Five years ago, the city of Baltimore sold at par a $1,000 bond with a coupon rate of 8 percent and 20 years to maturity. If this bond pays interest semiannually, what is the value of this bond to an investor who requires an 8 percent rate of return?

Five years ago, the city of Baltimore sold at par a $1,000 bond with a coupon rate of 8 percent and 20 years to maturity. If this bond pays interest semiannually, what is the value of this bond to an investor who requires an 8 percent rate of return?

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter6: Bonds (debt) - Characteristics And Valuation

Section: Chapter Questions

Problem 5PROB

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Question

Definition Definition Calculates the present value of a bond's expected future periodic coupon payments. Bond valuation determines the theoretical fair value of a particular bond and helps investors estimate what rate of return they could expect. The bond's theoretical fair value is computed by discounting the future cash flows or coupon payments by an applicable discount rate.

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The Altoona Company issued a 25-year bond 5 years ago with a face value of $1,000. The bond pays interest semiannually at a 10% annual rate. What is the bond's price today if the interest rate on comparable new issues is 12%? What is the price today if the interest rate is 8%? Explain the results of parts a and b in terms of opportunities available to investors. What is the price today if the interest rate is 10%? Comment on the answer to part d. My teacher gave me this solution: SOLUTION: PB = PMT [PVFAk,n] + FV [PVFk,n] n = 20 ´ 2 = 40 k = 12/2 = 6 PMT = $1,000 ´ .10/2 = $50 FV = $1,000 PB = $50 [PVFA6,40] + $1,000 [PVF6,40] = $50 (15.046 3) + $1,000 (.0972) = $849.52 Bartleby gave me this answer earlier tonight: particulars periods cash flows ($) PVF @ 6% Present Value ($) coupon payments ($1,000 X 5%) 1 to 50 50.00 15.469974 773.4987164 payment on redemption 50 1000 0.053283 53.283021178 Present…