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. – 3C 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.a. 5.1% р.a. 5.2% р.a. 5.3% р.a. 5.3% р,а. 5.4% p.a. 5.5% р.а. 5.5% p.a. 5.6% p.a. 5.7% p.a. 1 7 2 8 3 4 10 11 5.8% p.a. 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 the inverse floating rate coupon bond? Show all of your workings.

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. – 3C 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.a. 5.1% р.a. 5.2% р.a. 5.3% р.a. 5.3% р,а. 5.4% p.a. 5.5% р.а. 5.5% p.a. 5.6% p.a. 5.7% p.a. 1 7 2 8 3 4 10 11 5.8% p.a. 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 the inverse floating rate coupon bond? Show all of your workings.

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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Assume that the real risk free rate is 2% and the average expected inflation rate is 3% for each future year. The default risk premium and the liquidity premium for bond x are each 1% and the applicable Maturity Risk premium is 2% what is bond x’s interest rate. Round to 2 decimal places
Bond P is a premium bond with a 10 percent coupon. Bond D is a 6 percent coupon bond currently selling at a discount. Both bonds make annual payments, have a YTM of 8 percent, and have five years to maturity. (Assume par value of K1,000)(i) What is the current yield for Bond P and Bond D?(ii) If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D?(iii)Explain your answers and the interrelationship among the various types of yields.
A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
Consider information on the following bonds (with face value 100): Bond Maturity (years) Coupon rate Yield-to-maturity А 1 0% 5.0% В 2 5% 5.5% C 3 6% 6.0% Coupons are paid annually. What is the three-year spot interest rate?
assume that forward rates for the next 2 years are given by: r(0.5)=6%, r(1)=7%; r(1.5)=8% and r(2)=9%. In addition, the price of a 7% coupon bond maturing 2.5 years from now is equal to $101 and the price of a 6% coupon bond maturing 3 years from now is equal to $99 (c) Find the 2.5-year spot rate r (2.5). Keep at least 6 decimal digits while doing calculations and reporting the answer. d) Find the 3-year forward rate r(3). Keep at least 6 decimal digits while doing calculations and reporting the answer.
You have a bond with the following features: - Semi-annual coupon payments. - Coupon rate 7.60%. - Face value $1,000. - 3.5 years to maturity. - Current market price $1,130. Requirements (A, B, and C are independent): 1. Calculate the duration and modified duration for this bond. Duration ___ Mduration ___ 2. Now, let’s assume the modified duration of this bond is 3 years. If the yield increases by 30 bps (basis points), what will the new price of the bond using modified duration? 3. If the yield drops by 75 bps, what is the actual new price of the bond?
Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…
Suppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)
assume that forward rates for the next 2 years are given by: r(0.5)=6%, r(1)=7%; r(1.5)=8% and r(2)=9%. In addition, the price of a 7% coupon bond maturing 2.5 years from now is equal to $101 and the price of a 6% coupon bond maturing 3 years from now is equal to $99 a) Find the 2.5-year forward rate r(2.5). Keep at least 6 decimal digits while doing calculations and reporting the answer. b) Find the 3 year forward rate r(3). Keep at least 6 decimal digits while doing calculations and reporting the answer.
Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)
Suppose a 10-year, $1,000 bond with an 8.6% coupon rate and semi-annual coupons is trading for a price of $1,035.22. a. What is the bond's yield to maturity (expressed as an APR with semi-annual compounding)? b. If the bond's yield to maturity changes to 9.3% APR, what will the bond's price be? **** a. What is the bond's yield to maturity (expressed as an APR with semi-annual compounding)? The bond's yield to maturity is%. (Round to two decimal places.)
Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ (Round to the nearest cent.)

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