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8.2Fill in the missing items in the following table, using the Law of One Price. Assume all these bonds have the same risk, the yield

8.2Fill in the missing items in the following table, using the Law of One Price. Assume all these bonds have the same risk, the yield curve is flat, and any coupon payments are paid annually.

Bond #

1

2

3

4

1-year strip bond

2-year strip bond

2-year

6% coupon bond

2-year

7% coupon bond

Time 0 cash flow (i.e., Purchase

Price for the bond)

950

?

?

?

Time 1 cash flow

+1000

0

+60

+70

Time 2 cash flow

0

+1000

+1060

+1070

Yield

?

?

5.50%

?

8.3 A. You are considering two investments from the bonds listed in question 8.2. Show that the cash flows from the following two investments would be identical.

i. 60 units of Bond #1 + 1060 units of Bond #2, and

ii. 1000 units of Bond #3.

B. How many units of Bond #1 and #2 would you need to replicate the cash flows of 1000 units of Bond #4?

C. i. If the yield of Bond #3 is 5.5%, what would it cost to buy 1000 units of Bond #3?

ii. What would it cost to buy 60 units of Bond #1?

iii. From part A. above, infer the value of 1060 units of Bond #2.

iv. What is the value of one unit of Bond #2? Yield of Bond #2?

D. What's the value of 1000 units of Bond #4? Yield?

E. What have you learned about the Law of One Price from questions 8.2 and 8.3?

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