distance between the double top and the intervening low.
  • Important point to note is that volume should be rising at the breakout point else the pattern is suspect.
Rectangle
  • This pattern after a sharp up move or a down move.
  • Market consolidates in a narrow sideways band between two parallel lines, much similar to a rectangle.
  • A break over the upper or the lower channel line would result in a big move.
  • The target of such a move would be the height of the rectangle (difference between the lower and upper channel lines.
Moving Averages
  • Zigzag movement of prices often makes it difficult to judge the underlying trend. Trendlines do help as we have already seen.
  • Another popular way is to smooth the price data with the help of moving averages.
  • Technical analysts use three different types of moving averages - simple moving average, exponential moving average and weighted moving average.
  • We will discuss only the simple moving average because it is the easiest to compute and interpret.
  • The moving average system of trading is also known as the trend following system because the trader waits for the trend to be established before initiating a trade.

Calculation
  • Closing price is the price that is most commonly used.
  • The term moving average signifies that the average is computed for a moving body of data. For instance, a 5-day average is calculated by adding the closing prices for the first five days and dividing the total by 5. At the end of 6th day, the average is taken for the closing prices for day 2 thru’day 6. The average for the first 5 days is compared against the closing price on the 5th day and so on.
  • Since the moving average represents the underlying trend, the number of days to average is the most important criterion. This is the period of the average, which also denotes the period of the trend. In other words, a 5-day average will show a 5-day trend and a 20-day average will show a 20-day trend.
  • Computer software such as Lotus, Excel etc., provide readymade formula for calculation of the moving average and manual calculation is usually not necessary.
  • Charting facilities available on Reuter, Bloomberg, Bridge, etc provide moving averages and various other studies in a very user-friendly form.

Interpretation

  • A moving average smoothens the underlying price data and represents the trend for the period used to calculate the average.
  • More importantly, it acts as a curved trendline providing support in an uptrend and resistance in a downtrend.
  • Since the moving average reflects the trend, intersection of the price with the moving average signals at least a pause in the trend by way of a correction and possibly a trend reversal.
  • In an uptrend, both the price and the moving average are rising and price is above the moving average. If the price were now to move below the moving average while the moving average is still rising, it would probably signal just a correction.
  • After a while renewed buying usually pushes the price again over the moving average. If the moving average is still rising, such a crossover of the price over the moving average indicates resumption of the uptrend.
  • However, caution is indicated if the moving average has begun to move sideways. A trend reversal is now more likely and is signalled when the price again crosses below the moving average.
  • Penetration of a very short term average such as the 5-day average occurs often in long lasting trends and often signals temporary pauses in the trend by way of correction or consolidation. This happens after a sharp upmove or a downmove when profit-taking sets in a countertrend move in the opposite direction. However, when prices retrace 50 to 60% of the previous move, players who missed the earlier move usually enter leading to resumption of the underlying trend.
  • On the other hand, penetration of say 20-day average accompanied by a change in the direction of the moving average itself, would usually confirm trend reversal or prolonged and deep correction.

Bollinger Bands

  • Empirical evidence shows that exchange rates fluctuate around a moving average.
  • Ordinary bands such as moving average envelopes are specified as a fixed percentage channel around a moving average.
  • An alternate and popular method of constructing bands is based on a moving standard deviation. Such bands are known as Bollinger bands.
  • Construction
  • Take a n-period moving average of the price data.
  • For each period, calculate the standard deviation of the price around the moving average.
  • Choose a multiple of the standard deviation and create a band around the moving average.
  • A typical set up is a 20-day moving average with bands placed 2 standard deviations from the moving average.

Interpretation

  • The width of the band obviously varies with the volatility i.e. the standard deviation of the prices.
  • In uptrends, the price usually moves between the 20-day moving average and the upper bollinger band while in a downtrend, the price usually moves between the moving average and the lower bollinger band.
  • Penetration of the upper bollinger band in an uptrend or the lower bollinger band in a downtrend usually suggests an acceleration in the trend.
  • However, if the price quickly moves back into the band, a trend reversal or at least a deep correction is likely.
  • Sharp price movements accompanied by range expansion are often preceded by a contraction of the band due to a period of reduced volatility.

