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Part-10 FOREX

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Page 1: Part 10

Part-10

FOREX

Page 2: Part 10

Introduction Foreign exchange or FOREX is not

traded on organized exchanges. Thus the market is purely OTC It is a network of dealers which is

primarily dominated by commercial banks.

In India all dealers have to obtain prior approval from the RBI.

Such dealers are called Authorized Dealers or ADs.

Page 3: Part 10

FOREX Quotes

The exchange rate for a currency is the amount of that currency that can be exchanged per unit of another currency.

In other words it is the price of one currency in terms of another currency.

Page 4: Part 10

Two Quoting Conventions

Think of an asset such as a share. We usually quote the price as Rs 100

per share. We can also quote it as .10 shares for

Rs 10. However we always quote as units of

currency per unit of the asset and not as units of the asset per unit of the currency.

Page 5: Part 10

Conventions (Cont…)

The difference in the case of FOREX is that we are quoting the price of one currency (which is also an asset), in terms of the price of another currency.

Thus we can quote in terms of Rupees per Dollar or equivalently in terms of Dollars per Rupee.

Page 6: Part 10

Direct Quotes

If the price of the foreign currency is quoted as the number of units of the Domestic currency per unit of the Foreign currency, it is called a Direct Quote. For example Rs 43.75 per dollar is an

illustration of a direct quote.

Page 7: Part 10

Currency Symbols Before we proceed let us list the

internationally accepted symbols of various currencies. Australian Dollar – AUD Canadian Dollar – CAD Indian Rupee – INR Japanese Yen – JPY Pound Sterling – GBP Singapore Dollar – SGD Swiss Franc – CHF US Dollar - USD

Page 8: Part 10

Direct Quotes (Cont…)

Consider a quote of INR 43.75 per USD.

If the rate increases to INR 44.25 per USD It implies that every dollar is worth more

in terms of Rupees And we would say that the dollar has

appreciated or the rupee has depreciated.

Page 9: Part 10

Direct Quotes (Cont…) However if the rate were to decline to

INR 43.20 per USD Then each dollar would be worth less in

terms of rupees and we would say that The dollar has depreciated or that the

rupee has appreciated.

Page 10: Part 10

Direct Quotes (Cont…)

Thus in the case of direct quotes: An increase in the quoted value

signals an appreciating foreign currency and a depreciating domestic currency

A decrease in the quoted value signals a depreciating foreign currency and an appreciating domestic currency

Page 11: Part 10

Indirect Quotes

We can also quote an exchange rate as the number of units of foreign currency per unit of the domestic currency.

For instance if we have a quote of USD 2.25 per INR 100, it would be an indirect quote in India.

Page 12: Part 10

Indirect Quotes (Cont…)

If the rate were to increase to USD 2.40 per INR 100, it would imply that The dollar has depreciated or the

rupee has appreciated. Thus an increase in the value connotes

a depreciating foreign currency and an appreciating home currency.

Page 13: Part 10

Indirect Quotes (Cont…)

If the rate were to decline to USD 2.10 per INR 100, it would imply an appreciating dollar and a depreciating rupee. Thus a decline in the rate connotes an

appreciating foreign currency and a depreciating home currency.

Page 14: Part 10

Confusion

It appears that an increase in the rate connotes an appreciating foreign currency if rates are quoted directly and a depreciating foreign currency if they are quoted indirectly.

How do we avoid errors?

Page 15: Part 10

Numerator/Denominator Always think in terms of numerator and

denominator currencies. In a direct quote in India like INR 43.75

per USD, the rupee is the numerator currency and the dollar is the denominator currency.

If the rate increases it means that the numerator currency has depreciated.

Else if it decreases it means that the numerator currency has appreciated.

Page 16: Part 10

Numerator/Denominator (Cont…)

In the case of an indirect quote like USD 2.25 per INR 100, the dollar is the numerator currency and the rupee is the denominator currency.

Once again an increase in the rate would mean that the numerator currency which is the dollar has depreciated.

Page 17: Part 10

Numerator/Denominator (Cont…)

On the other hand, a decline in the value would mean that the numerator currency has appreciated.

Page 18: Part 10

Direct or Indirect

Until 1993 banks in India were using the indirect quotation system.

Subsequently they have switched to the direct method.

