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In: Finance

7 years ago, Delicious Mills, Inc. issued 30-year to maturity bonds that had a 8.10 percent...

7 years ago, Delicious Mills, Inc. issued 30-year to maturity bonds that had a 8.10 percent annual coupon rate, paid semiannually. The bonds had a $1,000 face value. Since then, interest rates in general have changed and the yield to maturity on the Delicious Mills bonds is now 10.92 percent. Given this information, what is the price today for a Delicious Mills bond?

Solutions

Expert Solution

Par/Face value 1000
Annual Coupon rate 0.081
Annual coupon 81
semi-annual coupon 40.5
Present Value = Future value/[(1+(r/m))^mt]
r is the interest rate that is 10.92%.
m is the compounding period that is 2
mt is the time period.
price of the bond = sum of present values of future cash flows
r/2 0.0546 r 0.1092
mt 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
future cash flow 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 1040.5
present value 38.40319 36.41493 34.52961 32.74191 31.04675 29.43936 27.91519 26.46994 25.0995 23.80002 22.56782 21.39941 20.2915 19.24094 18.24478 17.30019 16.4045 15.55519 14.74984 13.9862 13.26209 12.57547 306.3539
sum of present values 817.79
The price today for a Delicious Mills bond is $817.79.

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