Oscillators

  • A system based on a single moving average or a combination of 2 moving averages are called trend following systems.
  • The advantage of a trend following system based on say a 20-day moving average is that you can almost always catch large favourable moves or guard against large adverse moves. However, as the earlier charts, show there could be a considerable loss of profits or savings if one waits till a trend change is indicated by the same system.
  • Oscillators are price derivatives. Extreme oscillator readings indicate that the market is overextended, that is, overbought or oversold; give advance warnings of an impending trend reversal and alert the trader or hedger to book some profits or to be on the lookout for other signs of a reversal. Caution : Such warnings are not a signal to take countertrend positions but only to trim existing profitable positions or protect them with tight stops.

Momentum

  • Momentum denotes the speed at which prices are rising or falling.
  • Momentum has to be related to some period. For example, 10-day momentum measures the size and direction of the price change over the last 10 days.
Calculation
  • Simplest way to calculate n-day momentum at time is by the following equation:
  • M(t) = P(t) - P(t-n) where M(t) is the momentum at time ‘t’, P(t) is the price at time ‘t’ and P(t-n) is the price at time ‘t-n’.
  • The momentum line so plotted oscillates around the zero line.

Interpretation

  • Just as a car moving at high speed slows down before coming to a halt or making a U-turn, the momentum peaks out and reverses before reversal of the trend itself.
  • However, even after reversal of momentum it is prudent to wait for reversal of the price trend because quite often powerful trends overextend before finally reversing. In such cases, we often see prices making new highs or lows on lower momentum indicating a weak technical position susceptible to reversal. Such a phenomenon of a new high or low in price without being confirmed by a new high or low in momentum, is called divergence.
  • Such a divergence is a red alert and a signal for booking profits on existing positions rather than a signal for taking positions in the opposite directions.
  • On a stand alone basis, the best available confirmation of a trend reversal or trend resumption after a correction is the crossing of the momentum line above or below the zero line.
  • Overbought and oversold signals are given when the momentum oscillator reaches extremely high or low values. Extremely high values point to an overbought condition i.e. the price has risen too far too fast and signal a correction while extremely low values suggest an oversold market and warns of a possible rally.
  • A disadvantage of the momentum oscillator is that it is difficult to pinpoint extreme values without comparative historical data. Let’s therefore examine 2 other oscillators that are normalized and whose values always move between 0 and 100.

Relative Strength Index (RSI)

  • The RSI is an oscillator that always moves between 0 and 100.
  • Necessary to specify a period for calculation. Original designer proposed a 14-day period but 9-day RSI has also become popular.

Construction

  • Choose a period for the RSI. Say we take it as 14 days.
  • Tabulate the up closes and the down closes in the price over the 14-day period up to the given date.
  • Divide the sum of the up closes by 14 to arrive at the average rise.
  • Divide the sum of the down closes by 14 to arrive at the average fall.
  • Calculate the relative strength (RS) as the ratio of the average rise to the average fall.
  • Finally, calculate the RSI using the formula: RSI = 100 - [ 100/(1+ RS)]

RSI overbought/oversold levels

  • From the formula, one can see that if RS = 0, RSI = 0; if RS = 1, RSI = 50 and if RS = ¥ , RSI = 100.
  • Normalisation enables easier identification of overbought and oversold values.
  • Typically, a market is said to be overbought, if RSI is above 70 and oversold if RSI is below 30.

RSI signals

  • Various ways of interpreting RSI movements.
  • For instance, reversal of the RSI from the oversold region can be taken as a buy signal and reversal from the overbought region as a sell signal.
  • However, in trending markets, RSI reversals opposite to the trend may only signal a correction and these signals could at the most be used for booking profits or trimming positions. On the other hand, RSI reversal in the direction of the trend usually signals resumption of the trend.
  • For indicating impending trend reversal, RSI divergence in the overbought or oversold zone is considered as a more reliable signal. Bearish RSI divergence occurs when the price makes a new high but the RSI though overbought makes a lower high. Bullish RSI divergence occurs when the price makes a new low but the RSI makes a higher low in the oversold zone.
  • Even after getting RSI divergence, it is prudent to wait for some reversal indication in the price charts because it is not uncommon for RSI divergences to get repeated in powerful trends.