We will use the direct method for most of our illustrations.

Page 19: Part 10

Purchase & Sale

Whenever we say buying or selling rates we always mean it from the dealer’s perspective.

When rates are quoted there will be two rates, one for buying and the other for selling.

Page 20: Part 10

Purchase & Sale (Cont…)

Consider the Direct Quoting system.

43.25/43.70 INR/USD For the dealer purchase involves

conversion of foreign exchange into rupees.

Page 21: Part 10

Illustration-1

BHEL has exported turbines to Libya and has received a check for 10 MM USD.

When it presents it to its bank asking for the equivalent amount in rupees to be credited to its account, it constitutes a purchase transaction.

Page 22: Part 10

Illustration-2

An NRI from Dubai has remitted 10000 USD to his relative in Kochi.

When the bank converts it to the rupee equivalent and credits the relative’s account it constitutes a purchase.

Page 23: Part 10

Purchase/Sales (Cont…)

Conversion of domestic currency into foreign currency by a bank will be termed as a sale of foreign exchange.

Page 24: Part 10

Illustration-3

Tata Steel has imported iron ore from Australia and needs to pay the party in Sydney.

It therefore requests SBI to prepare a check for 50 MM AUD and debit its current account.

This constitutes a sale for the bank.

Page 25: Part 10

Bid and Ask For a given currency, the price at which

the dealer is willing to buy the currency will obviously be lower than the price at which he is willing to sell it.

So in the direct quotation system the bid will be lower than the ask.

For instance, a quote for USD may read:43.2400-43.3100.

Page 26: Part 10

Bid and Ask (Cont…) However in the indirect system, the bid

will be greater than the ask.For instance a quote for USD may read:2.2200-2.1500

This means that when the AD is buying dollars he will give 100 rupees for every 2.22 dollars purchased.

However when he is selling USD he will charge 100 rupees for every 2.15 dollars sold.

Page 27: Part 10

Arbitrage Arbitrage in the FOREX market can

arise on various counts. We have situations conforming to

what are called: One point arbitrage Two point arbitrage Triangular or three point arbitrage Covered interest arbitrage

Page 28: Part 10

One Point Arbitrage ICICI bank is quoting: 43.2400-

43.3100 SBI is quoting: 43.3500-43.4200 Consider the following strategy:

Borrow 433,100 rupees By 10000 USD from ICICI. Sell 10000 USD to SBI Receive 433,500 from SBI There is an arbitrage profit of INR 400.

Page 29: Part 10

One Point Arbitrage (Cont…) Now consider the following quotes: ICICI: 43.2400-43.3100 SBI: 43.3000-43.3700

Clearly arbitrage is not possible. Or:

ICICI: 43.2400-43.3100 SBI: 43.1800-43.2500 Once again no arbitrage

Page 30: Part 10

One Point Arbitrage (Cont…)

So to rule out arbitrage the quotes of two banks must overlap by at least one point.

What is a point, for most currencies it is 1/10000 of the domestic currency.

For instance a point in India is 0.0001 rupees.

Page 31: Part 10

Two Point Arbitrage

ICICI is quoting: 27.2500-27.3500 INR/SGD DBS Singapore is quoting: 3.7000-3.7250 SGD/100 INR This is an arbitrage opportunity

Page 32: Part 10

Two Point Arbitrage (Cont…)

Consider the following strategy: Borrow 10000 SGD and sell it to ICICI. You will get 272500 INR. Sell this to DBS in Singapore in return

for: 3.7000 x 2725 = 10082.50 There is an arbitrage profit of 82.50

SGD.

Page 33: Part 10

Why Arbitrage?

Consider ICICI’s quote of: 27.2500-27.3500

When ICICI is quoting 27.2500 for buying 1 SGD it is effectively saying that it is willing to sell 1 INR for1/27.2500 = 0.036697 Ξ 3.6697 SGD/100INR

Page 34: Part 10

Why? (Cont…)

Similarly a quote of 27.3500 for selling SGD amount to a quote of:1/27.3500 = 3.6563 SGD/100INR for buying rupees.

Thus 27.2500-27.3500 INR/SGD corresponds to 3.6563-3.6697 SGD/100INR.

Page 35: Part 10

Why? (Cont…)

This does not overlap with 3.7000-3.7250 which is what DBS is quoting in Singapore.

