Compute Bond Proceeds, Amortizing Discount by Interest Method, and Interest Expense Boyd Co. produces and sells aviation equipment. On the first day of its fiscal year, Boyd Co. issued $60,000,000 of five-year, 10% bonds at a market (effective) interest rate of 12%, with interest payable semiannually. Compute the following: a. The amount of cash proceeds from the sale of the bonds. Use the tables of present values in Exhibit 5 and Exhibit 7. Round to the nearest dollar. $ b. The amount of discount to be amortized for the first semiannual interest payment period, using the interest method. Round to the nearest dollar. $ c. The amount of discount to be amortized for the second semiannual interest payment period, using the interest method. Round to the nearest dollar. $ d. The amount of the bond interest expense for the first year. Round to the nearest dollar.
Solution a:
Computation of bond price | |||
Table values are based on: | |||
n= | 10 | ||
i= | 6.00% | ||
Cash flow | Table Value | Amount | Present Value |
Par (Maturity) Value | 0.55839 | $60,000,000.00 | $33,503,400 |
Interest (Annuity) | 7.36009 | $3,000,000.00 | $22,080,270 |
Price of bonds | $55,583,670 |
Solution b&c:
Bond Amortization Schedule (Partial) | |||||
Semiannual period | Cash Paid | Interest Expense | Discount Amortized | Unamortized Discount | Carrying Value |
Issue date | $4,416,330 | $55,583,670 | |||
1 | $3,000,000 | $3,335,020 | $335,020 | $4,081,310 | $55,918,690 |
2 | $3,000,000 | $3,355,121 | $355,121 | $3,726,188 | $56,273,812 |
Amount of discount to be amortized for the first semiannual interest payment period = $335,020
Amount of discount to be amortized for the second semiannual interest payment period = $355,121
Solution d:
Bond interest expense for the first year = $3,335,020 + $3,355,121 = $6,690,141
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