Stochastics

  • This oscillator is based on the empirical evidence that the price usually closes near the high of the day or the last few days in an uptrend and near the low of the day or the last few days in a downtrend.
  • The psychological reason is probably that as a trend persists longer and longer, market players tend to become less and less cautious and carry larger overnight risks.
  • This is a complex indicator and involves calculation of 3 statistical variables : %K, fast %D and slow %D.

Construction

  • Choose a period for %K. Typical period is 5 days.
  • Identify the highest intraday high (H) and the lowest intraday low (L) in the chosen period.
  • Calculate %K as follows: %K = 100 * (C - L)/ (H - L)
  • Calculate fast %D as a moving average, in this case, 3-day moving average of %K values.
  • Also calculate slow %D as a 3-day moving average of fast %D values.
  • Plot %K and fast %D to form the fast stochastic indicator or the fast stochastics. Similarly, plot fast %D and slow %D to form the slow stochastics.
  • Evidently, %K oscillates between 0 and 100 and so also do fast %D and slow %D.

Stochastic signals

  • As with the RSI, there are overbought and oversold zones. These are usually set as 80 and 20 or 70 and 30.
  • With fast stochastics, a buy signal is given if %K crosses over fast %D in the oversold zone and is confirmed when fast %D moves up into the neutral region. A sell signal is given if %K crosses below fast %D in the overbought zone and is confirmed when fast %D moves down into the neutral region. This may be suitable for short-term traders.
  • With slow stochastics, the signals are similar except that these are generated with the crossover of fast %D over or below slow %D. This seems preferable for medium-term traders and hedgers.

Summing Up

  • For the major currency pairs, it is adequate to use candlestick charts, a trend following system with a 20-day moving average, 2 standard deviation bollinger bands and oscillators such as 5,3,3 or 9,5,5 stochastics, 14-day RSI and 10-day momentum.
  • Countertrend oscillator signals are used only to trim or liquidate positions. New/additional positions are initiated only in the direction of the trend when backed by oscillator signals especially stochastic signals.
  • Technical analysis tries to reduce uncertainty by arriving at reasonable expectations of future market behaviour based on the present and past behaviour.
  • There is no foolproof or failsafe forecasting method. Hence, use of risk limits and good-till cancelled stoploss orders is of paramount importance.
  • As some one said, optimism is merely hoping for the best while confidence is additionally being prepared for the worst.
  • Judicious blend of technical and fundamental analysis, that is, techno-fundamental analysis is probably the best approach

Japanese Candlesticks


Candlestick patterns


Source: Finila.com

Abandoned Baby: This is a rare reverse pattern characterized by a gap followed by a Doji, which is after that followed by another gap in the opposite direction. The shadows on the Doji must completely gap either below or above the shadows of the 1st and 3rd day.

Doji: The pattern called ‘Doji’ forms when securities’ both open and close levels are virtually equal. The length of the upper and lower shadows can be various, which results in candlesticks looking like either cross, inverted cross, or plus sign. Doji can be interpreted as a note of indecision or tug-of-war between buyers and sellers during the trading day. Prices can move both above and below the opening levels during certain period and at the end they close either at or close to the opening levels.

Dark Cloud Cover: A bearish reverse pattern that supports the uptrend by a long white body. On the next day it opens at a new high and afterwards closes below the midpoint of the first day’s body.

Downside Tasuki Gap: A continuation pattern with a long black body followed by another black body, which has gapped below the first one. The 3rd day consist of white body and opens within the body of the previous day, then closes in the gap between the first two days, but does not close the gap.

Dragonfly Doji: This pattern is a kind of Doji forming when the open and close prices are at the high of the day. Like on the other Doji days, this one normally appears at market turning points.

Engulfing Pattern: A reverse pattern that can be either bearish or bullish, which depends on whether it appears at the end of an uptrend (bearish engulfing pattern) or a downtrend (bullish engulfing pattern). The first day is characterized by a small body, after which follows a day whose body completely engulfs the body of the previous day.

Evening Doji Star: A three day bearish reverse pattern that is similar to the Evening Star. The uptrend continues with a large white body. The next day it opens higher, moving in a small price range and then closes at its open (Doji). On the 3rd day it closes below the midpoint of the first day’s body.

