Question

Your broker offers to sell for $1,250 a AAA-rated bond with a coupon rate of 8...

Your broker offers to sell for $1,250 a AAA-rated bond with a coupon rate of 8 percent and a maturity of ten years. Given that the interest rate on comparable debt is 5 percent, calculate the bond's price. Assume that the bond pays interest annually. Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ Is your broker fairly pricing the bond? , so the bond be purchased.

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Answer #1

Fair Price of a bond is PV of CFs from it.

Year CF PVF @5% Disc CF
1 $      80.00     0.9524 $   76.19
2 $      80.00     0.9070 $   72.56
3 $      80.00     0.8638 $   69.11
4 $      80.00     0.8227 $   65.82
5 $      80.00     0.7835 $   62.68
6 $      80.00     0.7462 $   59.70
7 $      80.00     0.7107 $   56.85
8 $      80.00     0.6768 $   54.15
9 $      80.00     0.6446 $   51.57
10 $      80.00     0.6139 $   49.11
10 $ 1,000.00     0.6139 $ 613.91
Fair Price of Bond 1231.652

Fair Price of Bond is $ 1231.65 and it is available in Market @ $1250. Hence Bond is Over Priced( Not fairly priced).

Not advicable to Buy.

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