John purchased a treasury bond with exactly six years until maturity. The bond has a par value of $1,000, a 5% annual coupon rate (paid annually), and a current yield to maturity (YTM) of 6%. After exactly three years, John sold the bond to another investor, with the yield to maturity being 4%. He was always able to re-invest all his coupon income at a return of 6%. All rates are annual. What is his geometric ANNUALIZED average holding period return over the 3-year period? You must provide detailed calculations to receive credits.