Question #54

Reading: Reading 27 Valuation and Analysis of Bonds With Embedded Options - Anwers

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Part of Context Group: Q54-57 First in Group
Shared Context
of 98 Bill Moxley, CFA is evaluating three bonds for inclusion in fixed income portfolio for one of his pension fund clients. All three bonds have a coupon rate of 3%, maturity of five years and are generally identical in every respect except that bond A is an option-free bond, bond B is callable in two years and bond C is putable in two years. The yield curve is currently flat. If the yield curve becomes upward sloping, the bond least likely to have the highest price impact would be: A) Bond B B) Bond A C) Bond C Explanation Bond C is putable and hence has limited downside potential when rates rise. The other two bonds do not have any such protection. (Module 27.3, LOS 27.e) Company Isla has a four-year, 6.5% bond that is callable under the following schedule: 102 in one year's time 101 in two years' time 100 in three years' time The binomial interest rate assuming a 10% rate volatility is shown in Exhibit 1. At each of the nodes: F = the value of the bond obtained by applying the backward induction process (i.e., the expected PV of future cash flows from the bond) C = the coupon received at the time of the node V = For the call price depending on whether or not the company is likely to call the bond Exhibit 1: Binomial Interest Rate Tree
Question
Which of the following represent the correct values that should be within the tree in the places marked by A and B?
Answer Choices:
A. A = 99.041 B = 100.000
B. A = 99.041 B = 100.315
C. A = 100.000 B = 100.000 Explanation A is 99.041 since the call price is higher at 100 and the issuer will choose the cheapest route. The missing value F = 106.5 รท 1.06166 = 100.315 and hence B is 100 since it is cheaper for the issuer to call. (Module 27.6, LOS 27.l)
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