Calculate the amount that must be invested at the end of each year at 9.3% compounded annually in order to accumulate $530,000 after: (Do not round intermediate calculations and round your final answers to 2 decimal places.) a. 25 years. $ b. 30 years. $   In each case, also determine what portion of the $530,000 represents earnings on the annual investments. (Round your intermediate calculations and final answers to 2 decimal places.) a. Earnings portion $ b. Earnings portion $

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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.