The Riteway Ad Agency provides cars for its sales staff. In the past, the company has always purchased its cars from a dealer and then sold the cars after three years of use. The company’s present fleet of cars is three years old and will be sold very shortly. To provide a replacement fleet, the company is considering two alternatives: what is the net present value of the cash flows assocaited with the purchase alternatives

NPV = -$149,319.44

Explanation:

Ten cars will be needed, which can be purchased at a discounted price of $18,000 each. If this alternative is accepted, the following costs will be incurred on the fleet as a whole:

the required rate of return or discount rate for Riteway is 20%.

Cash flows:

CF₀ = -$180,000

CF₁ = -($5,100 +$3,000) = -$8,100

CF₂ = -($5,100 + $5,500) = -$10,600

CF₃ = ($9,000 X 10) - ($5,100 + $7,500) = $90,000 - $12,600 = $77,400

using an excel spreadsheet, we can calculate the NPV with r = 20%

NPV = -$180,000 + $30,680.56 = -$149,319.44

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%

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