Question

ohnstone Company is facing several decisions regarding investing and financing activities. Address each decision independently. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1. On June 30, 2021, the Johnstone Company purchased equipment from Genovese Corp. Johnstone agreed to pay Genovese $10,000 on the purchase date and the balance in five annual installments of $8,000 on each June 30 beginning June 30, 2022. Assuming that an interest rate of 10% properly reflects the time value of money in this situation, at what amount should Johnstone value the equipment

Answer 1

Johnstone should value the equipment at $40,326.29.

Step-by-step explanation:

To determine this, the present value of the five annual installments of $8,000 is first calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value of the five annual installments =?

P = Annual payment = $8,000

r = interest rate = 10%, or 0.10

n = number of years = 5

Substitute the values into equation (1) to have:

PV = $8,000 * ((1 - (1 / (1 + 0.10))^5) / 0.10)

PV = $8,000 * 3.79078676940845

PV = $30,326.29

Therefore, the present value of the five annual installments of $8,000 is approximately $30,326.29.

As result of this:

Value the equipment = Payment on the purchase day + present value of the five annual installments = $10,000 + $30,326.29 = $40,326.29

Therefore, Johnstone should value the equipment at $40,326.29.