a. Calculate the leverage-adjusted duration gap of an FI that has assets of $2.3 million invested in 30-year, 9 percent semiannual coupon Treasury bonds selling at par and whose duration has been estimated at 10.07 years. It has liabilities of $1,030,000 financed through a two-year, 6.00 percent semiannual coupon note selling at par with a duration of 1.9143. b. What is the impact on equity values if all interest rates fall 10 basis points-that is, AR/(1+R/2) = -0.0010?

a. Calculate the leverage-adjusted duration gap of an FI that has assets of $2.3 million invested in 30-year, 9 percent semiannual coupon Treasury bonds selling at par and whose duration has been estimated at 10.07 years. It has liabilities of $1,030,000 financed through a two-year, 6.00 percent semiannual coupon note selling at par with a duration of 1.9143. b. What is the impact on equity values if all interest rates fall 10 basis points-that is, AR/(1+R/2) = -0.0010?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose that yield rates on zero coupon bonds are currently 26 for a one-year maturity, 3% for a two-year maturity and 4.% for a three-year maturity (all effective annual rates). Suppose that someone is willing to borrow money from you starting one year from now to be repaid three years from now at an effective annual interest rate of 6.5146438635186%. Construct a transaction in which an arbitrage gain can be obtained. What is your positive net gain for net investment of 0? (net cashflow at t-3) 01345 One possible correct answer is: 0.030250290387703
A firm's bonds have a maturity of 10 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 5 years at $1,054.36, and currently sell at a price of $1,104.71. What are their nominal yield to maturity and their nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % What return should investors expect to earn on these bonds? Investors would expect the bonds to be called and to earn the YTC because the YTC is less than the YTM. Investors would expect the bonds to be called and to earn the YTC because the YTC is greater than the YTM. Investors would not expect the bonds to be called and to earn the YTM because the YTM is greater than the YTC. Investors would not expect the bonds to be called and to earn the YTM because the YTM is less than the YTC.
A firm's bonds have a maturity of 14 years with a $1,000 face value, have an 11% semiannual coupon, are callable in 7 years at $1,240.39, and currently sell at a price of $1,413.75. What are their nominal yield to maturity and their nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % What return should investors expect to earn on these bonds? Investors would expect the bonds to be called and to earn the YTC because the YTC is greater than the YTM. Investors would not expect the bonds to be called and to earn the YTM because the YTM is greater than the YTC. Investors would not expect the bonds to be called and to earn the YTM because the YTM is less than the YTC. Investors would expect the bonds to be called and to earn the YTC because the YTC is less than the YTM.
Consider these long-term investment data: • The price of a 10-year $100 par value zero coupon inflation-indexed bond is $88.36. • A real-estate property is expected to yield 2% per quarter (nominal) with a SD of the (effective) quarterly rate of 10%. Compute the annual rate on the real (i.e., inflation-indexed) bond. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Real bond annual rate %
Suppose you are considering two possible investment opportunities: a 12-yearTreasury bond and a 7-year, A-rated corporate bond. The current real risk-free rateis 4%, and inflation is expected to be 2% for the next 2 years, 3% for the following4 years, and 4% thereafter. The maturity risk premium is estimated by this formula:MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimatedto be 0.3%. You may determine the default risk premium (DRP), given thecompany’s bond rating, from the table below. Remember to subtract the bond’s LPfrom the corporate spread given in the table to arrive at the bond’s DRP. Whatyield would you predict for each of these two investments?RateCorporate Bond Yield
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?
A firm's bonds have a maturity of 12 years with a $1,000 face value, have an 11% semiannual coupon, are callable in 6 years at $1,205.31, and currently sell at a price of $1,359.00. What are their nominal yield to maturity and their nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places. YTM: % YTC: % What return should investors expect to earn on: Investors would expect the bonds to be called and to earn the YTC because the YTC is less than the YTM. Investors would expect the bonds to be called and to earn the YTC because the YTC is greater than the YTM. Investors would not expect the bonds to be called and to earn the YTM because the YTM is greater than the YTC. Investors would not expect the bonds to be called and to earn the YTM because the YTM is less than the YTC
D4) Suppose that there is 30-year coupon bond with par value of $100 and Macaulay duration of 20.56. The coupon rate is unknown. Currently, the bond is traded at $90 and the yield is flat at 20% pa. Yield to maturity is an annualized simple interest rate compounded annually. If the bond yield increases by 50 basis points, what is the approximation of the percentage capital gain or loss? Please choose the correct range for the percentage capital gain/loss, i.e., if it is -3.5%, please select “A value between -3% and -4%” A value between -9% and -10% A value between -8% and -9% None of the other answers are correct. A value between -7% and -8% A value between -10% and -11%
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 Next
D3) Finance The spread between the yield on a five-year bond issued by a company and the yield on a similar risk-free bond is 80 basis points. Assuming a recovery rate of 40%, estimate the average hazard rate per year over the five-year period. If the spread is 70 basis points for a three-year bond, what do your results indicate about the average hazard rate in years 4 and 5?
Calculate the bond equivalent yield and effective annual return on a negotiable CD that is 115 days from maturity and has a quoted nominal yield of 6.54 percent. (Use 365 days in a year. Do not round intermediate calculations. Round your percentage answers to 3 decimal places. (e.g., 32.161)) Bond equivalent yield Effective annual return % %
Consider an inverse floating rate coupon bond with 1 year remaining to maturity. On maturity, bondholders are expected to receive $100 face value. Coupons are paid quarterly and the current 3-mth LIBOR observed rate is 5.234% p.a. The annual coupon rate is specified as: Annual coupon rate = 20% p.a. – 30 where Cis the annual 3-mth LIBOR rate. Assume, for simplicity, that the annual 3-mth LIBOR rate will never exceed 6.67% p.a. (so that the annual coupon rate defined above is always a positive number). The following table shows the current LIBOR continuously compounded rate with different maturities: Maturity LIBOR Maturity LIBOR 5.0% р.а. 5.1% р.а. 5.2% р.а. 5.3% p.a. 5.3% p,a. 5.4% p.a. 5.5% p.a. 5.5% р.a. 5.6% p.a. 5.7% р.a. 5.8% p.a. 1 7 2 8 3 4 10 11 6 12 5.9% p.a For example, the 1-mth LIBOR is 5.0% p.a. compounded continuously. You can treat the LIBOR rates presented in table above as the discount rates/spot rates with different maturities. Required: What is the current price of…

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