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On June 30, 2016, the Big Three Company purchased equipment from Randall Corp. Big Three agreed...

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?

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Answer #1

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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