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Future value is the value of an asset at a specific date. [1] It measures the nominal future sum of money that a given sum of money is "worth" at a specified time in the future assuming a certain interest rate , or more generally, rate of return ; it is the present value multiplied by the accumulation function . [ 2 ]
The present value of $1,000, 100 years into the future. Curves represent constant discount rates of 2%, 3%, 5%, and 7%. The time value of money refers to the fact that there is normally a greater benefit to receiving a sum of money now rather than an identical sum later.
The future value of an annuity is the accumulated amount, including payments and interest, of a stream of payments made to an interest-bearing account. For an annuity-immediate, it is the value immediately after the n-th payment. The future value is given by: ¯ | = (+),
Future value is the value of a sum of money, given a certain rate of growth, at a specific future date. For example, the amount you’ll have in five years after investing $1,000 in a savings ...
Therefore, the future value of your annuity due with $1,000 annual payments at a 5 percent interest rate for five years would be about $5,801.91.
The reverse operation—evaluating the present value of a future amount of money—is called a discounting (how much will $100 received in 5 years—at a lottery for example—be worth today?). It follows that if one has to choose between receiving $100 today and $100 in one year, the rational decision is to choose the $100 today.
Thus the discounted present value (for one cash flow in one future period) is expressed as: = (+) where DPV is the discounted present value of the future cash flow (FV), or FV adjusted for the delay in receipt; FV is the nominal value of a cash flow amount in a future period (see Mid-year adjustment);
This method estimates the value of an asset based on its expected future cash flows, which are discounted to the present (i.e., the present value). This concept of discounting future money is commonly known as the time value of money. For instance, an asset that matures and pays $1 in one year is worth less than $1 today.