GF510_Unit 4 Assignment 1_Andrews, Tradawnya

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Feb 20, 2024

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Unit 4 Assignment 1 Tradawnya Andrews Purdue Global University GF510
Chapter 23 Question 6 Suppose an FI purchases a 20-year Treasury bond futures contract at 95. a. What is the FI’s obligation at the time the futures contract is purchased? The FI is obligated to purchase the futures contract at a preset price of $95,000 on a set date. b. If an FI purchases this contract, in what kind of hedge is it engaged? If the FI purchases the futures contract it is engaging in long-term hedging. c. Assume that the Treasury bond futures price falls to 94. What is the loss or gain? There will be a loss of $1,000. $95k - $94k. d. Assume that the Treasury bond futures price rises to 97. Mark to market the position. There will be a gain of $2,000. $97k - $95k. Chapter 24 Question 18 An FI has a $100 million portfolio of six-year Eurodollar bonds that have an 8 percent coupon. The bonds are trading at par and have a duration of five years. The FI wishes to hedge the portfolio with T-bond options that have a delta of −0.625. The underlying long-term Treasury bonds for the option have a duration of 10.1 years and trade at a market value of $96,157 per $100,000 of par value. Each put option has a premium of $3.25 per $100 of face value. A. How many bond put options are necessary to hedge the bond portfolio? N = duration x price / delta x duration2 x market value N = 5 x 1000,000,000 / .625 x 10.1 x 96,157 N = 500,000,000 / 606,991.06 N = 823.74 = 824
B. If interest rates increase 100 basis points, what is the expected gain or loss on the put option hedge? = N x delta x -D2 x B x R / (1 + R) = 824 x -.625 x -10.1 x 96,157 x .01 / (1 + .084) = 4,614,028 C. What is the expected change in market value on the bond portfolio? = -D x P x R / (1 + CR) = -5 x 1000,000,000 x .01 / (1 + .08) = -4,629,629.63 D. What is the total cost of placing the hedge? Total = contracts x total cost 824 x $3,250 = $2,678,000 E. Diagram the payoff possibilities. F. How far must interest rates move before the payoff on the hedge will exactly offset the cost of placing the hedge? = (price/contract x 1 + R) / (delta x D x market value) = (3250 x 1.084) / (.625 x 10.1 x 96,157) = .0058 = .58% G. How far must interest rates move before the gain on the bond portfolio will exactly offset the cost of placing the hedge? = (price/contract x N x 1 + CR) / (-D x P) = (3250 x 824 x 1.08) / (5 x 100,000,000)
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