In: Accounting
On January 1, 2023, Day Co. paid $92,278 for $100,000 face amount, five-year, 8% bonds, a price that yields 10%. Interest is payable every July 1 and January 1. Total Interest Revenue to be recorded over the life of the bond is:
Select one:
a. $32,278
b. $87,722
c. $47,722
d. $40,000
e. $7,722
Correct Answer:
Option: c : $ 47,772
Working:
| 
 Effective Interest Amortization Table  | 
||||
| 
 Formula Used  | 
 (650,000*5%) / 2  | 
 Last year's Carrying value of bond* Market Rate of Interest (4%)  | 
 Interest Expense - Cash Paid  | 
 Last year's Carrying value of Bond - current year's Premium amortized  | 
| 
 Changes during the bond  | 
||||
| 
 Date  | 
 cash paid  | 
 Interest Revenue  | 
 Discount Amortized  | 
 Carrying value of Bond  | 
| 
 1/1/2023  | 
 -  | 
 -  | 
 $ 92,278  | 
|
| 
 7/1/2023  | 
 $ 4,000  | 
 $ 4,613.9  | 
 $ 614  | 
 $ 92,892  | 
| 
 1/1/2024  | 
 $ 4,000  | 
 $ 4,644.6  | 
 $ 645  | 
 $ 93,536  | 
| 
 7/1/2024  | 
 $ 4,000  | 
 $ 4,677  | 
 $ 677  | 
 $ 94,213  | 
| 
 1/1/2025  | 
 $ 4,000  | 
 $ 4,711  | 
 $ 711  | 
 $ 94,924  | 
| 
 7/1/2025  | 
 $ 4,000  | 
 $ 4,746  | 
 $ 746  | 
 $ 95,670  | 
| 
 1/1/2026  | 
 $ 4,000  | 
 $ 4,784  | 
 $ 784  | 
 $ 96,454  | 
| 
 7/1/2026  | 
 $ 4,000  | 
 $ 4,823  | 
 $ 823  | 
 $ 97,276  | 
| 
 1/1/2027  | 
 $ 4,000  | 
 $ 4,864  | 
 $ 864  | 
 $ 98,140  | 
| 
 7/1/2027  | 
 $ 4,000  | 
 $ 4,907  | 
 $ 907  | 
 $ 99,047  | 
| 
 1/1/2028  | 
 $ 4,000  | 
 $ 4,952  | 
 $ 952  | 
 $ 100,000  | 
| 
 Total  | 
 $ 47,772  | 
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