November 1
Spot Market
Dollar has appreciated and spot exchange rate is 0.5400. The dollar value of Euro625,000 now is $3,37,500.
Loss on spot market position
= $3,68,750 – $3,37,500 = $31,250
Futures Market
Buy five December Euro futures contracts. The quantity of futures contracts bought should be same as that sold on September 14. Let the futures rate be 0.5500. This gives the exporter the notional right to buy 6,25,000 by paying $3,43,750 i.e. 6,25,000 x 0.5500.
Profit on futures contracts = $3,75,000 – $34,33,750 = $31,250.
The loss in the spot market, arising from the appreciation of dollar, is offset by the profit in the futures market. In the above illustration the exporter received the same amount of US dollars as if he had sold Euro in the market on September 14, 1998. This is because the change in the rate of Euro during the period and the change in the price of futures during the same period are equal.
Spot Price (t0) – Spot Price (t1) = 0.5900 – 0.5400 = 0.05
Futures Price (t0) – Futures Price (t1) = 0.6000 – 0.5500 = 0.05
The difference between spot price and futures price is known as basis. The basis at time in the above illustration is 0.1000 and the basis at time is also 0.1000;
|
Date
|
Spot
|
Futures
|
Basis
|
|
14 Sep., 1998
|
0.5900
|
0.6000
|
–0.1000
|
|
01 Nov., 1999
|
0.5400
|
0.5900
|
–0.1000
|
We observe that the basis remained unchanged. When the basis remains unchanged, the gain/loss in spot market matches with the loss/gain in futures market and hence the amounts are exactly offset. However, it is unlikely that the basis remains the same through out the period.
Illustration 4.2
In the above illustration, we have seen that the rate in the futures market moved in line with that in the spot market, and absolute price change is equal in both markets. However, the change in futures rate need not be equal to the change in the spot exchange rate. If the spot and futures rates change by different amounts, there will be a change in the basis. Due to this, a degree of imperfection enters the hedge. This situation is explained in this illustration, which is different from the earlier illustration only in the assumption that the rate of exchange for December futures would be 1Euro = $0.5700 rather than 1Euro = $0.5500. Due to this the basis changes from 0.1000 to $0.3000 and, as a result, the hedge will not be perfect.
|
Date
|
Spot
|
Futures
|
Basis
|
|
14 Sep., 1998
|
0.5900
|
0.6000
|
0.1000
|
|
01 Nov., 1999
|
0.5400
|
0.5700
|
0.3000
|
The change in basis results in a net gain of $12500 (i.e. $31,250 – $18,750). Hence, the hedge is only partially successful. The hedger replaces outright risk with basis risk and consequently brings down the loss from $31,250 to $12,500.
September 14, 1998
Spot Market
Exporter gets confirmation of receivables equal to Euro 625,000 on November, 1.
Spot rate is 0.5900; Expected cash inflows are $3,68,750 i.e. Euro5 x 125,000 x 0.5900 if he were able to convert Euro to US dollars. But he cannot do so since he did not receive the Euro. However, he can go to futures market and sell futures in Euro.
Futures Market
Sell five December Euro futures contracts. Size of each contract would be 125,000 at the exchange rate which is prevailing in the market. The rate is 0.6000. Hence the equivalent notional amount in dollars will be $3,75,000 (i.e. 0.6000 x 5 x 125,000).
November 1, 1998
Spot Market
Dollar has appreciated and spot exchange rate is 0.5400. The dollar value of 625,000 now is $3,37,500.
Loss on spot market position = $3,68,750 – $3,37,500
= $31,250.
Futures Market
Buy five December Euro futures contracts. The quantity of futures contracts bought will be the same as that of sale. The buying rate is 0.5700. This gives the exporter the notional right to buy 6,25,000 by paying $3,56,250 i.e. 5 x 125,000 x 0.5700.
Profit on futures contracts = $3,75,000 – $3,56,250 = $18,750.
In the above illustration we have seen that the Euro inflows are being hedged by using Euro futures. This type of hedge is called direct currency hedge. A direct currency hedge involves the two currencies which are directly involved in the transaction. Thus, an Indian firm, which has a dollar payable maturing after three months may buy dollar futures, priced in terms of rupees or sell rupee futures priced in terms of dollars. If such futures are not available, a cross hedge can be used. Let us assume that the rupee and sterling movements are strongly interlinked. In that case, the firm can buy dollar futures priced in terms of sterling or sell sterling futures priced in terms of dollars. For a cross hedge to be effective, the firm has to choose a contract on an underlying currency which is almost perfectly correlated with the exposure which is being hedged. This effectively means that dollar exposure is converted to a sterling exposure.
