Determining and evaluating project cash flows for a home solar system You are keen on the use of solar power and have decided to evaluate investing in a solar system for your home. After consulting with several solar contractors; you have learned that the installed cost of solar systems is about $$2\mathrm{.}66$ per kilowatt hour $(kWh)$ of rated production and best practice is to install a solar system equal in capacity to your annual electric consumption. You consume $11,000kWh$ a year at a current cost of $$0\mathrm{.}11$ per $kWh$ and future costs per $kWh$ are expected to increase $1\mathrm{.}47\%$ per year. For the first year of operation, you will receive a tax rebate equal to $21\%$ of the installed cost of the solar system and your marginal tax rate is $22\%.$ Finally, because solar systems have an indefinite life expectancy, you expect to save the cost of electricity for perpetuity. Use the information you have gathered to determine the following:

a$.$ The initial cash flow.

b$.$ The periodic cash flow for the first ten years.

c$.$ Terminal cash flow for year ten using a discount rate of $4\%.$

d$.$ The net present value $($NPV$)$ of the project cash flows using a discount rate of $4\%.$

a$.$ The initial cash flow is $$-29260.($Round to the nearest cent. Type a negative number to indicate a cash outflow and a positive number to indicate cash inflow.$)$

b$.$ Compute the periodic cash flow for the first ten years.

The periodic cash flow in year $1$ is $

$($Round to the nearest cent. Type a negative number to indicate a cash outflow and a positive number to indicate cash inflow.$)$