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Taylor leases an asset from Moonlight Company. Data:

- Three-year, noncancellable lease. Asset life is five years.
- Payments of $16,731 each January 1. ($50,193 total)
- Asset FV and BV at lease commencement: $60,000
- Unguaranteed salvage value: $15,000
- Lessor implicit rate 6%, known by lessee.
- No transfer of title or purchase option.
- Commencement 1/1/20
- Lease qualifies as an operating lease
Taylor's Right of Use asset at 12/31/20 will be approximately
Select one:
a. $34,243
b. $31,604
c. $32,515
d. $30,675
e. $28,835

User Johnco
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1 Answer

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Final answer:

Taylor's right-of-use (ROU) asset at 12/31/20 will be approximately $32,515 (option c) after calculating the present value of the remaining lease payments using the lessor's implicit interest rate of 6%.

Step-by-step explanation:

To calculate Taylor's right-of-use (ROU) asset at 12/31/20 after leasing an asset from Moonlight Company, we need to consider the three annual payments of $16,731 made at the beginning of each year, with a lessor's implicit interest rate of 6%.

Since the lease qualifies as an operating lease, we must determine the present value (PV) of the lease payments to find the initial value of the ROU asset. Considering that payments are made at the beginning of each period, it makes it an annuity due situation.

The calculation for the present value of an annuity due is:

PV = Pmt × ((1 - (1 + r)^(-n)) / r) × (1 + r)

Where Pmt is the annual payment, r is the interest rate per period, and n is the total number of periods.

After the first payment on 1/1/20, there would be two payments remaining. Thus, the PV at the end of 2020 would reflect the discounted value of the two remaining payments:

PV = $16,731 × ((1 - (1 + 0.06)^(-2)) / 0.06) × (1 + 0.06).

By performing this calculation, we find:

PV = $16,731 × (1.8334) × 1.06

PV = $32,514.97 ≈ $32,515.

Therefore, Taylor's Right of Use asset at 12/31/20 will be approximately $32,515. Thus, the correct option is c. $32,515.

User Dfortun
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