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Let be the state at time .For a decision that begins at time 0, we take as given the initial state .At any time, the set of possible actions depends on the current state; we express this as (), where a particular action represents particular values for one or more control variables, and () is the set of actions available to be taken at state .
The actuarial present value (APV) is the expected value of the present value of a contingent cash flow stream (i.e. a series of payments which may or may not be made). Actuarial present values are typically calculated for the benefit-payment or series of payments associated with life insurance and life annuities .
As an example, consider a whole life insurance policy of one dollar issued on (x) with yearly premiums paid at the start of the year and death benefit paid at the end of the year. In actuarial notation, a benefit reserve is denoted as V. Our objective is to find the value of the net level premium reserve at time t.
Assessing whether increased maintenance costs will economically change the useful life of an asset. [10] Calculating how much should be invested in an asset in order to achieve a desired result (i.e., purchasing a storage tank with a 20-year life, as opposed to one with a 5-year life, in order to achieve a similar EAC). [11]
For proportional transaction costs the problem was solved by Davis and Norman in 1990. [6] It is one of the few cases of stochastic singular control where the solution is known. For a graphical representation, the amount invested in each of the two assets can be plotted on the x - and y -axes; three diagonal lines through the origin can be ...
Estimates for the value of a life are used to compare the life-saving and risk-reduction benefits of new policies, regulations, and projects against a variety of other factors, [2] often using a cost-benefit analysis. [3] Estimates for the statistical value of life are published and used in practice by various government agencies.
A CGE model consists of equations describing model variables and a database (usually very detailed) consistent with these model equations. The equations tend to be neoclassical in spirit, often assuming cost-minimizing behaviour by producers, average-cost pricing, and household demands based on optimizing behaviour.
Whole-life cost is the total cost of ownership over the life of an asset. [1] [clarification needed] The concept is also known as life-cycle cost (LCC) or lifetime cost, [2] and is commonly referred to as "cradle to grave" or "womb to tomb" costs. Costs considered include the financial cost which is relatively simple to calculate and also the ...