Time Value of Money Flashcards
Someone is going to give you $5k in 1 year from today, interest rates are 2%, what is the present value of this future money?
$5k * 0.98 = $4900
ROA =
= return on Assets = net income / Assets * 100%
ROI =
Return on Investments = Net income / Investment * 100%
ROE =
Return on Equity = Net Income / Stockholder’s Equity
ROA / (1 - Debts/Assets) =
ROE
If the interest rate goes up, present value goes
DOWN
one reason why stocks tend to go down when Fed discusses raising interest rates
With simple PV, if time increases, then PV goes
DOWN
PV of $1 =
1 / ( (1+r)^n )
In these cases, lottery payouts, car loans, mortgages, anticipate using…
PV of Annuity
Yearly Payment of a Loan =
= Amount of Loan / PVIFA = Yearly Principal + Interest Payment (P&I)
The P&I payed per period on an amortized loan is…
constant
(Principal + Interest) - it will be the same each period
Amortization: Amount of interest per period =
= Total outstanding amount of loan * APR / # of periods per year
Truth in Lending Act did what
Banks must tell you total P&I you will owe over the lifetime of the loan up front, and not hide the information
If you have a $45k loan, maturity of 5 years, 6% interest, what is the monthly P&I
PVIFA = 4.212
Annual P&I = $45000/4.212 = $10683.76
Monthly P&I = $830.31
Which formula shows this breakdown:
ROA = Net Income / Assets =
Sales / Assets * Net Income / Sales = Assets Turnover * Profit Margin
DuPont Formula
If Profit Margin is 3%, and you want an ROA of 18%, what do you need Assets Turnover to be?
ROA = Profit Margin * Asset Turnover
18% / 3% = 6 times = Asset Turnover
Formula for Simple FV
FV = PV * (1+r)^n
If you have a $100k in a CD, maturity of 5 years, APR = 4%, compounded quarterly, what is the FV at maturity?
FV = $100k * (Simple FV (1%, 20 periods) = 1.220 * $100k - $122,000
When frequency of payment goes up, FV …
goes up
Discount rate is…
the annual reduction rate on a future value, the inverse of the growth rate
How long will it take you to double your money if you have a simple investment with a 9% interest rate?
Approximately 8 years
What interest rate would you need to quadruple the amount of money in an account over 18 years?
approximately 8% (FVIF = 3.996 at 8 years)