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A Note On Interest Rate Futures

            

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LONG-TERM HEDGING (HEDGING THE RISK OF A FALL IN INTEREST RATES FOR AN INVESTMENT)

This form of hedging is used to protect returns on investments made. Assume an investor is expecting a cash inflow and plans to invest the cash when it is received. He is worried about the rate at which the investments will be made and would like to hedge the risk of a fall in interest rates. He can hedge by buying T-Bills or Eurodollar futures in the futures market today.

Example:

On January 6, 2003, a firm comes to know that it would receive $10 million on March 15, 2003, from its foreign subsidiary. The firm wishes to invest the amount in T-Bills. On January 6, 2003, the discount yield on a 3-month T-Bill is 7.24% while the current implied discount yield on March T-Bill futures is 7.14%. Since the firm is concerned about a decline in LIBOR rate, it decides to go long on March T-Bill futures contract to protect itself from any decline in interest rates. The firm buys 10 March 2003 T-Bill futures contracts on January 6 at a price of $92.86, locking in the discount yield of 7.14%. The following two illustrations provide a better explanation of this transaction:

Case I

The 3-month discount yield on T-Bills falls to 6.5% by March 15 (thus March futures will be priced at 93.5).

Price of Cash T- bill = $100,00,000 X (1 – 0.065 X 3/12) = $98,37,500

Less: Gain on Futures = (Price Change) X ($25/BP) X 10
= $(93.5 – 92.86) X 100 X 25 X 10
= $16,000

Effective Purchase price = $ 98,21,500
Annualized discount yield
= (100,00,000 – 98,21,500/100,00,000) X 12/3 X 100
= (178500/100,00,000) X 4 X 100
= 7.14%

Case II

The 3-month discount yield on T-Bills rises to 8.5% by March 15 (thus March futures will be priced at 91.5).

Price of Cash T- bill = $100,00,000 X (1 – 0.085 X 3/12)
= $97,87,500

Add Loss on Futures = (Price Change) X ($25/BP) X 10
= (92.86 – 91.5) X 100 X 25 X 10
= $34,000

Effective Purchase Price = $98,21,500

Annualized discount yield
= [(100,00,000 – 98,21,500)/100,00,000] X 12/3 X 100
= 7.14%

In both cases, the firm has locked in the investment yield at 7.14%. In the first case, there was a gain on the long futures position of $16000, because of a decline in the interest rate. In the second case, loss on the futures position of $34000 was due to an increase in the interest rate.

ARBITRAGE WITH T-BILL FUTURES

SPREADING WITH INTEREST RATE FUTURES

TABLE II TRANSACTIONS INVOLVING BUYING THE TED SPREAD

TREASURY BONDS FUTURES

PRICING OF T-BOND FUTURES CONTRACTS

QUOTED FUTURES PRICE

TABLE III STEPS TO CALCULATE QUOTED FUTURES PRICE

CONCLUSION

EXHIBIT I LIST OF ACTIVELY TRADED SHORT TERM INTEREST RATE FUTURES

EXHIBIT II LIST OF ACTIVELY TRADED LONG TERM INTEREST RATE FUTURES


EXHIBIT III T-BILL FUTURES AND EURODOLLAR FUTURES

EXHIBIT IV NO ARBITRAGE FUTURES PRICE

EXHIBIT V CHARACTERISTICS OF T-NOTE AND T-BONDS

EXHIBIT VI CHEAPEST TO DELIVER BOND

ADDITIONAL READINGS & REFERENCES


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