Answer:
Leasing or Buying a Truck:
The equivalent annual cost of buying and maintaining the truck (if the discount rate is 12%) is:
= $50,328
Explanation:
a) Data and Calculations:
Interest rate = 6% per year
Lease Purchase
Initial Cost $99,000
Annual Cost $49,000 $29,000
Salvage Value $39,000
Useful Life (years) 5 5
Annuity factor = 3.605 for 5 years at 12%.
Present value factor = 0.567 for 5 years at 12%.
Lease Purchase
Present value of costs:
Initial cost $99,000 (1 * $99,000)
Annuity costs $176,645 104,545 (3.605 * $29,000)
PV of salvage value (22,113) (0.567 * $39,000)
NPV cost $176,645 $181,432
The equivalent annual cost:
= Total NPV cost/PV annuity factor
($176,645/3.605) ($181,432/3.605)
Equivalent annual cost $49,000 $50,328
Difference:
Purchase = $50,328
Lease = $49,000
Difference = $1,328
