Suppose a company had an initial investment of $$45,000.$ The cash flow for the next five years are $$13,000,$$$11,000,$$$15,000,$$$15,000,$ and $$1,000,$Growth Enterprises believes its latest project, which will cost $$170,000$ to install, will generate a perpetual growing stream of cash flows. The cash flow at the

end of the first year will be $$6,500,$ and cash flows in future years are expected to grow indefinitely at an annual rate of $3\%.$

If the discount rate for the project is $13\%,$ what is the project NPV$?$

$NPV=$

$($please round your final result to $2$ decimals if necessary$)$

What is the internal rate of return $($IRR$)$ for the project?

IRR$=$

$($Note: the above answer is in terms of percentage. Please round your final result to $2$ decimals if necessary$)$

respectively.

In which year will the company recover its initial investment?

$($Enter only whole numbers$)$

How much extra money beyond the initial investment will the company earn in that year?

What is the payback period?

$($Enter your answer rounded to $2$ DECIMAL PLACES$)$