Determining the Effective Price Using Futures
Let Sp1 be the spot price at time T1
Sp2 be the spot price at time T2
Ft1 be the futures price at time T1
Ft2 be the futures price at time T2
Sp1 – Ft1 = Basis at T1
Sp2 – Ft2 = Basis at T2
In the earlier illustration US exporter hedged Euro receivables by selling futures on Euro. Let us assume that the transaction has taken place at T1 and closed at T2. Profits made in futures markets by closing out position at T2 = Ft1 – Ft2 (of course, this represents a loss if Ft1 < Ft2).
Price received for asset while selling in the spot market = Sp2
Which implies, the effective price at which the US exporter sold the Euro is
= Sp2 + (Ft1 – Ft2)
= Ft1 + (Sp2 – Ft2)
= Ft1 + b2
where b2 represents basis at time t2
Since b2 isunknown, the futures transaction is exposed to basis risk. If b2 = b1, then the effective price at which Euro sold will be Ft1 + Sp1 – Ft1 = Sp1. Due to this the risk is completely eliminated and the dollars inflows will be at today’s spot price.
Hedge Ratio
A hedger has to determine the number of futures contracts that provide best hedge for his/her risk-return profile. The hedge ratio allows the hedger to determine the number of contracts that must be employed in order to minimize the risk of the combined cash-futures position. We can define hedge ratio “as the number of futures contracts to hold for a given position in the underlying asset”.
HR =
In illustration 11.1 we considered that US exporter will hedge 625,000 receivables by selling 5 contracts on Euro futures i.e. 5 x 125,000. In that case, the hedge ratio is 1.0. The hedge ratio 1.0 will give perfect hedge when there is no change in the basis. The loss on the underlying asset position is offset by profit on the futures position and vice versa. In illustration 11.2, we mentioned that when the US exporter took a short position on 5 contracts, he made a profit on the futures position which was less than the loss on the spot position. This resulted in an imperfect hedge. Had the US exporter taken a short position on 8.33333 contracts he would have got perfect hedge.
Speculation Using Futures
Speculation differs from hedging in the sense that the basic objective of speculation is to capitalize on the difference between the expectation of speculator and that of the market. Speculation using futures can be of two types: open position trading and spread trading. When a speculator is betting on the price movements associated with a particular contract, it is called open position trading. When the speculator is trying to take advantage of movements in the price differentials between two separate futures contracts, it is called spread trading. An open position is relatively a riskier proposition than spread trading since in the former the speculator takes either a long or short position in any one contract whereas in a spread trading the speculator takes both long and short position in different contracts. Hence the risk involved in open position is higher than in spread position. We shall see some examples for both types of trading strategies in the following sections.
Pricing of Currency Futures
Pricing of the currency futures also follows the cost-carry-relationship, but in a different way. The assets which are being purchased and sold are currencies, interest rates for both the currencies determine the cost-carry-relationship. A theoretical currency futures price will be the price at which a profitable cash and carry arbitrage does not exist, more specifically, it will be where a covered interest rate arbitrage is not profitable.
Hence a currency futures price depends on the prevailing spot rate of exchange and interest rates of both the currencies concerned.
Example: On June 20, the 3-month interest rates in the US and Canada are 5.7% p.a. and 3.5% p.a. respectively. The $/Can$ Spot price is 0.6560. The theoretical futures price of September Can$ futures contract (delivery is on September 18) will be as follows:
USr = 5.7% p.a.
Can$ = 3.5% p.a.
Sp $/Can$ = 0.6560
T = 91 (days)
Futures price = S x
= 0.6560 x
= 0.6560 x 1.0054 = 0.6595
Currency Futures Market in India - Future Prospects
The foreign exchange market has been strictly regulated in India. The RBI used to monitor and maintain foreign exchange rates within a particular range of values. Demand and supply of foreign currency became relevant after the Liberalized Exchange Rate Mechanism (LERMS) started in 1992. The US dollar became the intervening currency in place of the pound sterling. Today, more than 80 percent of India's foreign trade is denominated in US dollars. Now there is a floating exchange rate in India, which is determined by market forces. The RBI intervenes in the market at times to give proper direction to the exchange rate or to curb speculative volatility. The rupee has been convertible on current account since 1993, which means that there is no restriction on foreign exchange for trade and other current account transactions. However, capital account