Answer:
A should be chosen, because its equivalent annual cost is $252.15 lower than Alternative B's.
Explanation:
a) Data and Calculations:
Interest rate = 6% per year
Alternative A Alternative B
Initial Cost 2800 6580
Annual Benefit 450 940
Salvage Value 500 1375
Useful Life (yrs) 5 5
Annuity factor = 4.212 for 5 years at 6%.
Present value factor = 0.747 for 5 years at 6%.
Alternative A Alternative B
Present value of
annual benefits $1,895.40 $3,959.28
PV of salvage value 373.50 1,027.12
Total present value
of benefits $2,268.90 $4,986.40
Initial Cost 2,800 6,580
Net present value $531.10 $1,593.60
The equivalent annual cost
= NPV/PV annuity factor
($531.10/4.212) ($1,593.60/4.212)
Equivalent annual cost $126.09 $378.35
Difference:
Alternative B = $378.35
Alternative A = $126.09
Difference = $252.26
