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A bank holds a 10-year $2 million face
current price = $950,000. Interest rates are expected to increase from 9% to 11%
over next 3 months. Demonstrate how the bank can use a forward contract to hedge
the interest rate risk.
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- A commercial bank invests in a loan with a current market value of $600,000 and a maturity of 3 years. The bank partially funds the loan by issuing a zero coupon bond with a maturity (principal) value of $450,000 and a duration of 3 years. The current market rate is 7% and interest rates are expected to increase by 1%. Which of the following statements is true? (a) The current equity value of the position is $150,000 and if interest rates increase the equity value will increase. (b) The current equity value of the position is $232,666 and if interest rates increase the equity value will increase. (c) The current equity value of the position is $232,666 and if interest rates increase the equity value will decrease. (d) The current equity value of the position is $150,000 and if interest rates increase the equity value will remain the same. (e) None of the given answers. The current equity value of the position is $232,666 and if interest rates increase the equity value will remain the…A bank has assets of $500,000,000 and equity of $40,000,000. The assets have an average duration of 5.5 years, and the liabilities have an average duration of 2.5 years. An 8-year fixed-rate T-bond with the same coupon as the fixed-rate on the swap has a duration of 6 years, and the duration of a floating-rate bond that reprices annually is one year. The bank wishes to hedge its balance sheet with swap contracts that have notional contracts of $100,000. What is the optimal number of swap contracts into which the bank should enter? 2,500 contracts. 2,760 contracts. 13,800 contracts. 3,200 contracts. None of the above.Consider buying a $1,000-denomination corporate bond at the market price of $996.25. The interest will be paid semiannually at an interest rate per payment period of 4.8125%. Twenty interest payments over 10 years are required. We show the resulting cash flow to the investor as shown. Find the return on this bond investment (or yield to maturity).
- Suppose you purchase a T-bills that is 125 days from maturity for $9,765. The T-bills has a face value of $10,000.a. Calculate the T-bills’s quoted discount rate. b. Calculate the T-bills’s annualized rate.c. Who are the major issuers of and investors in money market securities?A 10-year government bond has face value of OR 200 and a coupon rate of 6% paid semiannually. Assume that the interest rate is equal to 8% per year. What is the bond’s price? What is the reason for the difference in price on an annual and semiannually basis? Discuss the role of financial managers.A credit default swap requires a semi annual payment at the rate of 200 basis points per year. The principal is $1 billion and the credit default swap is settled in cash. A default occurs after four years and two months, and the calculation agent estimates that the price of the cheapest deliverable bond is 60% of its face value shortly after the default. List the cash flows and their timing for the seller of the credit default swap..
- ABC requires P10,000,000 cash at the start of next year for ten years. The following were offered by several banks for a bond issuance. Based on the information below and using the YTM formula, what would be the cost of the ideal bond option? Face Est. Net Nominal Bank Term Amount Proceeds Rate A P10,500,000 5 years, nonrenewable P 10,500,000 5% В 9,500,000 5 years, renewable 9,500,000 8% 10,000,000 10 years 10,200,000 10% D 10,000,000 10 years 10,500,000 11%A Bank offers both loans and deposits at a nominal interest rate of 4% that is continuously compounded. What is the effective rate offered by the bank? The bank also offers a 3-year bond with face value £10000, redeemable at par, with 10% annual coupons. What is the final payment of that bond? Assuming there are no arbitrage opportunities, what is the price of the above bond? Give your answer to five valid digits.What is a “balanced portfolio” ? What kind of account allows people to invest small amounts of money into a large, professionally managed, balanced portfolio? Jack Abrams borrowed $8,000 for nine months at an interest rate of 7% (simple interest). The bank also charges a $100 processing fee. What is the actual interest rate for this loan? On September 30, 2019, Stinky Bank issued 10-year bonds at an annual simple interest rate of 4.25%, with interest paid twice a year. Pepe le Pew purchases a $10,000 bond. How much interest will Pepe earn every six months? How much interest will he earn over the 10-year life of the bond? Charlie Brown, a 25-year-old professional, invests $200 a month in the XYZ Capital Opportunity Fund, which has a 10-year average return of 8.75%. Charlie wants to estimate what he will have for retirement when he Is 60 years old if the rate stays constant. Assume monthly compounding. If Charlie makes no further deposits and makes no withdrawals after…
- A Bank offers both loans and deposits at a nominal interest rate of 4% that is continuously compounded A) What is the effective rate offered by the bank? B) The bank also offers a 3-year bond with face value £10000, redeemable at par, with 10% annual coupons. What is the final payment of that bond? C) Assuming there are no arbitrage opportunities, what is the price of the above bond?A mortgage bond issued by Automation Engineering is for sale for $8200. The bond has a face value of $10,000 with a coupon rate of 8% every six months, payable annually. What rate of return will be realized if the purchaser holds the bond to maturity 5 years from now?A company must make a payment of $2500 in 5 years. Four-year zero coupon bonds and seven-year zero coupon bonds are available for investment. These bonds could be purchased in any quantity and the yield rate is 3% effective. Let A and B be the face values of the 4-year and 7-year zero-coupon bonds, respectively, that are purchased to satisfy full immunization against any changes in interest rates. Find A. Possible Answers A 1262 1431 C 1618 D 1725 E 1962