Suppose that an investor opens an account by investing $1,000. At the beginning of each of the next four years, he deposits an additional $1,000 each year, and he then liquidates the account at the end of the total five-year period. Suppose that the yearly returns in this account, beginning in year 1, are as follows: −9 percent, 17 percent, 9 percent, 14 percent, and −4 percent. Determine what the investor’s actual dollar-weighted average return was for this five-year period.   I know the calculation of Arithmetic returns is 5.40% and Geometric returns 4.90%.

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Present Value

Present value (PV) is defined as the current or present value of all future sums of cash flow or money at a specified rate of return. This rate of return is known as the discounted rate, which is essentially the interest rate, discounted over some time. The expected cash flows are discounted at a discount rate to compute the present value. The higher the discount rate, the higher the future value (FV), but the lower the present value.