Goldman Sachs Group has offered you an investment opportunity that will provide you with a $20-$year cash flow stream $($payment is made at the end of every year$).$ The cash flow stream is expected to grow by $7\%$ per year, with the first year's cash flow expected to be $61,200.$ How much would you be willing to pay for this investment if you require a $22\%$ rate of return? $($HINT: You want to find out the PV of a finite growing annuity.$)$