Look at the cash flows for projects F and G given below.

Cash Flows$($$$)$

Project C$0$ C$1$ C$2$ C$3$ C$4$ C$5$ C$6$ C$7$ C$8$ IRR $(\%)$ NPV at $10\%$

F $(12,000)6,8006,8006,8000000032\mathrm{.}14,911$

G $(12,000)3,8003,8003,8003,8003,8003,8003,8003,80027\mathrm{.}08,273$

The cost of capital was assumed to be $10\%.$ Assume that the forecasted cash flows for projects of this type are overstated by $12\%$ on average. That is$,$ the forecast for each cash flow from each project should be reduced by $12\%.$ But a lazy financial manager, unwilling to take the time to argue with the projects$$ sponsors, instructs them to use a discount rate of $22\%.$

a$.$ What are the projects$$ true NPVs$?($Do not round intermediate calculations. Round your answers to nearest dollar amount.$)$

b$.$ What are the NPVs at the $22\%$ discount rate? $($Do not round intermediate calculations. Round your answers to nearest dollar amount.$)$