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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.

Respuesta :

TomShelby

Answer:

We take this as the correct option:

$18,274,866

Explanation:

Present Value of the Lease Payments:

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

C 3,060,451

time 10

rate 0.07

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

PV $23,000,000.0511

Now, we build the lease schedule up to the first two payment:

[tex]\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][/tex]

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