consider a stream of $8$ cash flows of $$100$ each beginning exactly $4$ years from today, followed by another stream of cash flows $($starting exactly $5$ years after the first stream ends$)$ growing at $5\%$ annually and with the first cash flow in this second stream being $$200.$ What is the combined value of these two cash flows today? $($Assume the appropriate discount rate, for both discounting and compounding, is $8\%$ and that the second stream continues for a total of $10$ years.$)$