Accumulation function: Difference between revisions

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expressing the future value at time ''t''
ratio
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The '''accumulation function''' ''a''(''t'') is a function defined in terms of time ''t'' expressing the [[futureratio of the value]] at time ''t'' ([[future value]]) and the initial investment ([[present value]]) (see also [[time value of money]]). It is used in [[interest theory]].
 
Thus the value at time ''t'' where the initial investment is ''k'' is given by:
 
The accumulation function assumes the initial investment to be 1. To obtain value of money where the initial investment is ''k'', simply have
 
:<math>A(t) = k \cdot a(t)</math>.