In: Accounting
Lincoln Company purchased merchandise from Grandville Corp. on September 30, 2016. Payment was made in the form of a noninterest-bearing note requiring Lincoln to make six annual payments of $7,200 on each September 30, beginning on September 30, 2019. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) |
Required: | ||||
Calculate the amount at which Lincoln should record the note payable and corresponding purchases on September 30, 2016, assuming that an interest rate of 11% properly reflects the time value of money in this situation.
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Notes payable will be recorded at present value of future value. | |||||||||
Step-1:Calculation of present value of six annual payments at September 30, 2018 | |||||||||
Year | Cash flow | Discount factor | Present Value | ||||||
a | b | c=1.11^-a | d=b*c | ||||||
1 | $ 7,200 | 0.9009 | $ 6,486.49 | ||||||
2 | 7,200 | 0.8116 | 5,843.68 | ||||||
3 | 7,200 | 0.7312 | 5,264.58 | ||||||
4 | 7,200 | 0.6587 | 4,742.86 | ||||||
5 | 7,200 | 0.5935 | 4,272.85 | ||||||
6 | 7,200 | 0.5346 | 3,849.41 | ||||||
Total | 30,459.87 | ||||||||
Step-2:Calculation of present value of above payment at September 30, 2016 | |||||||||
Present Value | = | Future Value x Discount factor | |||||||
= | 30,459.87 | x (1.11^-2) | |||||||
= | 24,721.92 | ||||||||
Thus, | |||||||||
Amount recorded | $ 24,721.92 | ||||||||