Suppose you invest $$$$3500$ today and receive $$$$9500$ in $15$ years.

a$.$ What is the internal rate of return$($IRR$)$ of this$$ opportunity?

b$.$ Suppose another investment opportunity also requires $$$$3500$upfront$,$ but pays an equal amount at the end of each year for the next $15$ years. If this investment has the same IRR as the first$$ one, what is the amount you will receive each$$ year?