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A Treasury coupon bond that pays interest semi-annually has a par value of $1,000, a maturity of 2 years, and a coupon rate of 5.2%.

A Treasury coupon bond that pays interest semi-annually has a par value of $1,000, a maturity of 2 years, and a coupon rate of 5.2%. Use the following spot rates to compute the arbitrage-free value of this coupon bond.

Year

Period

Spot Rate

Cash Flow

Discount Factor

PV of Cash Flow

t/2

t

Zt

CFt

dt=(1+Zt/2)-t

CFt*dt

0.5

3.05%

1.0

3.38%

1.5

3.90%

2.0

4.17%

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