Problem

- A coupon bond that pays interest semiannual has par value of $\$ 1000$ matures in 8 years, and has yield to maturity of $6 \%$. If the coupon rate is 7 what intrinsic value bond to day ?
- Answers $=1,062.81$

Answer

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Answer

\(\boxed{1,062.81}\)

Steps

Step 1 :Calculate the semiannual coupon rate: \(0.07 / 2 = 0.035\)

Step 2 :Calculate the semiannual yield to maturity: \(0.06 / 2 = 0.03\)

Step 3 :Calculate the number of periods: \(8 * 2 = 16\)

Step 4 :Calculate the coupon payment: \(1000 * 0.035 = 35\)

Step 5 :Calculate the present value of the bond: \(PV = 35 * (1 - (1 + 0.03)^{-16}) / 0.03 + 1000 * (1 + 0.03)^{-16}\)

Step 6 :\(PV = 1062.805510129981\)

Step 7 :\(\boxed{1,062.81}\)

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