Evening Star: A bearish reverse pattern that supports an uptrend with a long white body day, followed by a gapped up small body day, then a down close with the close below the first day’s midpoint.
Three Falling Methods: This is a bearish continuation pattern. A long black body is followed by three small body days, each fully contained in the range of the high and low of the first day. The 5th day closes at a new low.

Gravestone Doji: A Doji line that forms when the Doji is at, or very near the low of the day.
Hammer: Hammer candlesticks form when a security moves significantly lower after the open, but closing well above the intraday low. The result is that candlestick looks like a square lollipop with a long stick. If this candlestick forms during a decline, then it is called a Hammer.

Hanging Man: This type of candlestick forms when a security moves significantly lower after the open, but it closes well above the intraday low. As the result the candlestick looks like a square lollipop with a long stick. Provided that this candlestick forms during an advance, it is called a Hanging Man.

Harami: A two day pattern which has a small body of the second day completely contained within the range of the previous body, and is in the opposite colour.

Harami Cross: A 2-day pattern that is similar to the Harami. The difference is that the pattern on the second day is Doji.

Inverted Hammer: It is a one day bullish reverse pattern. In a downtrend, the open is lower, after that it trades higher but closes near its open and as a result looking like an inverted lollipop.

Long Day: The long day represents a large price move from open to close, where the length of the candlestick body is long.

Long-Legged Doji: This candlestick consists of long upper and lower shadows with the Doji in the middle of the day’s trading period, clearly reflecting the indecision of traders.

Long Shadows: Candlestick with a long upper shadow and short lower shadow indicates that buyers dominated during the first part of the period, pushing prices higher. Conversely, candlesticks with long lower shadows and short upper shadows indicate that sellers were dominating during the first part of the period, driving prices lower.

Marubozu: A candlestick having no shadows extending from the body at either the open, the close or at both of them. The name of this pattern means close-cropped or close-cut in Japanese, even though other interpretations refer to it as Bald or Shaven Head.

Morning Doji Star: A three day bullish reverse pattern which is very similar to the Morning Star. The 1st day is in a downtrend with a long black body. On the next day it opens lower with a Doji that has a small trading range. The 3rd day closes above the midpoint of the first day.

Morning Star: A three day bullish reverse pattern that consists of three candlesticks: a black candle with long body extending the current downtrend, a short middle candle that gapped down on the open and a white candle with long body that gapped up on the open and then closed above the midpoint of the body of the first day.

Piercing Line: A two day bullish reverse pattern. The first day, in a downtrend, consists of a long black-body day. The next day opens at a new low, afterwards closes above the midpoint of the body of the first day.

Three Rising Methods: This is a bullish continuation pattern characterized as a long white body that is followed by three small-body days, each fully contained in the range of the high and low of the first day. On the 5th day it closes at a new high.

Shooting Star: A single day pattern, which can appear in an uptrend. After open it moves higher, trades much higher and closes near its open. It looks just like the Inverted Hammer except that it is bearish.
Short Day: This pattern represents a small price move from open to close, where the candle body length is short.

Spinning Top: Candlestick lines that consists of small bodies with upper and lower shadows, which exceed the body length. Spinning tops signal indecision.

Stars: It is said that a candlestick that gaps away from the previous candlestick is in star position. Depending on the previous candlestick, the star position candlestick gaps either up or down and appears isolated from previous price action.

Stick Sandwich: A bullish reverse pattern with two black bodies which surround a white body. The closing prices of the two black bodies must be equal. A support price is apparent and the opportunity for prices to reverse is pretty good.

Three Black Crows: A bearish reverse pattern that consists of three consecutive long black bodies where each day closes at or near its low and opens within the body of the previous day.

Three White Soldiers: A bullish reverse pattern consisting of three consecutive long white bodies. Each ought to open within the range of previous body and the close should be near the high of the day.

Upside Gap Two Crows: A three day bearish pattern that only appears in an uptrend. The first day is a long white body that is followed by a gapped open with the small black body remaining gapped above the first day. The third day is also a black-body day whose body is larger than the 2nd day and engulfs it. The close of the last day is still above the first long white-body day.

Upside Tasuki Gap: A continuation pattern with a long white body that is followed by another white body which has gapped above the first one. The 3rd day is black and opens within the body range of the second day, then closes in the gap between the first two days, but does not close the gap.