In: Accounting
If a company, acquired a machine on December 31, 1982, in exchange for $4,000 in cash and a note payable. The company has to pay 8 annual payments of $15,000 with the first payment being made on December 31, 1983. Interest on the note is 9%.
How much interest expense will the company spend in 1984?
What is the carryingvalue of the loan in 1982 and what is the acquisition cost?
The machine has a useful life of 10 years, and a salvage value of $4,000. What's the carrying value after 4 years of useon December 31, 1986? What's the carrying value on December 31, 1992?
| Total amount paid for Note | 120000 | |||||
| Single payment | 15000 | |||||
| interest | 9 | |||||
| no. of payments | 8 | |||||
| Using PV of annuity formula | ||||||
| Principal amount | 83022 | |||||
| Year | Opening Principal amount | Installment | Interest | Principal repaid | Balance principal | |
| 1983 | 83022 | 15000 | 7472.01 | 7527.99 | 75494 | |
| 1984 | 75494 | 15000 | 6794.49 | 8205.51 | 67289 | |
| 1985 | 67289 | 15000 | 6055.99 | 8944.01 | 58345 | |
| 1986 | 58345 | 15000 | 5251.03 | 9748.97 | 48596 | |
| 1987 | 48596 | 15000 | 4373.62 | 10626.38 | 37969 | |
| 1988 | 37969 | 15000 | 3417.25 | 11582.75 | 26387 | |
| 1989 | 26387 | 15000 | 2374.80 | 12625.20 | 13761 | |
| 1990 | 13761 | 15000 | 1238.53 | 13761.47 | 0 | |
| 36977.71 | 83022.29 | |||||
| Carrying value of loan in 1982 | 83022 | Dollors | ||||
| Interest expense in 1984 | 6794.49 | Dollors | ||||
| Acquisition cost of asset | amount | |||||
| Cash paid | 4000 | |||||
| Principal amount of note | 83022 | |||||
| Total acquisition cost | 87022 | |||||
| Depreciation per year | =(87022-4000)/10 | |||||
| 8302 | ||||||
| Carrying value after 4 years | Amount | |||||
| Acquisiition cost | 87022 | |||||
| Accumulated dep for 4 years | 33208.8 | |||||
| Carrying value Dec 31, 1986 | 53813 | |||||
| On December 31 1992 its useful life is over so the asset is fully depreciated. Therefore its carrying value will be its residual value i.e. 4000. |