Time value of money
$1 today > $1 tomorrow
Compounding
Principal grows over time and gains interest.
Ex:
100 = (1+.08)^t
What’s the next step?
ln(100) = t * ln(1.08)
What to do with “r” when compounding daily/monthly/quarterly/yearly?
Daily: r/365
Monthly: r/12
Quarterly: r/4
Yearly: r
Continuous Compounding:
FV = PVe^R*T
R = ANNUAL rate
T = Years
FV = PV (1 + r)^t
r - term rate
t - # of periods