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In economics exponential discounting is a specific form of the discount function, used in the analysis of choice over time (with or without uncertainty ). Formally, exponential discounting occurs when total utility is given by. where ct is consumption at time t, is the exponential discount factor, and u is the instantaneous utility function .
Probability theory. In probability theory, the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first moment) is a generalization of the weighted average. Informally, the expected value is the arithmetic mean of the possible values a random variable can take ...
Time value of money. 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 is the widely accepted conjecture that there is greater benefit to receiving a sum of money now rather than an identical sum later. It may be seen as an implication of the later ...
Present value. In economics and finance, present value ( PV ), also known as present discounted value, is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest -earning potential, a characteristic referred to as the time value of money ...
The net present value ( NPV) or net present worth ( NPW) [ 1] is a way of measuring the value of an asset that has cashflow by adding up the present value of all the future cash flows that asset will generate. The present value of a cash flow depends on the interval of time between now and the cash flow because of the Time value of money (which ...
The concept of the stochastic discount factor (SDF)is used in financial economicsand mathematical finance. The name derives from the price of an asset being computable by "discounting" the future cash flow x~i{\displaystyle {\tilde {x}}_{i}}by the stochastic factor m~{\displaystyle {\tilde {m}}}, and then taking the expectation.[1] This ...
Discounted cash flow. The discounted cash flow ( DCF) analysis, in financial analysis, is a method used to value a security, project, company, or asset, that incorporates the time value of money. Discounted cash flow analysis is widely used in investment finance, real estate development, corporate financial management, and patent valuation.
Hyperbolic discounting is mathematically described as. where g ( D) is the discount factor that multiplies the value of the reward, D is the delay in the reward, and k is a parameter governing the degree of discounting (for example, the interest rate ). This is compared with the formula for exponential discounting: