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On January 1, 2018, bonds with a face value of $78,000 were sold. The bonds mature on January 1, 2028. The face interest rate

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Answer #1

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Correct Option is: D. $51,176
Workings:
Cash flow Period Amount P.V Factor @6% Present Value
Maturity value 20 $       78,000                      0.312 $            24,336
Interest (annuity) 1 to 20 $          2,340                    11.470 $            26,840
Total proceeds $            51,176
Working notes:-
Interest is payable semiannually i.e twice a year
Semiannual coupon rate = Coupon rate / 2
= 6% / 2
= 3.00%
Number of semiannual periods = Number of years X 2
= 10 years X 2
= 20 years
Interest payment = $78000 X 3%
= $          2,340
Semiannual market interest rate = 12% / 2
= 6.0%
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