26. Suppose that a long-term coupon bond with a coupon rate of 5% is purchased today at its face value of $1,000 and resold a year later for a price of $950. The holding period return for the bond is equal to: a. 0% b. 2% c. 3% d. 5% 27. A decrease in the market interest rate will cause the value of a bank's portfolio of fixed-payment loans to: a. rise b. fall c. remain unchanged d. rise or fall, depending on the maturity of the bonds 28. A risk-free consol provides an annual payment of $50. If the market interest rate is 5%, the price of the consol will be: a. $55 b. $500 c. $1,000 d. $1,050

26. Suppose that a long-term coupon bond with a coupon rate of 5% is purchased today at its face value of $1,000 and resold a year later for a price of $950. The holding period return for the bond is equal to: a. 0% b. 2% c. 3% d. 5% 27. A decrease in the market interest rate will cause the value of a bank's portfolio of fixed-payment loans to: a. rise b. fall c. remain unchanged d. rise or fall, depending on the maturity of the bonds 28. A risk-free consol provides an annual payment of $50. If the market interest rate is 5%, the price of the consol will be: a. $55 b. $500 c. $1,000 d. $1,050

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 1 2.30 6 3.50 2.70 7. 3.80 3. 2.90 8 4.00 4 3.10 9 4.20 3.20 10 4.30 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. b. Calculate the price of a 4-year Treasury bond with face value $1,000 that pays coupon annually at the coupon rate of 4%. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment?
If the interest rates on 1-, 5-, 20-, and 30-year bonds are (respectively)4%, 5%, 6%, and 7%, then how would you describe the yield curve?How would you describe it if the rates were reversed?
9. Read the following sentences and answer the questions. Company A plans to carry out $1 million in 1.5 years. Since this company is exposed to changes in the won-dollar exchange rate, it is trying to calculate the risk by applying the variance covariance method. The dollar-free coupons traded in the market have only one- year maturity and two-year maturity, and the yield of each bond is 5% and 6%. The annual volatility of the two bonds was 0.5% and 0.7%, respectively, and the correlation was estimated to be 0.80. 1) When 1 million dollars are mapped to two bond periods, find the present value of each 2) If a normal distribution is assumed under the 95% confidence level, find the non-variance VaRturncliversified Va) of the above position. 3) If a normal distribution is assumed under the 95% confidence level, find the diversified VaR (VaR) of the above position.
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34.The real risk-free rate of interest is 3%, and it is expected to be constant over time. Expected inflation is expected to be 3% in Year 1, 4% in Year 2, and 5% in Year 3. Maturity risk premium is 0. What is the interest rate on Treasury securities with three year maturity? (Format: X.XX%)
The prices of zero-coupon bonds with various maturities are given: maturity in years price 1 975.66 2 885.89 3 821.92 4 759.20 5 670.20 A) How could you construct a 1-year forward loan beginning in year 3? face value = ? rate of synthetic loan = ? B) How could you construct a 1-year forward loan beginning in year 4? face value = ? rate of synthetic loan = ?
Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21.2%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule? O [A] 21.2% O [B] 25.4% O [C] 17.0% O [D] 10.6%
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Which of the following statements is the most accurate? 43. a. Long-term cash flows are riskier than short-term cash flows.Furthermore, a 20-year bond that is callable after 5 years would have a shorter projected duration, if not none at all, than a noncallable 20-year bond with equal maturity. As a result, if all other features are equal, investors can demand a lower rate of return on the callable bond than on the noncallable bond. b. A noncallable 20-year bond would have an average life that is equivalent to or better than a callable 20-year bond with otherwise similar characteristics. Furthermore, the longer a bond's lifespan, the higher the interest rate danger it poses to buyers. As a result, while all other factors remain stable, callable bonds subject borrowers to fewer interest rate risk than noncallable bonds. c. Both a and b are right statements. d. None of the above claims are true.
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Now suppose a financial institution has a duration gap of -4 years and $5 million in assets. The cheapest to deliver bond for Treasury futures contracts has a duration of 3 years. How will the manager hedge this interest rate risk? Assume the cheapest to deliver bond is trading at par.
Assume that all interest rates in the economy decline from 8 percent to 7 percent. Which of the following bonds will have the smallest percentage increase in price? A A 10-year zero coupon bond. B An 8-year bond with a 9 percent coupon. E A 3-year bond with a 10 percent coupon. D A 10-year bond with a 10 per coupon. A 1-year bond with a 15 percent coupon.