
Future Value
refers to the amount of money an investment will grow to over some period of time at some given interest rate
cash value of an investment at some time in the future

Single period investment
 Investment = (1+r)
 where r= interest rate, rate of return or discount rate per period

compound interest
earning interest on interest
Future value interest factor, or future value factor (FVIF) = (1 * r)^t
 ex: $100 worth after 5 yrs with 10% interest
 (1+.10)^5= 1.1^5= 1.6105
 100*1.6105= $161.05
increases each year

simple interest
interest is not reinvested so interest earned each period only on the original principal
 constant each year

present value
the current value of FCF (future cash flows) discounted at the appropriate discount rate
 Single period
 PV= $1* [1/(1+r)]
 = $1/(1+r)
 Mupltiple periods
 PV= $1*[1/(1+r)^t]
 =$1/(1+r)^t

Discount rate
the rate used to calculate the present value of FCFs
1/(1+r)^t

discounted cash flow (DCF)
valuations calculating the present value of a future cash flow to determine its value today

Discount rate
 Discount factor
 Present value interest factor (PVIF)
 Present value factor

for a given length of time, the higher the discount rate is, the lower is the present value
PV and discount rates are inversely related
increasing the dicount rate, decreases the present value

Present value factor is the reciprocal of the future value factor
 FCF = (1+r)^t
 PVF = 1/(1+r)^t
easy way to calculate a PVF is to first calculate the FVF and then press the 1/x key to flip it over
PV*(1+r)^t= FV
 PV= FV/(1+r)^t
 FV*[1/(1+r)^t]

Rule of 72
For reasonable rates of return, the time it takes to double your money is given approx by 72/r%
(fairly accurate for discount rates in the 520% range)
ex: potential investment to double your money every ten years, what is the rate of return? 72/10=7.2%
want to purpose an asset costing 50K, currently have 25K, 12%, how long will it take? 72/12= 6yrs at 12%

