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Irene Cooper Week 6 Assignment Chapter 10 -Problems 2, 7, and 18 (pages 351–352) 2. Suppose you purchase a Treasury bond futures contract at a price of 95 percent of the face value, $100,000. (LG 10-3) a. What is your obligation when you purchase this futures contract? When you purchase a Treasury bond futures contract at a price of 95 percent of the face value ($100,000), your obligation is to buy the underlying Treasury bond at the agreed-upon price and date in the future. In this case, you have the obligation to buy a Treasury bond with a face value of $100,000. b. Assume that the Treasury bond futures price falls to 94 percent. What is your loss or gain? Loss or Gain = (Initial Futures Price - Current Futures Price) x Face Value Loss or Gain = (95% - 94%) x $100,000 = 1% x $100,000 = $1,000 You would incur a loss of $1,000. c. Assume that the Treasury bond futures price rises to 97. What is your loss or gain? Loss or Gain = (Current Futures Price - Initial Futures Price) x Face Value Loss or Gain = (97% - 95%) x $100,000 = 2% x $100,000 = $2,000 7. You have taken a long position in a call option on IBM common stock. The option has an exercise price of $176 and page 352IBM’s stock currently trades at $180. The option premium is $5 per contract. (LG 10-4) a. How much of the option premium is due to intrinsic value versus time value? Intrinsic Value = Current Market Price - Exercise Price Intrinsic Value= $180−$176=$4 Time Value = Option Premium - Intrinsic Value Time Value = $5−$4=$1 Therefore, $1 of the option premium is due to intrinsic value versus time value . b. What is your net profit on the option if IBM’s stock price increases to $190 at expiration of the option and you exercise the option? Net Profit = New Price - Exercise Price - Option Premium Net Profit = $190−$176−$5=$9 $9 is the net profit on the option if IBM stock price increases to $190 at expiration of the option and you exercise the option. c. What is your net profit if IBM’s stock price decreases to $170?   Net loss = premium = -5
18. A commercial bank has $200 million of floating-rate loans yielding the T-bill rate plus 2 percent. These loans are financed with $200 million of fixed-rate deposits costing 9 percent. A savings bank has $200 million of mortgages with a fixed rate of 13 percent. They are financed with $200 million in CDs with a variable rate of T-bill rate plus 3 percent. (LG 10-7) a. Discuss the type of interest rate risk each institution faces. The commercial bank is exposed to a decrease in rates that would lower interest income, while the savings bank is exposed to an increase in rates that would increase interest expense. In either case, profit performance would suffer. b. Propose a swap that would result in each institution having the same type of asset and liability cash flows. Interest Rate Swap Arrangement, The commercial bank and the savings association can enter into a swap agreement where they exchange interest payments. Commercial Bank: It would benefit from receiving a fixed interest rate to match its fixed-rate liabilities. Savings Association: It would benefit from receiving a floating interest rate to match its variable- rate liabilities. Irene HOLDING GRADE Please review to ensure that you are responding to the correct questions. Responses needed for Chapter 7 (Problem 2), Chapter 9 (Problem 5 & 6) and Chapter 10 (Problem 2, 7, & 18). Please resubmit immediately. Chapter 7 2. You plan to purchase a $175,000 house using a 15-year mortgage obtained from your local bank. The mortgage rate offered to you is 7.75 percent. You will make a down payment of 20 percent of the purchase price. (LG 7-4) a. Calculate your monthly payments on this mortgage. a. $1,309.33 b. Calculate the amount of interest and, separately, principal paid in the 60th payment. a. $713.07, interest b. $604.72, principal c. Calculate the amount of interest and, separately, principal paid in the 180th payment. a. $8.46, interest b. $1,309.33, principal d. Calculate the amount of interest paid over the life of this mortgage. a. $97,201.49 Chapter 9
5. Bankone issued $200 million worth of one-year CD liabilities in Brazilian reals at a rate of 6.50 percent. The exchange rate of U.S. dollars for Brazilian reals at the time of the transaction was $0.305/Br 1. (LG 9-5) a. Is Bankone exposed to an appreciation or depreciation of the U.S. dollar relative to the Brazilian real? a. Bank one is not exposed to an appreciation or depreciation of the U.S. dollar relative to the Brazilian real because they issued CD liabilities in Brazilian reals, which means their liability is in Brazilian reals, and the exchange rate does not affect this liability. b. What will be the percentage cost to Bankone on this CD if the dollar depreciates relative to the Brazilian real such that the exchange rate of U.S. dollars for Brazilian reals is $0.325/Br 1 at the end of the year? a. 27.8% c. What will be the percentage cost to Bankone on this CD if the dollar appreciates relative to the Brazilian real such that the exchange rate of U.S. dollars for Brazilian reals is $0.285/Br 1 at the end of the year? a. -4.15% 6. Sun Bank USA has purchased a 16 million one-year Australian dollar loan that pays 12 percent interest annually. The spot rate of U.S. dollars for Australian dollars (AUD/USD) is $0.757/A$1. It has funded this loan by accepting a British pound (BP)–denominated deposit for the equivalent amount and maturity at an annual rate of 10 percent. The current spot rate of U.S. dollars for British pounds (GBP/USD) is $1.320/£1. (LG 9-5) a. What is the net interest income earned in dollars on this one-year transaction if the spot rate of U.S. dollars for Australian dollars and U.S. dollars for BPs at the end of the year are $0.715/A$1 and $1.520/£1, respectively? a. Net Interest Income = $-21,915.15 b. What should the spot rate of U.S. dollars for BPs be at the end of the year in order for the bank to earn a net interest income of $200,000 (disregarding any change in principal values)? a. Spot rate 1.27
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