Hence the potential for arbitrage. Thus two-point arbitrage is nothing

but the logic of one point arbitrage extended to two markets.

Page 36: Part 10

Triangular or Three-Point Arbitrage To do triangular arbitrage we need

three currencies. Assume that Bank Mitsubishi is

offering the following rates: 75.2150-75.2750 JPY/AUD 150.2025-150.2925 JPY/USD

Citibank NYC is offering: 0.5220-0.5280 USD/AUD

Page 37: Part 10

Arbitrage Strategy

Borrow 752750 yen in Tokyo and buy 10000 AUD.

Sell it in NYC for 5220 USD. Sell the USD in Tokyo in return for

5220 x 150.2025 = 784057.05 JPY Clearly there is an arbitrage profit of:

784057.05 – 752750 = 31307.05 JPY

Page 38: Part 10

Arbitrage (Cont…) Hence the condition required to

preclude arbitrage is that: (JPY/AUD)ask ≥ (USD/AUD)bid x (JPY/USD)bid

Similarly it can be shown that: (JPY/AUD)bid ≤ (USD/AUD)ask x (JPY/USD)ask

The LHS in the above expressions is the natural rate for a currency.

The RHS represents the synthetic rate for the currency.

Page 39: Part 10

Arbitrage (Cont…)

Thus the no arbitrage conditions may be stated as:

The natural ask should be greater than or equal to the synthetic ask.

The natural bid should be less than or equal to the synthetic bid.

Page 40: Part 10

Forward Rates

Forward trading is very common in foreign currency markets.

Although futures trading is very active in certain countries, particularly in the US, the volume of trading in the forward market is much higher than in the futures market.

Page 41: Part 10

Forward Rates (Cont…)

The forward market is an OTC market.

The majority of the participants are commercial banks.

Page 42: Part 10

Forward Rates (Cont…)

In the case of direct quotes, if the forward rate is greater than the spot rate then the foreign currency is said to be trading at a forward premium.

However if the forward rate is less than the spot rate, then the foreign currency is said to be trading at a forward discount.

Page 43: Part 10

Forward Rates (Cont…)

If the forward rate is equal to the spot rate, then the currency is said to be trading flat.

Page 44: Part 10

Illustration-1

Spot: 43.2500-43.2800 INR/USD 1 M Forward: 43.2650-43.3050 Obviously the US dollar is at a

forward premium.

Page 45: Part 10

Illustration-2:

Spot: 43.2500-43.2800 1 M Forward: 43.2250-43.2600 Obviously the US dollar is at a

forward discount.

Page 46: Part 10

Illustration-3

Spot: 43.2500-43.2800 1 M Forward: 43.2500-43.2800 The dollar is trading flat

Page 47: Part 10

Forward Rates (Cont…) In the above cases the full forward rate

has been specified for both buying and selling.

These are called Outright Forward Rates.

However sometimes only the difference between the spot rate and the forward rate called the Forward Margin or the Swap Points will be given.

Page 48: Part 10

Forward Rates (Cont…)

Consider the following data: Spot: 43.2500-43.2800 Forward: 45/75 Obviously the forward figure

represents the swap points. However we do not know whether

the dollar is at a premium or at a discount.

Page 49: Part 10

Forward Rates (Cont…) Thus should the swap points be

added to the spot rates or should they be subtracted.

The point to remember is that the spot market has the maximum liquidity.

The further we go in time, the less will be the liquidity and the higher will be the spread.

Page 50: Part 10

Forward Rates (Cont…)

Hence when the swap points are specified as a/b where a < b, then adding the points will widen the spread.

Thus a specification of a/b where a < b indicates that the foreign currency is at a forward premium and that the points should therefore be added to the spot rates.

Page 51: Part 10

Forward Rates (Cont…) In this case the rates would be: Spot: 43.2500-43.2800 1 M Forward: 43.2545-43.2875 However what if the swap points

had been specified as 75/45. In this case subtracting the swap

points from the spot rates will widen the spread.

Page 52: Part 10

Forward Rates (Cont…)

Thus a quote of 75/45 indicates that the foreign currency is at a forward discount.

The corresponding forward rates are:

43.2425-43.2755

Page 53: Part 10

Indirect Quotes

In the case of indirect quotes the logic will have to be reversed.

