2. Future value The principal of the time value of money is probably the single most important concept in financial management. One of the most frequently encountered applications involves the calculation of a future value. The process for converting present values to future values is referred to as compounding Which of the following is not one of these variables? The interest rate (r) that could be earned by deposited funds The duration of the deposit (n) The trend between the present and future values of an investment The present value (PV) of the amount deposited All other things being equal, the numerical difference between a present and a future value corresponds to the amount of interest earned during the deposit or investment period. Each line on the following graph corresponds to an interest rate: 0%, 8%, or 17%. Identify the interest rate that corresponds with each line. All other things being equal, the numerical difference between a present and a future value corresponds to the amount of interest earned during the deposit or investment period. Each line on the following graph corresponds to an interest rate: 0%, 8%, or 17%. Identify the interest rate that corresponds with each line. 20000 15000 DOLLARS (PV) B 10000 5000 0 > 10 0 1 2 3 7 B 9 5 6 TIME (periods) Investments and loans base their interest calculations on one of two possible methods: the interest and the Interest methods. Both methods apply three variables-the amount of principal, the interest rate, and the investment or deposit period-to the amount deposited or invested in order to compute the amount of interest. However, the two methods differ in their relationship between the variables. Assume that the variables r, n, and PV represent the interest rate, investment or deposit period, and present value of the amount deposited or invested, respectively. Which equation best represents the calculation of a future value (FV) using simple interest? O FV = PV + (PV Xrx n) O FV = PV - (PV XrXn) OFV = PV xlxn OFV = PV 1xPX Which equation best represents the calculation of a future value (FV) using compound interest? O FV = PV X (1+1 O FV = PV + (PVXrXn) OFV- PY (1 + F FV- (1. $45,000.00 Identify whether the following statements about the simple and compound Interest methods are true or false. True False After the end of the second year and all other factors remaining equal, a future value based on compound interest will never exceed the future value based on simple interest. O The process of earning simple interest does not allow a depositor or investor to earn interest on any previously earned interest. All other factors being equal, when interest is paid annually, both the simple interest and the compound interest methods will accrue the same amount of earned interest by the end of the first year, O Eleanor is willing to invest $45,000.00 for seven years, and is an economically rational investor. She has identified three investment alternatives (L, M, and P) that vary in their method of calculating interest and in the annual interest rate offered. Since she can only make one investment during the seven-year investment period, complete the following table and indicate whether Eleanor should invest in each of the investments Note: When calculating each investment's future value, assume that all interest is compounded annually. The final value should be rounded to the nearest whole dollar. Investment Expected future value Make this investment? L Interest rate and Method 7% compound interest 6% simple interest 11% compound interest M P