\fTo determine the number of compounding periods, n, use the rearranged future value formula for compound interest, shown below where F'Vis the original principal, FVis the future value, and i is the periodic interest I his] \"2 ln{1+i} The periodic rate, i, is the annual interest rate divided by the number of compounding periods per year. If the interest is compounded quarterly, it is compounded 4 times per year. Calculate i. The periodic rate, i, is the annual interest rate divided by the numberof compounding periods per year. If the interest is corn pounded quarterty, it is compounded 4 times per year. lCalculate i. _ 1 .E': 4 [1.4% Convert the quarterly interest rate from a percent to a decimal. 0.4% = Dl \fI 432? n = " 15m Substitute. In[1+_r1]t 1.131505 . _ = e I . 110113992 "W 'W = 25031 Divide. Thus, the investment had approximately ZED.\" compounding periods. \f\f