In such cases the bid will be higher than the ask.

Thus if the swap points are specified as a/b where a < b, then subtracting the points will widen the spread.

Page 54: Part 10

Indirect Quotes (Cont…) Thus while a/b where a < b does

indicate a forward premium, the points must be subtracted in order to arrive at the outright forward rates.

Similarly a/b where a > b indicates a forward discount.

However the points will have to be added in order to arrive at the outright forward rates.

Page 55: Part 10

Merchant Rates & Exchange Margins Whenever a dealer buys or sells to a

client he will have to interact with the Inter-bank market either prior to the deal or subsequent to it.

Consider a purchase transaction. In this case after acquiring the

foreign currency from the client, the dealer will have to sell it in the inter-bank market.

Page 56: Part 10

Merchant…(Cont…) Had it been a sale transaction, the

dealer would have had to acquire the currency in the inter-bank market prior to selling it to the client.

Clearly there has to be a relation between the rates in the inter-bank market and the rates quoted by the dealer to the client, which are called merchant rates.

Page 57: Part 10

Merchant…(Cont…) Let us take a purchase transaction. After the purchase the dealer will

have to dispose off the currency in the inter-bank market.

The relevant rate is therefore the bid in the inter-bank market.

Thus the Base Rate for purchase transactions is the inter-bank bid.

Page 58: Part 10

Merchant…(Cont…)

If the dealer has to make a profit on the deal, the bid price quoted by the dealer has to be lower than the bid in the inter-bank market.

Similarly in a sale transaction the dealer has to acquire the currency at the ask rate in the inter-bank market before selling it to the client.

Page 59: Part 10

Merchant…(Cont…)

The relevant base rate in this case is the ask rate in the inter-bank market.

In order for the dealer to make a profit the ask rate quoted by him must be higher than the inter-bank ask rate.

The profit margins applied by the dealer is known as the exchange margin.

Page 60: Part 10

Merchant…(Cont…)

As should be obvious, in a purchase transaction the exchange margin will be subtracted from the base rate before a buying rate is quoted to the client.

In a sale transaction the exchange margin will be added to the base rate before a selling rate is quoted to the client.

Page 61: Part 10

Illustration-1 The inter-bank rates on a given day

for the US dollar are: 44.2000-44.2500 An exporter has just received a

draft for USD 10000 which he then presents to the bank.

The bank as a matter of policy levies an exchange margin of 0.05%.

Page 62: Part 10

Illustration-1 (Cont…)

Given the fact that the dealer is buying his base rate is the bid of 44.2000.

The rate quoted to the client will therefore be:44.2000(1 – 0.0005) = 44.1779

Page 63: Part 10

Illustration-2

The inter-bank rates on a given day are as follows:

Spot: 44.2000-44.2500 1 M Forward: 125/75 A client comes to the bank seeking

to make an outward remittance of 10000 USD after one month.

Page 64: Part 10

Illustration-2 (Cont…) The first step is to calculate the

outright one-month forward rates. These are:

44.1875-44.2425 Since the AD is selling the relevant

rate is the ask which is 44.2425. Assume that the exchange margin

is 0.08%.

Page 65: Part 10

Illustration-2 (Cont…)

The rate that will be charged to the client will therefore be:44.2425(1 + 0.0008) = 44.2779

Page 66: Part 10

Inter-bank Swap Deals

Banks regularly enter into deals with each other where they either buy spot and sell forward or vice-versa or else buy forward for one maturity and sell forward for another maturity.

These are called Swap transactions and Forward to Forward Swap transactions respectively.

Page 67: Part 10

Swap Deals (Cont…) Since banks routinely enter into such

deals with each other they ignore the bid-ask spread implicit in the inter-bank spot quote and focus solely on the premium or discount applicable for a forward trade with the required maturity.

The following examples will illustrate this.

Page 68: Part 10

Swap Deals…(Cont…) The rates in the inter-bank market are

as follows. Spot: 44.2000-44.2500 Forward: 125/75 ICICI Bank is selling spot to HDFC and

buying 1M forward. The number of concern here is the

discount applicable for a one month forward sale which is 75 points.

Page 69: Part 10

Swap Rates…(Cont…) The spot rate chosen for the transaction

may be any rate between the current quotes of 44.2000 and 44.2500.

