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session to use in setting up both a micro and a macro hedge. A summary of your bank's position is as follows: '- Total assets: $150 million '- Duration gap: 2.20 years '- Primar'y holdings of concern: $7 million in 6% Canada bonds selling at par that will mature in 5 years ' $12 million in stocks with an average beta of 0.90 Your assignment after the first study session is to set up a micro hedge for the Canada bonds that will help the bank offset the adverse effect of interest-rate increases on the bonds being held and to set up a macro hedge that will minimize any negative effect on the market value of net worth when interest rates rise. You gather information from the most recent nancial press regarding Canada bond contracts with a maturity of about one year. Historical relationships between Canada bond futures contracts and Canada bonds indicate that the change in the value of the hedged asset relative to the futures contract would be about 1.3 and that interest rates on the hedged asset change on average for a given change in the interest rate on the futures contract by about 0.90. A 1% increase in interest rates results in a decline in value for Canada bonds of 8% of par. 1. If you expect interest rates to rise, what type of hedge should you set up, long or short? 2. How many futures contracts are needed to set up a complete hedge? 3. If interest rates on Canada bonds rise by 1%, what would be the change in the value of the bank's a. Canada bonds? b. Canada bond futures contracts? 4. If the bank can set up $150 million in futures contracts whose underlying bonds have an average duration of 2.20 years, what would be the change in the value of the bank's a. Market value of net worth (without the futures contracts)? b. Macro hedge position? c. Market value of net worth (including the effects of the futures contracts)? 5. If the bank cannot find a set of futures contracts with the same duration as the bank (2.20 years) but has found enough contracts with a duration of 4.40 years, a. How much of this contract would the bank sell? b. For a 1% increase in interest rates, what would be the percentage change in the price of the futures contract? c. What would be the decline in the market value of the bank's net worth without the futures contract in place? d. What would be the change in the market value of the bank's net worth with the futures contract in place? 6. How could basis risk result in eliminating the forecasted success of the hedge positions described previously? 7. Identify the generally accepted accounting principles that would inuence your decision to use hedging strategies. 8. If on January 5 you see June S&P 500 Index contracts selling for 800, how many contracts must the bank sell to immunize its portfolio against systematic (market) risk? 9. If the S&P 500 falls by 10% between January 5 and June, what will be the change in a. The market value of the bank' s stocks? b. The market value of the bank's index contracts described in Question 8? c. The market value of the rm's net worth
