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

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.$)$