On June 30, 2016, the Big Three Company purchased equipment from Randall Corp. Big Three agreed to pay Randall $12,000 on the purchase date and the balance in five annual installments of $14,739 on each June 30 beginning June 30, 2017. Assuming that an interest rate of 8% properly reflects the time value of money in this situation, at what amount should Big Three value the equipment?
Present value of 5 annual installments = Annual installment x Present value ordinary annuity factor (r%, n)
= 14,739 x Present value ordinary annuity factor (8%, 5)
= 14,739 x 3.99271
= $58,848.55
Big Three should value the equipment = Cash payment on the purchase date + Present value of 5 annual installments
= 12,000 + 58,848.55
= $70,848.55
= $70,849 (if rounded to whole number)
Kindly comment if you need further assistance. Thanks
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