Assume that a rate of 44.2200 is chosen.

ICICI will therefore sell spot at this rate. Since it is buying 1M forward and the

dollar is at a discount, the applicable rate will be 44.2200 - .0075 = 44.2125.

Page 70: Part 10

Option Forwards Sometimes while entering into a

forward contract the client may not know the exact date on which he would need to buy or sell.

For instance an importer is expecting a shipment which is likely to arrive between one to two months from now.

However he is not sure of the precise date.

Page 71: Part 10

Option Forwards (Cont…) The importer can in such cases negotiate a

forward contract with the option to take delivery of the foreign currency at any time between one to two months from now.

The question is how should the bank quote a rate.

Should it assume that the transaction will take place one month later or should it assume that it will take place two months later.

Page 72: Part 10

Option Forwards (Cont…) The AD will always assume that the

transaction will take place at the worst possible time from his point of view.

What is the worst possible situation? It would depend on:

Is the AD buying or selling Is the currency at a premium or at a

discount

Page 73: Part 10

Illustration-1

Indian Rayon is importing machinery and requires dollars between two and three months from now.

It wants a forward contract with an option to buy at any time between two and three months from now.

Page 74: Part 10

Illustration-1 (Cont…)

The inter-bank rates are: Spot: 45.4500-45.8525 1M Forward: 45/85 2M Forward: 70/110 3M Forward: 110/155

Page 75: Part 10

Illustration-1 (Cont…) The relevant rate in this case is the

selling rate since the dealer is selling.

If the contract is completed after 2 months the applicable premium is 110 points.

However if it is completed after three months the applicable premium will be 155 points.

Page 76: Part 10

Illustration-1 (Cont…)

Since a premium is being charged, the dealer will levy the higher of the two amounts.

So the applicable rate for the option forward will be:45.8525 + 0.0155 = 45.8680

Page 77: Part 10

Rule

In a sale transaction where a premium is applicable, charge the premium for the latest date of delivery.

Page 78: Part 10

Illustration-2

Assume that the spot rate is the same as earlier but that the dollar is trading at a discount.

Spot: 45.4500-45.8525 1M: 75/35 2M: 115/75 3M: 140/95

Page 79: Part 10

Illustration-2 (Cont…) If the transaction is completed after two

months the applicable discount will be 75 points.

Whereas if it is completed after three months, the applicable discount will be 95 points.

Since the dealer is giving a discount he will give the lower of the two values.

So the applicable rate will be:45.8525 – 0.0075 = 45.8450

Page 80: Part 10

Rule

For a sale transaction where the foreign currency is trading at a discount, the rule is allow the discount applicable for the earliest date of delivery.

Page 81: Part 10

Illustration-3 A party has exported a consignment

and will be paid in dollars at a point in time between one and two months from today.

The rates in the inter-bank market are:

Spot: 45.3500-45.7320 1M: 35/80 2M: 65/115

Page 82: Part 10

Illustration-3 (Cont…) The relevant base rate here is the

bid of 45.3500. If the transaction occurs after one

month the applicable premium will be 35 points.

However if it occurs after two months the applicable premium will be 65 points.

Page 83: Part 10

Illustration-3 (Cont…)

Since the AD is buying, he will give the lower of the two premia.

So the applicable rate in this case will be:45.3500 + 0.0035 = 45.3535

Page 84: Part 10

Rule So the rule for a purchase transaction

where the currency is quoting at a premium is:

Offer the premium for the earliest delivery date.

If the currency had been quoting at a discount, the rule would have been:

Offer the discount for the latest date of delivery.

Page 85: Part 10

Covered Interest Arbitrage

The strategies that result in the no-arbitrage condition for foreign exchange forward contracts are called Covered Interest Arbitrage strategies.

Page 86: Part 10

Cash and Carry

Consider the following information: Spot rate: 25.2025 INR/SGD 3M Forward rate: 25.5075 INR/SGD Interest rate for 3M loan in India:

7.5% p.a. Interest rate for 3M loan in Singapore:

4.5% p.a.

Page 87: Part 10

Cash and Carry (Cont…) Borrow 252025 INR and buy 10000 SGD. Invest it in Singapore at 4.5%. Future value = 10000(1.01125) =

10112.50 SGD At the outset go short in a forward

contract to sell this amount after 3 months.

