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Mike’s Sporting Goods sells elliptical trainers under two payment plans: cash and installment. Under the installment...

Mike’s Sporting Goods sells elliptical trainers under two payment plans: cash and installment. Under the installment plan, the customer pays $90/month over 5 years with interest changed on the balance at a rate of 19%/year compounded monthly. Find the cash price for an elliptical trainer if it is equivalent to the price paid by a customer using the installment plan. Round your answers to two decimal places.

Solutions

Expert Solution

The cash equivalent price of the similar instalment payment can be caudated by the PV of the series annuity payment as follows

PV of annuity = PMT * ( 1-(1+r) ^-n / r )

We have monthly payments = 90

Time = 12 payment *5 years = 60 pmt s

Rate = 19% pa

So

Cash equival price = 90 * ( 1-(1+0.19/12) ^-60 / 0.19/12 )

So

Cash price = $ 3469.47

Thanks


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