Windsor Leasing Company signs an agreement on January 1, 2020, to lease equipment to Cole Company. The following information relates to this agreement.
1. | The term of the non-cancelable lease is 6 years with no renewal option. The equipment has an estimated economic life of 6 years. | ||||
2. | The cost of the asset to the lessor is $451,000. The fair value of the asset at January 1, 2020, is $451,000. | ||||
3. | The asset will revert to the lessor at the end of the lease term, at which time the asset is expected to have a residual value of $24,225, none of which is guaranteed. | ||||
4. | The agreement requires equal annual rental payments, beginning on January 1, 2020. | ||||
5. |
Collectibility of the lease payments by Windsor is probable. Assuming the lessor desires a 6% rate of return on its
investment, calculate the amount of the annual rental payment
required. (For calculation purposes, use 5 decimal
places as displayed in the factor table provided and the final
answer to 0 decimal places e.g. 5,275.)
|
Answer | ||
Residual value |
$ 24,225 | |
PV of single sum (i=6%, n=6) | 0.70496054 | 1/1.06^6 |
PV of residual value | $ 17,078 | |
Fair market value of leased equipment | $ 451,000 | |
Present value of residual value | -$ 17,078 | |
Amount to be recovered through lease payment | $ 433,922 | |
PV factor of annuity due | 5.212363 | |
Annual payment required | $ 83,249 | 433922/5.212363 |
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