Proceeds in INR = 10112.50 x 25.5075 = 257944.59

Page 88: Part 10

Cash and Carry (Cont…)

Amount due in India = 252025(1.01875) = 256750.46

Arbitrage profit = 257944.59 – 256750.46= 1194.13 INR

Page 89: Part 10

Reverse Cash and Carry

Consider the following information: Spot: 25.2025 3M Forward: 25.3075 3M rate in India = 7.5% p.a. 3M rate in Singapore = 4.5% p.a.

Page 90: Part 10

Reverse Cash and Carry

Borrow 10000 dollars in Singapore. Convert it into 252025 INR. Invest it in India. Future value = 252025(1.01875) =

256750.46 Amount due in Singapore =

10000(1.01125) = 10112.50

Page 91: Part 10

Reverse Cash and Carry

Go long in forward contract at the outset to buy this amount.

Cost = 25.3075 x (10112.50) = 255922.09

Arbitrage profit = 256750.46 – 255922.09= 828.37 INR

Page 92: Part 10

Symbolic No-Arbitrage Condition

Spot: S INR/FCR M Period Forward: F INR/FCR Indian M-period rate = id Foreign M-period rate = if No arbitrage requires that:

S(1+id) = F(1+if)

So: F = S x (1+id) ______ (1+if)

Page 93: Part 10

Interest Rate Parity

This is called the interest rate parity condition.

It can be written:F – S id - if

_______ = ________ ≈ id - ifS (1+if)

Page 94: Part 10

Reality Check What looks like an arbitrage opportunity

in practice may not be exploitable. One reason is the presence of

transactions cost. The issue is therefore can we make a

profit after taking such costs into account.

Secondly a country may not permit free movement of currencies across borders.

Page 95: Part 10

Reality Check (Cont…)

Thus a perceived opportunity may not be exploitable in practice.

In fact even a perception that exchange controls may be imposed may preclude arbitrageurs from trying to take advantage of such opportunities.

Take the case of the arbitrageur who buys and invests 10000 dollars in Singapore.

Page 96: Part 10

Reality Check (Cont…)

His arbitrage profit is realizable subject to the condition that he is able to repatriate the amount from Singapore after 3 months.

The other key factor is the tax regulations in the two countries.

The issue of relevance is the possibility of a post-tax profit.

Page 97: Part 10

Arbitrage with Transactions Costs

Let us introduce bid-ask spreads in the spot and forward markets, as well as differential rates for borrowing and lending Spot: Sb/Sa

Forward: Fb/Fa

Domestic Rates: rdb/rdl

Foreign Rates: rfb/rfl

Page 98: Part 10

Cash and Carry The arbitrageur will buy Singapore

dollars at the spot ask rate, which is Sa. He will lend it in Singapore. The future value will be (1+rfl) He would have gone short in a forward

contract at Fb. He will get Fb(1+rfl) when he delivers

under the forward contract.

Page 99: Part 10

Cash and Carry (Cont…)

Amount due in India is Sa(1+rdb) Arbitrage will be ruled out if

Sa(1+rdb) ≥ Fb(1+rfl)

Fb ≤ Sa(1+rdb)

_______(1+rfl)

Page 100: Part 10

Reverse Cash and Carry Borrow a Singapore dollar and buy Sb rupees. Lend it in India. Future value = Sb(1+rdl) Go long in a forward contract at Fa. Equivalent amount in Singapore dollars at

maturity = Sb(1+rdl) _________ Fa

Amount due in Singapore = (1+rfb)

Page 101: Part 10

Reverse Cash and Carry (Cont…)

Arbitrage is ruled out if:Sb(1+rdl)

_________ ≤ (1+rfb)

Fa

Fa ≥ Sb(1+rdl) _______

(1+rfb)

Page 102: Part 10

Illustration

Consider the following rates: Spot: 1.5015/1.5125 USD/GBP Forward: 1.5295/1.5410 USD/GBP US rates: 5.5%/5.3% UK rates: 4.5%/4.3%

Page 103: Part 10

Illustration (Cont…) First let us check whether cash and carry

is feasible. Borrow 1.5125 USD and buy 1 pound. Invest it in the UK at 4.3% Go short in a forward contract at 1.5295. Final proceeds in dollars = 1.043x 1.5295

