Pete's Real estate is currently valued at $$65,000.$ Pete feels the value of his business will increase at a rate of $10\%$ per year, compounded semiannually for the next $5$ years. At a local fund$-$raiser, a competitor offered Pete $$70,000$ for the business. If he sells, Pete plan to invest the money at $6\%$ compounded quarterly. What price should Pete ask? verify your answer.