# Payback Time , Levelized Cost Of Energy And Internal Rate Of Return

Payback Time , Levelized Cost Of Energy And Internal Rate Of Return

1. A homeowner paid \$4000 for a solar water heater and received a tax credit of 30%. The system saves \$450 per year. Find a simple payback time. Assuming a discount rate of 5%, find the payback time based on the Present Worth analysis.
2. A solar power company plans to build a 50 MWe solar power plant with the following information. Find the LCOE and IRR for this investment.
Location: Daggett, California (Lat. 34° 51.8′)
Capital costs, including site prep and construction = \$125 M (30%
equity, 70% debt at 5%)
Repairs and maintenance = \$150,000/year (plant shutdown 10 days/ year for maintenance and repairs)
Yearly electrical output = 300 MWhe/day
Tariff received = \$0.15/kWhe for the first year, with 5%/year escala- tion after that
Life of system = 25 years
3. Calculate the IRR(internal rate of return) if the power company gets a fixed feed-in tariff of \$0.25/kWhe for 20 years and the salvage value of the plant after 20 years is \$20 M.

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