$4.$ Calculating Annuity Present Value $[$ LO$1]$ An investment offers $\backslash (\backslash$$ $4,270\backslash )$ per year for $15$ years, with the first payment occurring one year from now. If the required return is $6$ percent, what is the value of the investment? What would the value be if the payments occurred for $40$ years? For $75$ years? Forever? $5.$ Calculating Annuity Cash Flows $[$ LO$1]$ If you put up $\backslash (\backslash$$ $50,000\backslash )$ today in exchange for a $6\mathrm{.}4$ percent, $15-$year annuity, what will the annual cash flow be$?$