Consider two bonds, Bond A and Bond B. Each bond is a 10-year bond with semiannual coupons redeemable at its par value of 10,000, and is bought to yield an annual nominal interest rate of i, convertible semiannually. Bond A has an annual coupon rate of (i – 0.02), convertible semiannually, and is bought at discount amounting to 1,500. Bond B has an annual coupon rate of (i + 0.03), convertible semiannually. Calculated the price of Bond B

Consider two bonds, Bond A and Bond B. Each bond is a 10-year bond with semiannual coupons redeemable at its par value of 10,000, and is bought to yield an annual nominal interest rate of i, convertible semiannually. Bond A has an annual coupon rate of (i – 0.02), convertible semiannually, and is bought at discount amounting to 1,500. Bond B has an annual coupon rate of (i + 0.03), convertible semiannually. Calculated the price of Bond B

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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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.)
Consider a 25-year bond with a face value of $1,000 that has a coupon rate of 5.8%, 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.)
For example, assume Sophia wants to earn a return of 7.00% and is offered the opportunity to purchase a $1,000 par value bond that pays a 7.00% coupon rate (distributed semiannually) with three years remaining to maturity. The following formula can be used to compute the bond’s intrinsic value: Intrinsic ValueIntrinsic Value = = A(1+C)1+A(1+C)2+A(1+C)3+A(1+C)4+A(1+C)5+A(1+C)6+B(1+C)6A1+C1+A1+C2+A1+C3+A1+C4+A1+C5+A1+C6+B1+C6 Complete the following table by identifying the appropriate corresponding variables used in the equation. Unknown Variable Name Variable Value A Bond’s semiannual coupon payment B Bond’s par value $1,000 C Semiannual required return Now, consider the situation in which Sophia wants to earn a return of 5.00%, but the bond being considered for purchase offers a coupon rate of 7.00%. Again, assume that the bond pays semiannual interest payments and has three years to maturity. If you round the bond’s…
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?
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?
You have decided to invest in Bond x, an n-year bond with semi-annual coupons and the following characteristics: Par value is 1000 The ratio of the semi - annual coupon rate to the desired semi- annual yield rate, is 1.03125. The present value of the redemption value is 381.5. Given v=0.5889, what is the price of bond x ? A) 1,055 B) 1,072 C ) 1,073 D) 1,069 E) 1,044
The value of a consol bond is given by the formula below:??=?/(1+?)+?/(1+?)2+?/(1+?)3+⋯Show that this formula can be simplified to:??=??Hence, calculate the value of a consol bond that pays K12,000 per year and was bought at a discount rate of 8%.
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 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %
Assume that you wish to purchase a 30-year bond that has a maturity value of P1,000 and a coupon interest rate of 9.5%, paid semiannually. If you require a 6.75% rate of return on this investment, what is the maximum price that you should be willing to pay for this bond? O P675 O P1,450 O P1.352 O P1,111
Suppose that a bond pays semiannual coupons in the sequence 25, 30, 25, 35, 25, 40, ..., 25, 85. If the redemption value is 2500 dollars and the yield rate is 8.6 percent convertible semiannually, what is the price of the bond? Answer= dollars.
Consider a two-year bond with a face value $1000 and a coupon rate 4.2%paid annually.(a) On the market, the 2-year interest rate is 3%. What is the fair marketprice for this bond?(b) When the interest rate increases to 5%, what would the bond pricebecome?(c) What if the interest rate falls to 1%?
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