1. You are financial advisor for a friend who addresses the following issues: a) A company issues £10m face value of five-year zero-coupon bonds when the interest rate is 6%. What is the initial price of the bond? b) A coupon bond of £100 pays annual coupons of 5% at the end of years 1, 2 and 3 (when it also matures). If the discount rate is 8%, what is its price today? c) A coupon bond of £100 pays annual coupons of 5% at the end of years 1 and 2 (when it also matures). If it trades today at £93.01, what is its yield to maturity?

1. You are financial advisor for a friend who addresses the following issues: a) A company issues £10m face value of five-year zero-coupon bonds when the interest rate is 6%. What is the initial price of the bond? b) A coupon bond of £100 pays annual coupons of 5% at the end of years 1, 2 and 3 (when it also matures). If the discount rate is 8%, what is its price today? c) A coupon bond of £100 pays annual coupons of 5% at the end of years 1 and 2 (when it also matures). If it trades today at £93.01, what is its yield to maturity?

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 you want to construct a 2-year maturity forward loan commencing in 3 years. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $ 996.04 895.89 833.92 772.80 675.18 Required: a. Suppose that you buy today one 3-year maturity zero-coupon bond with face value $1,000. How many 5-year maturity zeros would you have to sell to make your initial cash flow equal to zero (specifically, what must be the total face value of those 5-year zeros)? b. What are the cash flows on this strategy in each year? c. What is the effective 2-year interest rate on the effective 3-year-ahead forward loan? d. & e. Confirm that the effective 2-year forward interest rate equals (1 + f4) ×(1 + f5)-1. You therefore can interpret the 2-year loan rate as a 2-year forward rate for the last two years. Alternatively, show that the effective 2-year forward rate equals (1 + y5) 15 + (1+y3) ³. - 1
YOUR BANK is thinking to issue a regular coupon bond (debenture) with the following particulars: Maturity = 3 years, Coupon rate = 9%, Face value = $1,500, Coupon payments are annual and paid at the end of a year. In the fixed-income securities market, the yield curve for the bond similar to the one issued by YOUR BANK is flat and it is 7.500% per annum continuously compounded. As per you, what should be the issue (offer) price per bond of YOUR BANK in US dollars?
2. You paid $5,000 to buy a Canadian Tire bond with a face value (maturity value) of $ 5,000 that matures in 30 years and has a coupon rate of 4% payable semi -annually. (a) Calculate t he semi -annual coupon payment. ANSWER: You sell the bond in 7 years, when the interest rate on similar bonds is j 2 = 5.4% . (b) How many coupons (payments) are left? ANSWER: (c) How much is your expected gain or loss on the sale of the bond? B/E P/Y C/Y N I/Y PV PMT FV
Suppose the investor sells his bonds before maturity and uses some of the proceeds to purchase a zero-coupon T-Bill with a $100 face value and 6-month maturity. What is the effective annual rate (EAR) if it was purchased for $95.52?
4. Suppose that the market rate of interest is 12 per cent on a government bond with a perpetuity payment, which is a coupon value (annual payment) of £6 per year indefinitely. The face value of the loan is £100. a) Define and calculate the price of the bond? Answers.. b) At what yield (or rate) will the loan be trading at par? Explain whether it is trading above or below par in a). Answers... c) Assume that the rate of interest is 'expected' to drop to 3 per cent, derive and calculate the rate of capital gain (or loss)? Answers . d) Derive and explain the expression for the number of bonds held representing the amount of money spent on bonds (B) with the corresponding mean rate of return (HR). Answers.. e) Imagine that W = £40,000, what is the amount spend on bonds, B', if the standard deviation (SD) of earnings (s) is equal to 0.10 with a 3,000,the SD of the total return on bonds, SR. What is the money holding, which is M*? Answers.. Find the mean return on bonds with u = 1. Answer..
a. Assuming you purchased the bond for $350 what rate of return would you earn if you held the bond for 25 years until it matured with a value $1000? a. Rate of return____% b. Suppose under the terms of thebond you could redeem the bond in 2024. DMF agreed to pay an annual interest rate of 1.4 percent until the date. How much would the bond be worth at that time? b. Bond value_____ c. In 2024 instead of cashing in the bond for its then current value you decide to hold the bond until it mature in 2043. What annual rate of return will you earn over the last 19 years? c. Rate of return___%

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