Calculating Bond Value - 3.5 Yr Holding, 8% Coupon

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SUMMARY

The bond purchased has a face value of $1000 and a coupon rate of 9.8%, compounded semi-annually, with a maturity of 10 years. After holding the bond for 3.5 years, the owner has collected 7 out of 20 semiannual coupon payments. To determine the bond's worth at the time of sale, the present value of the remaining 13 coupon payments of $49 each must be calculated using a discount rate of 4% (the market interest rate of 8% compounded semi-annually). The total present value at the time of sale includes the face value of the bond plus the present value of the remaining coupon payments.

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natashamarie
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You purchase a bond with a face value of $1000 and a coupon rate of 9.8% compounded semi-annually. The bond has a maturity of 10 years. How mush is the bond worth if you sell it after 3.5 years and the interest rate for similar bonds is 8% compounded semi-annually? Assume you clip the latest coupon before you sell it.
 
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natashamarie said:
You purchase a bond with a face value of $1000 and a coupon rate of 9.8% compounded semi-annually. The bond has a maturity of 10 years. How mush is the bond worth if you sell it after 3.5 years and the interest rate for similar bonds is 8% compounded semi-annually? Assume you clip the latest coupon before you sell it.
You've collected 7 of the 20 semiannual coupons, so 13 are left.

The coupon amount = 1000 * .098 / 2 = 49 dollars.

So Present Value (at sale time) = 1000 + present value of 13 payments
of 49 dollars using i = .08/2 = .04 (4%).

Look up the formula for present value of an ordinary annuity; OK?
 

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