Future Value Example
Lets look at FV() first using the example above. You have $10,000 to invest in an index fund. You also want to add $400 per month for the next 5 years. We will assume our normal 7% rate of return.=FV(.07/12,60,-400,-10000,0)
This investment will yield $42,813.41.
The general syntax for FV() is FV(rate,nper,pmt,pv,type).
- rate - interest rate (divide by 12 if the interest rate is per month)
- nper - number of payment periods in years (or months if dividing interest rate by 12)
- pmt - payment made each period (needs to be negative)
- pv - present value (initial investment, needs to be negative)
- type - 0 for payments at end of period, 1 for the beginning of the period. (I usually use 0)
Power Example
Lets use the POWER() function to reverse our Future Investment example. This one requires a little bit of math, but the basic structure is:
=POWER(Final Value/Initial Value, 1/Period)-1
More specifically =POWER(42813.41/10000,1/5)-1
Wait a second, this is 0.3376829 or about 33.77%. Why didn't this work out to be 7%? Oh yeah, we added $400 per month. Be careful, this is your money we are slicing and dicing.
Maybe we should use a different example. Perhaps your house. You bought it for $200,000 fifteen years ago. You just sold it for $280,000.
=POWER(280000/200000,1/15)-1 or 0.02268496 or about 2.27% return.
Recall our multipliers from Impact of Saving a Few Chronic Dollars with Compound Interest?
Do they work? Lets use an example of saving $100 per month, maybe from dropping cable.
- to calculate a weekly expense compounded over ten years, multiply the price by 752
- for a monthly expense, multiply by 173
=FV(0.07/12,120,-100,0,0) which yields $17,308.48
and if you divide $17,308.48 by 173 you get $100.05. Pretty darn close!
Photo credit: SG2012 / Foter / CC BY
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