9-45 A car dealer leases a small computer with software for $5000 per year. As a
ID: 1094504 • Letter: 9
Question
9-45 A car dealer leases a small computer with software for $5000 per year. As an alternative be could buy the computer for $7000and lease the software for $3500 per year. Any time he would decide to switch to some other computer system he could cancel the software lease and sell the computer for $500.
a) If he buys the computer and leases the software what is the payback period?
b) If he kept the computer and software for 6 years, what would be the benefit-cost ratio based on an 8% interest rate?
Explanation / Answer
cost of total lease, T = 5000 * N, where N = no. of years
cost of software-only lease, S = (7000 - 500) + 3500 * N
Setting S=T and solving for N gives N = 6500/1500 = 4.3 years.
Since you can only lease 1 year at a time (I guess), then payback would be in 5 years.
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