Learning$\_$Objective $3$

Buckeye Healthcare Corp. is proposing to spend $$95,440$ on a nine$-$year project that has estimated net cash flows of $$20,000$ for each of the nine years.

Present Value of an Annuity of $$1$ at Compound Interest

Present value of annual net cash flows

$x$

Less amount to be invested

$x$

Net present value

$x$

b$.$ Based on the analysis prepared in part $($a$),$ is the rate of return $(1)$ more than $20\%,(2)20\%,$ or $(3)$ less than $20\%?$

Less than $20\%$

c$.$ Determine the internal rate of return by computing a present value factor for an annuity of $$1$ and using the table of the present value of an annuity of $$1$ presented above.

$x\%\backslash$table$[[$Year$,6\%,10\%,12\%,15\%,20\%],[1,0\mathrm{.}943,0\mathrm{.}909,0\mathrm{.}893,0\mathrm{.}870,0\mathrm{.}833],[2,1\mathrm{.}833,1\mathrm{.}736,1\mathrm{.}690,1\mathrm{.}626,1\mathrm{.}528],[3,2\mathrm{.}673,2\mathrm{.}487,2\mathrm{.}402,2\mathrm{.}283,2\mathrm{.}106],[4,3\mathrm{.}465,3\mathrm{.}170,3\mathrm{.}037,2\mathrm{.}855,2\mathrm{.}589],[5,4\mathrm{.}212,3\mathrm{.}791,3\mathrm{.}605,3\mathrm{.}352,2\mathrm{.}991],[6,4\mathrm{.}917,4\mathrm{.}355,4\mathrm{.}111,3\mathrm{.}784,3\mathrm{.}326],[7,5\mathrm{.}582,4\mathrm{.}868,4\mathrm{.}564,4\mathrm{.}160,3\mathrm{.}605],[8,6\mathrm{.}210,5\mathrm{.}335,4\mathrm{.}968,4\mathrm{.}487,3\mathrm{.}837],[9,6\mathrm{.}802,5\mathrm{.}759,5\mathrm{.}328,4\mathrm{.}772,4\mathrm{.}031],[10,7\mathrm{.}360,6\mathrm{.}145,5\mathrm{.}650,5\mathrm{.}019,4\mathrm{.}192]]$

Present value of annual net cash flows

Less amount to be invested

Net present value

b$.$ Based on the analysis prepared in part $($a$),$ is the rate of return $(1)$ more than $20\%,(2)20\%,$ or $(3)$ less than $20\%?$

c$.$ Determine the internal rate of return by computing a present value factor for an annuity of $$1$ and using the table of the present value of an annuity of $$1$ presented above.

$q,\%$