Calculation of present value of desired amount at the end of given period
Present value of desired amount at the end of given period = Maturity amount X Present value of $ 1 at 4% at the end of 24 periods
Present value of desired amount at the end of given period = $ 19,400 X 0.3901
= $ 7,567.94 or $ 7,568 (rounded off)
Therefore the present value of desired amount at the end of given period is $ 7,568.
Note: Since the rate of interest is compounded quarterly, the effective rate of interest to be used in present value calculation is divided by 4 (i.e. 16%/4 = 4%) and the number of years is multiplied by 4 (i.e. 6 x 4 = 24 periods).