1. 1: Time Value of Money: Introduction A dollar in hand today is worth Select- va dollar to be received in the future because if you had it now you could invest that dollar and Select- interest. Of all the techniques used in finance, none is more important than the concept of time value of money (TVM), also called -Select- analysis. Time value analysis has many applications including retirement planning, stock and bond valuation, loan amortization and capital budgeting analysis. Time value of money uses the concept of compound interest rather than simple interest.
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- 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 into future values is called . This process requires knowledge of the values of three of four time-value-of-money variables. Which of the following is not one of these variables? The interest rate (I) that could be earned by deposited funds The trend between the present and future values of an investment The duration of the deposit (N) 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%, 9%, or 17%. Identify the interest rate that corresponds…3. 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 into future values is called four time-value-of-money variables. Which of the following is not one of these variables? The trend between the present and future values of an investment The duration of the deposit (N) The interest rate (t) that could be earned by deposited funds The present value (PV) of the amount deposited This process requires knowledge of the values of three of 4The present value represents the amount of money you would have to deposit today in order to match what you would get from the income stream at the future date. The formula is Time = M = i Future value represents the total amount of money you would have if you deposit the income stream until a future date. The formula is To start our problem we need to identify the variables. Rate =r= i Income Stream S(t) = i Present Value = years % M 1. 0 S (t) et dt. Future Value = Present Value* erM dollars/year
- Finding a present value is the reverse of finding a future value. Which of the following is true about finding the present value of cash flows? O Finding the present value of cash flows tells you what a cash flow will be worth in future years at a specified rate of return. O Finding the present value of cash flows tells you how much you need to invest today so that it grows to a given future amount at a specified rate of return. Which of the following investments that pay will $15,500 in 8 years will have a lower price today? O The security that earns an interest rate of 5.50%. O The security that earns an interest rate of 8.25%. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 6.80%. Assuming that both investments have equal risk and Eric's investment time horizon is flexible, which of the following investment options will exhibit the lower price? O An investment that matures in six…Time value of money calculations can be solved using a mathematical equation, a financial calculator, or a spreadsheet. Which of the following equations can be used to solve for the future value of an annuity due? PMT x {[(1 + r)ª − 1]/r} x (1 + r) O FV/(1 + r)¹ PMT x {[(1 + r)" - 1]/r} O PMT x ({1 - [1/(1 + r)"]}/r) x (1 + r)Match the terms to the description Time Value of Money (TVM) Discounting Present Value (PV) Future Value (FV) Cash Flow (CF) ✓ [Choose ] value of money at some later time funds in a secure investment will increase to an equivalent future amount the potential lost benefit when choosing one alternative over another transferring money into our out of an account calculating the present value of future cash flow stream value of money right now [Choose ] [Choose ] [Choose ]
- Please solve using time value of money table. Thank You! t 2 4 5 $ 100 -1000 400 300 -100 i 2% 2% 5% 5% 4% 4% a. Draw the corresponding Cash Flow Diagram. Note that the interest rate applies between the period i is assigned to and the next one. b. What is the present worth of this cash flow (i.e., at t = 0)Finance The time value of money refers to: a) Factors that show future value b) Factors that show past value c) Concept that a dollar received today is worth more than a dollar received in the future d) Concept that a dollar received today is worth less than a dollar received in the future explain in detailThe 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. A. The process for converting present values into future values is called . This process requires knowledge of the values of three of four time-value-of-money variables. Which of the following is not one of these variables? The inflation rate indicating the change in average prices The duration of the investment (N) The interest rate (I) that could be earned by invested funds The present value (PV) of the amount invested B. 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…
- 4. Present value Finding a present value is the reverse of finding a future value. A. is the process of calculating the present value of a cash flow or a series of cash flows to be received in the future. B. Which of the following investments that pay will $17,500 in 8 years will have a lower price today? The security that earns an interest rate of 4.00%. The security that earns an interest rate of 6.00%. C. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 5.40%. Assuming that both investments have equal risk and Eric’s investment time horizon is flexible, which of the following investment options will exhibit the lower price? An investment that matures in four years An investment that matures in five years D. Which of the following is true about present value calculations? Other things remaining equal, the…4. Present value Finding a present value is the reverse of finding a future value. A. is the process of calculating the present value of a cash flow or a series of cash flows to be received in the future. B. Which of the following investments that pay will $17,500 in 8 years will have a lower price today? The security that earns an interest rate of 4.00%. The security that earns an interest rate of 6.00%. C. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 5.40%. Assuming that both investments have equal risk and Eric’s investment time horizon is flexible, which of the following investment options will exhibit the lower price? An investment that matures in four years An investment that matures in five years D. Which of the following is true about present value calculations? Other things remaining equal, the…3. Present value Finding a present value is the reverse of finding a future value. Which of the following is true about finding the present value of cash flows? Finding the present value of cash flows tells you how much you need to invest today so that it grows to a given future amount at a specified rate of return. Finding the present value of cash flows tells you what a cash flow will be worth in future years at a specified rate of return. Which of the following investments that pay will $18,500 in 8 years will have a higher price today? The security that earns an interest rate of 8.50%. The security that earns an interest rate of 12.75%. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 13.80%. Assuming that both investments have equal risk and Eric’s investment time horizon is flexible, which of the following investment options will…