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Question - The Slice & Dice Investment Co. needs some help understanding the intricacies of bond pricing. It has observed the following prices for zero coupon bonds that have no risk of default:
Maturity
Price per $1 Face Value
1 year
$0.97
2 years
0.90
3 years
0.81
1. How much should Slice & Dice be willing to pay for a three-year bond that pays a 6-percent coupon, assuming annual coupon payments start one year from now?
2. What is the yield to maturity of the three-year coupon bond?
3. Suppose Slice & Dice purchases this coupon bond and then "un-bundles" it into its four component cash flows: three coupon payments and the par value amount. At what price(s) can Slice & Dice resell each of the first three cash flows (the coupon payments) today?
4. The remaining cash flow (the face value amount) is a "synthetic" three-year, zero coupon bond. How much must this "strip bond" be sold for if Slice & Dice is to break even on the investment?
5. What is the yield to maturity on the synthetic three-year, zero coupon bond?
6. Why are the answers for parts b and e different?
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