In: Accounting
Ware Co. produces and sells motorcycle parts. On the first day of its fiscal year, Ware issued $32,000,000 of five-year, 13% bonds at a market (effective) interest rate of 10%, with interest payable semiannually. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the questions below.
Open spreadsheet
Compute the following:
The amount of cash proceeds from the sale of the bonds. Round your answer to the nearest dollar.
$
The amount of premium to be amortized for the first semiannual interest payment period, using the interest method. Round your answer to the nearest dollar.
$
The amount of premium to be amortized for the second semiannual interest payment period, using the interest method. Round your answer to the nearest dollar.
$
The amount of the bond interest expense for the first year. Round your answer to the nearest dollar.
Correct Answer:
Cash proceeds from bond = $ 35,706,433
Semi-Annually |
Formula Applied |
|
Face Value of Bond |
$ 32,000,000 |
|
Interest Semi-Annually @ 13%/2 |
$ 2,080,000 |
(Face Value of Bonds * Coupon rate ) |
Semi-Annual Effective interest Rate r = ( 10%/2) |
0.0500 |
10% |
Time Period (n) 5 years * 2 |
10.00 |
5 |
Present Value of Face Value of Bond |
$ 1,9,645,224 |
Face Value/(1+r%)^2n |
Present Value of Interest payment |
$ 1,6,061,209 |
Interest * ((1-(1+r)^-n)/r) |
Cash proceeds from the bond issue |
$ 3,5,706,433 |
PV of Face value of bond + PV of Interest Paid Annually |
Premium or (Discount) |
$ 3,706,433 |
Issue Price - Face Value of Bonds |
Requirement b:
The amount of premium to be amortized for the first semi-annual interest payment period: $ 2,94,678
Requirement c:
The amount of premium to be amortized for the Second semi-annual interest payment period: $ 3,09,412
Requirement d:
The amount of bond interest expense for the first year: $ 35,55,909
Working: for a, b, c:
Effective Interest Amortization Table |
||||
Formula Used |
(32,000,000*13%) / 2 |
Last year’s Carrying value of bond* Market Rate of Interest (10%) |
Interest Expense - Cash Paid |
Last year's Carrying value of Bond - current year's Premium amortized |
Changes during the bond |
||||
Date |
cash paid |
Interest Expense |
(Premium)/Discount Amortized |
Carrying value of Bond |
Year beginning |
- |
- |
$ 3,57,06,433 |
|
1st interest payment |
$ 20,80,000 |
$ 17,85,322 |
$ (2,94,678) |
$ 3,54,11,754 |
2nd Interest payment |
$ 20,80,000 |
$ 17,70,588 |
$ (3,09,412) |
$ 3,51,02,342 |
End of Answer.
Thanks