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SpyIntel [72]
4 years ago
8

Technoid Inc. sells computer systems. Technoid leases computers to Lone Star Company on January 1, 2021. The manufacturing cost

of the computers was $19 million. This noncancelable lease had the following terms: Lease payments: $3,060,451 semiannually; first payment at January 1, 2021; remaining payments at June 30 and December 31 each year through June 30, 2025. Lease term: 5 years (10 semiannual payments). No residual value; no purchase option. Economic life of equipment: 5 years. Implicit interest rate and lessee's incremental borrowing rate: 7% semiannually. Fair value of the computers at January 1, 2021: $23 million. What is the outstanding balance of the lease liability in Lone Star's June 30, 2021, balance sheet? (Round your answer to the nearest whole dollar.) Multiple Choice $18,274,866. $18,074,875. $23,000,000. None of these answer choices is correct.
Business
1 answer:
svlad2 [7]4 years ago
4 0

Answer:

We take this as the correct option:

$18,274,866

Explanation:

<u>Present Value of the Lease Payments:</u>

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 3,060,451

time 10

rate 0.07

3060451 \times \frac{1-(1+0.07)^{-10} }{0.07} = PV\\

PV $23,000,000.0511

Now, we build the <u>lease schedule</u> up to the first two payment:

\left[\begin{array}{cccccc}$Time&$Beg&$Cuota&$Interest&$Amort&$Ending&1&23,000,000&3,060,451&0&3060451&19,939,549&2&19,939,549&3,060,451&1,395,768&1664683&18,274,866\end{array}\right]

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This investment scheme been  considered is known as sinking funds.

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