Waterway Company sells 10% bonds having a maturity value of
$2,200,000 for $2,118,688. The bonds are dated January 1, 2017, and
mature January 1, 2022. Interest is payable annually on January
1.
Determine the effective-interest rate. (Round answer to 0 decimal
places, e.g. 18%.)
The effective-interest rate
10
%
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Set up a schedule of interest expense and discount amortization
under the effective-interest method. (Round intermediate
calculations to 6 decimal places, e.g. 1.251247 and final answer to
0 decimal places, e.g. 38,548.)
Schedule of Discount Amortization
Effective-Interest Method
Year
Cash
Paid
Interest
Expense
Discount
Amortized
Carrying
Amount of Bonds
Jan. 1, 2017 $
$
$
$
Jan. 1, 2018
Jan. 1, 2019
Jan. 1, 2020
Jan. 1, 2021
Jan. 1, 2022
where i=11% | |||||||
t =5 years | |||||||
principal | |||||||
2,200,000 | *59345 | 1305590 | |||||
interest | |||||||
220,000 | *3.69590 | 813098 | |||||
2118688 | |||||||
thus effective interest rate = | 11% | answer | |||||
year | cash | interest | Discount | Carrying | |||
paid | expense | amortized | value | ||||
10% | 11% | ||||||
1/1/2017 | 2118688 | ||||||
1/1/2018 | 220000 | 233056 | 13056 | 2131744 | |||
1/1/2019 | 220000 | 234492 | 14492 | 2146235 | |||
1/1/2020 | 220000 | 236086 | 16086 | 2162321 | |||
1/1/2021 | 220000 | 237855 | 17855 | 2180177 | |||
1/1/2022 | 220000 | 239823 | 19823 | 2200000 | |||
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