The $10-$year life cycle cash flow is presented in the figure below for an energy efficiency project. Assume no operation & maintenance cost $)=(0,$ no inflation and escalation, and a fixed annual income $(A)$ as an investment return.

Using the above figure, find the following:

The initial cost or capital expenditure $($Capex$)-500$

The annual income of the project $($A$)100$

The net present value of the project $($NPV$)904\mathrm{.}72$

The simple Payback period $($SPP$)3$ year

The payback period $(PP)2\mathrm{.}5$ years

Benefit$-$to$-$cost ratio $($BCR$)\frac{(90472+-500)}{-500}=0\mathrm{.}809(4),\frac{2004*72}{1100}=-1\mathrm{.}822$

The discount rate $(d)$ used in this analysis. Show the details of obtaining the value. $,-313\mathrm{.}08$dots$(1100)=786\mathrm{.}92$

If the discount rate is changed to a higher value, what will be the effect on the Net present value of the project $($NPV$)$ and the simple Payback period.

annual in come project $($A$)$

$-500+(100+x)=-300$

$x=100$