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Knowledge Check 01 Kinsey Corporation issues $100,000 of 8% bonds, due in 25 years, when the market rate of interest is 9%. I
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Answer #1

A.$90,119.

value of bond = [present value of annuity factor * interest payment] + [present value factor * face value]

here,

present value of annuity factor (from present value of annuity table ) at 4.5% (i.e 9% market rate *6 months/12) for 50 periods.

(i,e 25 years * 2 =>50)

=>[1-(1+r)^(-n)]/r

=>[1 - (1.045)^(-50)]/0.045.

=>19.7620089.

interest payment =$100,000*8%*6/12

=>$4000.

present value factor = 1/(1.045)^50

=>0.11070965.

value of the bond = [19.7620089*4000]+[0.11070965*100,000]

=>$90,119.

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