Starboard Industries enters into a lease agreement with Bumble Motors to lease an automobile with a fair value of $71,000 under a 5−year lease on December 20, 2018. The lease commences on January 1, 2019, and Starboard will return the automobile to Bumble on December 31, 2023. The automobile has an estimated useful life of 7 years. Starboard made a lease payment of $10,600 on December 20, 2018. In addition, the lease agreement stipulates annual payments of $10,600, due on January 1 of 2019, 2020, 2021, 2022, and 2023. The implicit rate of the lease is 8% and is known by Starboard. Starboard guarantees a residual value of 4,500 and incurs initial direct costs of $1,200. How do you find the discounting factor for each year???
Year | Rental R | Discount factor 4% D | Calculation | Present value | |
Dec 20 2018 | 10600 | 1 | 10600 | ||
Jan 1 2019 | 10600 | 0.92593 | 1/1.08 | 9815 | |
Jan 1 2020 | 10600 | 0.85734 | .92593/1.08 | 9088 | |
Jan 1 2021 | 10600 | 0.79383 | .85734/1.08 | 8415 | |
Jan 1 2022 | 10600 | 0.73503 | .79383/1.08 | 7791 | |
Jan 1 2023 | 10600 | 0.68058 | .73503/1.08 | 7214 | |
Total | 52923 | ||||
For Dec 20 2018 discount factor is taken as 1 as the payment in made at inception of lease | |||||
I hope this will clear your doubt. | |||||
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