Brief Exercise 21-11
Indigo Corporation manufactures replicators. On January 1, 2017, it leased to Althaus Company a replicator that had cost $111,400 to manufacture. The lease agreement covers the 5-year useful life of the replicator and requires 5 equal annual rentals of $41,900 payable each January 1, beginning January 1, 2017. An interest rate of 12% is implicit in the lease agreement. Collectibility of the rentals is reasonably assured, and there are no important uncertainties concerning costs.
Prepare Indigo’s January 1, 2017, journal entries. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Round present value factor calculations to 5 decimal places, e.g. 1.25124 and the final answer to 0 decimal places e.g. 58,971.)
Date | Account Titles and Explanation | Debit | Credit |
Jan. 1, 2017 | |||
Jan. 1, 2017 | |||
Jan. 1, 2017 | |||
Date | Account title | Debit | Credit |
Jan.1,2017 | Lease receivable | 167550 | |
Asset | 167550 | ||
(Leasing of the asset) | |||
Jan.1,2017 | Cash | 41500 | |
Lease receivable | 41500 | ||
(1st lease payment received) |
Working:
Date | Beg.Bal. | Interest | Cash | Lease Rental |
Income | Received | Accounted | ||
Jan.1,2017 | 167550 | 0 | 41500 | 41500 |
Jan.1,2018 | 126050 | 15126 | 41500 | 26374 |
Jan.1,2019 | 99676 | 11961 | 41500 | 29539 |
Jan.1,2020 | 70137 | 8416 | 41500 | 33084 |
Jan.1,2021 | 37054 | 4446 | 41500 | 37054 |
T o t a l | 39950 | 207500 | 167550 | |
Present value of 41,500 received annualy for five years | ||||
167,550 | ||||
This is arrived at usin the following formula. | ||||
PV = Ax (1-(1/(1+r)^n)/r) x (1+r) | ||||
Where A = 41,500, r=12% and n=5 |
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