= 1.5952685 Amount due in dollars = 1.5125 x 1.055

= 1.5956875 Hence: NO ARBITRAGE

Page 104: Part 10

Illustration (Cont…) What about reverse cash and carry. Borrow a pound and convert it into 1.5015

dollars. Invest it at 5.3%. Final proceeds = 1.053x1.5015 =

1.5810795 Go long in a forward contract to acquire:

1.5810795 _________ = 1.0260087 pounds

1.5410

Page 105: Part 10

Illustration (Cont…)

Amount to be paid back in UK = 1.045

Hence: NO ARBITRAGE

Page 106: Part 10

Futures Markets The biggest futures exchange for foreign

exchange is the International Monetary Market (IMM) at the Chicago Mercantile Exchange (CME).

Currencies traded include:Australian Dollars; Canadian Dollars, Brazilian Reals; Euro; Japanese Yen; Pound Sterling; Mexican Peso; NZ Dollar; Swiss Francs Russian Rubles; South African Rands

Page 107: Part 10

Illustration on Hedging using Futures Contracts

Eli Lilly is scheduled to receive 25 MM Swiss Francs after 2 months.

The worry is obviously that the dollar will appreciate and that since the invoice is denominated in Swiss Francs, the proceeds in dollars may be less than anticipated.

Since Swiss Francs have to be sold, the company needs to go short in futures.

Assume that it uses 3 month contracts.

Page 108: Part 10

Illustration (Cont…) On the IMM each Swiss Francs

futures contract is for 125,000 CHF. So for 25 MM CHF

25,000,000_____________ = 200 contracts will be 125,000 required. The rates in the futures market are:

0.5150/0.5190

Page 109: Part 10

Illustration (Cont…) Obviously the applicable rate is the bid

of 0.5150. Assume that the rates after two months

are as follows:Spot: 0.4985-0.50251M Futures: 0.4985-0.5025

If the company had not hedged, it would have had to sell 25 MM CHF at 0.4985 which would have yielded 12,462,500USD

Page 110: Part 10

Illustration (Cont…)

Since it has hedged it will receive:25,000,000 x (0.5150 – 0.5025) =312,500 as a profit from the futures market.

The proceeds from the cash market = 12,462,500

Total proceeds = 12,775,000

Page 111: Part 10

Illustration (Cont…)

Effective rate: 12,775,000 __________ = 0.5110 25,000,000

Page 112: Part 10

Illustration-2 An airline in the US has ordered parts from

the US worth 4MM pounds. The payment is due after one month. The worry is that the dollar will depreciate

for if it does, the payment in dollars will go up.

Since pounds have to be acquired the firm needs to go long in a futures contract.

Assume that two month contracts are available.

Page 113: Part 10

Illustration-2 (Cont…)

Current rates are:Spot: 1.4025-1.40752M Forward: 1.4120-1.4190

Assume that the rates after one month are:Spot: 1.4150-1.42201M Forward: 1.4250-1.4335

Page 114: Part 10

Illustration-2 (Cont…)

If the company had not hedged it would have paid4,000,000 x 1.4220 = 5,688,000

The effective cost if it hedges can be calculated as follows.

Buy spot at 5,688,000 Profit from futures =

4,000,000(1.4250-1.4190) = 24000

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Illustration-2 (Cont…)

Total payment in dollars = 5688000 - 24000 = 5664000

Effective exchange rate:5664000

__________ = 1.41604000000

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FOREX Options

Foreign currency options are traded on a number of exchanges. In the U.S. the Philadelphia exchange

is a major centre for such contracts. In addition to exchange traded

options, customized contracts are traded by banks and other financial institutions.

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Hedging

For a party who wants to hedge a foreign currency exposure, options provide an alternative to forward contracts.

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Illustration An Indian exporter is expecting to be paid

in pounds after a month. His worry is that the pound will depreciate

and that he may receive fewer rupees than anticipated.

He can hedge by buying put options on Sterling. He can then be sure that the value of the

Sterling will never be below the exercise price.

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Illustration (Cont…)

Similarly, a party who is due to make a payment in Sterling at a future date will be afraid that the Sterling may appreciate.

One way for it to hedge is by buying calls on Sterling. This way it can ensure that the currency

will not cost more than the exercise price.