In: Accounting
Boyd Co. produces and sells aviation equipment. On the first day of its fiscal year, Boyd Co. issued $70,000,000 of three-year, 11% bonds at a market (effective) interest rate of 13%, 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= | 6 | ||
i= | 6.50% | ||
Cash flow | Table Value | Amount | Present Value |
Par (Maturity) Value | 0.68533 | $70,000,000.00 | $47,973,100 |
Interest (Annuity) | 4.84101 | $3,850,000.00 | $18,637,889 |
Price of bonds | $66,610,989 |
Solution b & c:
Bond Amortization Schedule - Effective interest method | |||||
Semiannual period | Cash Paid | Interest Expense | Discount Amortized | Unamortized Discount | Carrying Value |
Issue Date | $3,389,011 | $66,610,989 | |||
1 | $3,850,000 | $4,329,714 | $479,714 | $2,909,297 | $67,090,703 |
2 | $3,850,000 | $4,360,896 | $510,896 | $2,398,401 | $67,601,599 |
The amount of discount to be amortized for the first semiannual interest payment period = $479,714
The amount of discount to be amortized for the second semiannual interest payment period = $510,896
Solution d:
bond interest expense for the first year = $4,329,714 + $4,360,896 = $8,690,610