Question

A construction manager just starting in private practice needs a van to carry crew and equipment. She can lease a used van for $3,510 per year, paid at the beginning of each year, in which case maintenance is provied. Alternatively, she can buy a used van for $5,185 and pay for maintenance herself. She expects to keep the van for three years at which time she could sell it for $1,330. What is the most she should pay for uniform annual maintenance to make it worthwhile to buy the van instead of leasing it, if her MARR is 20%

Answer 1

Answer:

$2,116

Explanation:

The computation is shown below:

Option 1 - Leasing

= 3510 + ( 3510 ÷ 1.2 ) + ( 3510 ÷ 1.2 ^ 2 )

= 8872.5

Now

Option 2 - Buying

Given that

Initial Cost - 5185

PV of salvage value = 1330 ÷ 1.2 ^ 3

= 769.68

So,  

Cost = 5185 - 769.68

= 4457.176

Now the payment should be

= 4457.176 × 0.47473 (PV annuity factory for 20% at 3 years)

= $2,115.955

= $2,116