Yahoo Answers: Answers and Comments for Differences between present value and future value? [Other  Business & Finance]
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From Lomus
enUS
Sat, 10 Mar 2007 19:34:39 +0000
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Yahoo Answers: Answers and Comments for Differences between present value and future value? [Other  Business & Finance]
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From Salwa R: Good question, I had trouble with this when I ...
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Sat, 10 Mar 2007 20:38:52 +0000
Good question, I had trouble with this when I first started taking classes at MIT. I will list the equations for each then explain them to the best of my ability.
PV = FV/(1+r)^t
FV = PV(1+r)^t
Now for future value, you take the amount of money you have now, and multiply it by 1 + r which is the interest rate or the rate of return the bank or the investment is going to add back to your money. say 10%? r is a decimal since it is a percentage, and so 1 + r = 1 + 0.10 if the rate of return was 10%.
Next you figure out if the rate of return is the annual compounding rate or if it is monthly or whatever. Lets say 10% is the yearly compounding interest rate. This means that at the end of the first year, your money will = 1.10(present value). and at the end of the second year it will be worth 1.10(1.10(present value or starting value)
1.10(1.10(PV) also = PV(1.10^2) where 2 is the amount of years that have passed on your investment.
t = the time that passes/the compounding interval
so t = 2 years/1 year since 2 years have passed and the compounding interval is 1 year (you get 10% every year)
Thus, FV = PV(1 + r)^t
Sometimes you will be given the future value, and you might like to know how much that value will be worth TODAY. So if your friend tells you that he will pay you $100 in 2 years for the radio you sold to him, you should know that $100 in 2 years is worth less today if the interest rate rises.
PV of $100 in 2 years :
PV = FV/(1 + r)^t
PV= 100/(1+interest rate)^2
Assuming the interest rate is 4%, you sold your radio to your friend for :
100/(1.04^2) = $92.46
If the radio is worth $100 today, you would want him to pay you :
FV = 100(1.04)^2 = $108.16 in 2 years
HOPE THAT HELPS!

From Scott K: Present value is the value today of a stream o...
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Sat, 10 Mar 2007 23:44:20 +0000
Present value is the value today of a stream of payments to be received in the future at a given cost of capital. Future value is the value of a stream of payments at some point in the future.

From chelly01: present value is what it is worth NOW.
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Sat, 10 Mar 2007 19:39:26 +0000
present value is what it is worth NOW.