Athens Corporation has the opportunity to invest $$10,000$ in a subsidiary business venture that will generate a one$-$time $$20,000$ cash payment in $3$ years.

Using the net present value method and assuming the market interest rate is $15\%,$ should Athens invest in this venture?

A$.)$

No$,$ Athens should not invest in the business venture. The net present value of the $$20,000$ cash payment is $$6,179\mathrm{.}56$ which is less than $$10,000$ the investment they would make.

B$.)$

Yes, Athens should invest in the business venture. The net present value of the $$20,000$ cash payment is $$13,150\mathrm{.}32$ which is greater than $$10,000$ the investment they would make.

C$.)$

Yes, Athens should invest in the business venture. The net present value of the $$20,000$ cash payment is $$20,000$ which is greater than $$10,000$ the investment they would make.

D$.)$

No$,$ Athens should not invest in the business venture. The net present value of the $$20,000$ cash payment is $$7,849\mathrm{.}68$ which is less than $$10,000$ the investment they would make.