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Crank
4 years ago
10

On October 1, 2018, Justine Company purchased equipment from Napa Inc. in exchange for a noninterest-bearing note payable in fiv

e equal annual payments of $500,000, beginning Oct 1, 2019. Similar borrowings have carried an 11% interest rate. The equipment would be recorded at:
Business
1 answer:
Darya [45]4 years ago
6 0

Answer:

$1,551,222.84

Explanation:

We should assume the interest are implicity charged in the note payments.

In order to record the equipment at their fair value at the momnet of purchase, we will discount the note using 11% discount rate

The note will be an annuity for $500,000 during 4 year at rate 11%

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

C 500000

time     4

rate             0.11

500000 \times \frac{1-(1+0.11)^{-4} }{0.11} = PV\\

PV

This is the value of the equipment at present value, without the interest charged on the note.

Under this value it should be recorded.

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Explanation:

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Spectra Scientific of Santa Clara, California, manufactures Q-switched solid-state industrial lasers for LED substrate scribing
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The <u>amount of the unrecovered balance</u> immediately before Spectra Scientific of Santa Clara, California made the first payment at the end of year 1 is $49,680,000.00.

<h3>What is future value?</h3>

The unrecovered amount is the future value of the loan at the end of year 1 after the first year's interest has been added, and before subtracting the first payment.

The future value can be computed using the Future Value Formula below or an online finance calculator as follows:

<h3>Future Value Formula:</h3>

FV = PV(1+r)^{n}

FV = future value

PV = present value

r = annual interest rate

{n} = number of periods interest held

<h3>Data and Calculations:</h3>

N (# of periods) = 6 years

I/Y (Interest per year) = 8%

PV (Present Value) = $46,000,000

PMT (Periodic Payment) = $0

<u>Results:</u>

FV = $49,680,000.00

<u>Annual Schedule of Payment and Balance:</u>

Period       PV                   PMT             Interest                    FV

1 $46,000,000.00 $0.00 $3,680,000.00 $49,680,000.00

Thus, the <u>amount of the unrecovered balance</u> immediately before Spectra Scientific of Santa Clara, California made the first payment at the end of year 1 is $49,680,000.00.

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