A land surveyor just starting in private practice needs a van to carry crew and
ID: 1100413 • Letter: A
Question
A land surveyor just starting in private practice needs a van to carry crew and
equipment. He can lease a used van for $3,000 per year, paid at the
beginning of each year, in which case maintenance is provided. Alternatively,
he can buy a used van for $7,000 and pay for maintenance himself. He
expects to keep the van three years at which time he could sell it for $1,500.
What is the most he should pay for uniform annual maintenance to make it
worthwhile buying the van instead of leasing it, if his pre-tax MARR is 20%?
4
Answer in dollars, without dollar sign or other symbols
Explanation / Answer
Lease:
EAC = 3,000(F/P, 20%, 1) = 3,000(1.20) = 3,600
Buy:
EAC
= 7,000(A/P, 20%, 3) + M - 1,500(A/F, 20%, 3)
M
= 3,600 - 2,910.85
= 689.15
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