In: Accounting
Rauch Inc. leases a piece of equipment to Donahue Corp. on Jan 1 2017. The lease agreement called for annual rental payments of $4892 at the beginning of each year of the 4 year lease. The equipment has an economic useful life of 6years, a fair value of $25,000, a book value of $20,000, and both parties expect a residual value of $8,250 at the end of the lease term, though this amount is not guaranteed. Rauch set the lease payments with the intent of earning a 5% return, and Donahue is aware of this rate. There is no bargain purchase option, ownership of the lease does not transfer at the end of the lease term, and the asset is not of a specialized nature.
1. explain how Rauch arrived at the amount of the rental payments used in the lease agreement.
2. Prepare the entries for Rauch for 2017
3. Suppose the instead of $8,250, Rauch expects the residual value at the end of the lease to be $5,000, but Donahue agrees to guarantee a residual value of $8,250. All other facts being eqaul, how would Rauch change the amount of the annual rental payments, if at all?
4. Explain how a fully guaranteed residual value by Donahue would change the accoutning for Rauch, the lessor.
5. Explain how a bargain renewal option for one extra year at the end of the lease term would change the accounting of the lease for Rauch, the lessor.
1. Calculation of how Rauch arrived at the amount of the rental payments used in the lease agreement
Year | Particular | Amount | PV Factor @ 5% | Present Value |
0 | Fair Value of lease equiptment | -25000 | 1 | -25000 |
0 | Annual rental payment | 4892 | 1 | 4892 |
1 | Annual rental payment | 4892 | 0.9524 | 4659 |
2 | Annual rental payment | 4892 | 0.907 | 4437 |
3 | Annual rental payment | 4892 | 0.8638 | 4226 |
4 | Residual Value | 8250 | 0.8227 | 6787 |
NET PRESENT VALUE | 1 |
From above working it is seems that net present value is 1 or nill. Rauch workout the lease rent payment as above
2. Entries for Rauch for 2017
a. Increase valuation of equiptment to fair value
Equiptment a/c debit 25,000
To Equiptment a/c credit 20,000
To Revaluation reserve a/c credit 5,000
(Being the equiptment revalued up to its fair value)
b. Tranfer of equiptment on lease
Donahue Corp a/c debit 25,000
To Equiptment on lease a/c credit 25,000
(Being the equiptment tranfer on lease to party for 4 years)
c. Lease rental received
Bank a/c debit 4,892
To Lease rent received a/c credit 4,892
(Being lease rent received for 2017)
3. If the residual value of equiptment is 5,000 then Rauch should revised the annual lease rental up to 5,610
Year | Particular | Amount | PV Factor @ 5% | Present Value |
0 | Fair Value of lease equiptment | -25000 | 1 | -25000 |
0 | Annual rental payment | 5610 | 1 | 5610 |
1 | Annual rental payment | 5610 | 0.9524 | 5343 |
2 | Annual rental payment | 5610 | 0.907 | 5088 |
3 | Annual rental payment | 5610 | 0.8638 | 4846 |
4 | Residual Value | 5000 | 0.8227 | 4114 |
1 |