The New Performance Studio is looking to put on a new opera. The firm figures that the set$-$up and publicity will cost $$400,000.$ The show will go on for $3$ years and bring in after$-$tax net cash flows of $$200,000$ in Year $1$; $$350,000$ in Year $2$; and $$50,000$ in Year $3.$ If the firm has a required rate of return of $8\%$ on its investments, what is the NPV of the new show $?.$

A$.$

$108,640$

B$.$

$116,683$

C$.$

$124,945$

D$.$

$133,434$