Bond Premium, Entries for Bonds Payable Transactions
Rodgers Corporation produces and sells football equipment. On July 1, Year 1, Rodgers Corporation issued $83,900,000 of 10-year, 10% bonds at a market (effective) interest rate of 8%, receiving cash of $95,302,555. Interest on the bonds is payable semiannually on December 31 and June 30. The fiscal year of the company is the calendar year.
Compute the price of $95,302,555 received for the bonds by using Table 1, Table 2, Table 3 and Table 4. Round to the nearest dollar. Your total may vary slightly from the price given due to rounding differences.
Present value of the face amount | $ |
Present value of the semiannual interest payments | $ |
Price received for the bonds | $ |
Please fill in the blanks. Thanks!
Answer -
Face Value = $83,900,000
Semiannual Coupon = $4,195,000
Semiannual Period to Maturity = 20
Annual Market Rate of Interest = 8%
Semiannual Market Rate of Interest = 4%
Present Value of the Face Amount = $83,900,000 * PV of $1 (4%,
20)
Present Value of the Face Amount = $83,900,000 * 0.45639
Present Value of the Face Amount = $38,291,121
Present Value of the Semi-annual Interest Payments = $4,195,000
* PVA of $1 (4%, 20)
Present Value of the Semi-annual Interest Payments = $4,195,000 *
13.59033
Present Value of the Semi-annual Interest Payments =
$57,011,434
Present value of the face amount $38,291,121
Present value of the semi-annual
interest payments $57,011,434
Price received for the bonds $95,302,555
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