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MDC23
Feb 2, 2010, 02:06 PM
Present And Future Values Of A Cash Flow Stream: An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $300 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk earn 8% annually, what is its present value? Its future value?

Also what formula's do I use to show my work?

I appriciate anyone's help!

morgaine300
Feb 4, 2010, 12:59 AM
These are the equations for annuities (series of payments):

PV=Pmt\,\left(\frac{1-(1+i)^{-n}}i\right)

FV=Pmt\,\left(\frac{(1+i)^n-1}i\right)

Those can be used when you have equal payments over a period.

The ones for lump sums are:

PV = \frac{FV}{(1+i)^n}

FV=PV(1+i)^n

(Those two are actually the same, just twisted around to solve for a different variable.)

That has to be used when the payments aren't equal, so the $200 is 4 periods, the $300 5 periods etc.