Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon ra is5% payable semi-annually. Find the fair price of this bond, ossuming that the annual market rate is 4%. Given: Coupon rate r= 5%, poyable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2|10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 cach, and PI00,000 at t- 10. Present Value of 100,000: 100000 1+j "1+0.04ë = 67,556.42 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1-(1+)" -1 = (1+ ) - 1 I = 0.0404 Direction: Answer the following just ike the given example above. 1. Suppose that a bond has a face value of P220, 000 and its maturity date is 6 years from now. The coupon rate is 5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 8%. 2. Suppose that a bond has a face value of P50, 000 and its maturity date is 5 years from now. The coupon rate is 4% payable quarteriy. Find the fair price of this bond, assuming that the annual market rate is 6%.

Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon ra is5% payable semi-annually. Find the fair price of this bond, ossuming that the annual market rate is 4%. Given: Coupon rate r= 5%, poyable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2|10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 cach, and PI00,000 at t- 10. Present Value of 100,000: 100000 1+j "1+0.04ë = 67,556.42 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1-(1+)" -1 = (1+ ) - 1 I = 0.0404 Direction: Answer the following just ike the given example above. 1. Suppose that a bond has a face value of P220, 000 and its maturity date is 6 years from now. The coupon rate is 5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 8%. 2. Suppose that a bond has a face value of P50, 000 and its maturity date is 5 years from now. The coupon rate is 4% payable quarteriy. Find the fair price of this bond, assuming that the annual market rate is 6%.

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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For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 12-year, 6.2% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.60%. If you hold the bond for 4 years and then sell it, what is your effective annual return on this investment? % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%) a. The YTM is
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…
Consider a bond (with par value = $1,000) paying a coupon rate of 10% per year semiannually when the market interest rate is only 4% per half-year. The bond has three years until maturity. Required: a. Find the bond's price today and six months from now after the next coupon is paid. b. What is the total (6-month) rate of return on the bond? Complete this question by entering your answers in the tabs below. Required A Required B Find the bond's price today and six months from now after the next coupon is paid. Note: Round your answers to 2 decimal places. Current price Price after six months $ $ 1,052.42 1,044.52
Duration and price sensitivity a) Calculate the duration and modified duration of a bond with a face of $1,000, a 6% coupon rate, and a 5% YTM with 1 payment per year and a maturity of 10 years, using the Excel DURATION and MDURATION formulas. b) Calculate the following: 1. What are the approximate percentage and dollar changes in price for a 1% change in interest rates using the duration approximation formula? 2. What are the actual percentage and dollar changes in price if interest rates increase by 1%?
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.
What is the current value of a 30-year bond making semi-annual coupon payments that has a face value of $1,000 and a coupon rate of 8%, if the YTM is 4%, how much does the bond currently sell for? Does the bond sell at a discount, premium, or at face value? Reference the below formulas when solving the problem above: PV = FV / (1+r)^t FV = PV(1+r)^t FVA = PMT(((1+r)^t) -1) / r FVA = PMT((1+(r/12)^t(12))-1)/(r/12) PVA = PMT(((1-(1+r)^-t) / r)) PVA = PMT((1-(1+(r/12))^-t(12)))/(r/12) Bo = PMT ((1-(1+r/2)^-t(2))) / r/2 + FV / (1+r/2)^t(2)
Consider a 4-years bond with a 8% annual coupon rate and semi-annual payments. Let us suppose that the zero coupon curve rate today with annual compounding is given by the one in Table 1.(a) Calculate the discount factors for all the previous maturities and then the bond price.(b) Calculate the equivalent continuous compounding rates. What do you expect as result for the bond price with these rates? Should it be lower, higher or equal to the one in part (a)? Why? The equivalent continuous compounding rates should be lower than the annual rates. Why?
In calculating the current price of a bond paying semiannual coupons, one needs to O use double the number of years for the number of payments made. O use the semiannual coupon. O use the semiannual rate as the discount rate. O All of the above needs to be done.
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 you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 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. 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.) %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) O A. 8- 7- 6-…
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?

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