Growth Enterprises believes its latest project, which will cost $$30,000$ to install, will generate a perpetual growing stream of cash flows. The cash flow at the end of the first year will be $$5,500,$ and cash flows in future years are expected to grow indefinitely at an annual rate of $2\%.$

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

NPV$=$

Number

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

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

IRR $=$

Number

$\%$

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