Answer:
The net present value of an investment to purchase a solar PV system that costs $10,000 and saves $2,000 per year for 20 years, and will increase the cost of reroofing by $5,000 in year ten, if your next best investment is 3% per year is about:
= $16,040.
Step-by-step explanation:
a) Data and Calculations:
Investment cost for the purchase of a solar PV system = $10,000
Cost of reroofing in year ten = $5,000
Annual savings = $2,000
Period of investment = 20 years
Discount rate = 3%
Present value of Costs:
Investment at year 1 = $10,000
Re-Roofing cost in year ten = 3,720 ($5,000 * 0.744)
Total PV of costs = $13,720
Present value annuity factor at 3% for 20 years = 14.88
Present value of savings = $29,760 ($2,000 * 14.88)
Net present of the investment = $16,040 ($29,760 - $13,720)