Formulas Flashcards
Internal Rate of Return
Initial Investment (-) CFj
Cash Flows (±)CFj
Gold, IRR
Unequal Cash Flow NPV
Initial Investment (-) CFj
Cash Flows (±)CFj
Req. ROR I/YR
Gold, NPV
Unequal Cash Flow PV
0 CFj
Cash Flows (±)CFj
Req. ROR I/YR
Gold, NPV
Amortization Calc
(12 P/YR)
PV = Mortgage
FV = 0
I/YR = Interest
N = Term
Solve, PMT
1, INPUT, # of Periods (months)
Gold, AMORT
Geometric Mean Calc
- Add 1 to all decimal returns
- Multiply returns = A
FV = A
PV = -1
N = Investment periods
Solve, I/YR
Bond Conversion Value Formula
(Par/Conversion Price) × FMV Stock
Return on Equity
EPS/Book Value
EPS/Book Value
Return on Equity
Standard Deviation Calc
(one investment)
Periodic returns (±) Σ
Gold, 8
Bond Intrinsic Value Calc
(2 P/YR)
FV = 1000
PMT = Coupon/2
N = Term
I/YR = Comparable Interest
Solve, PV
Coefficient of Variation Formula
Standard Deviation / Mean Return
Standard Deviation / Mean Return
Coefficient of Variation
Dividend Payout Ratio Formula
Dividend / EPS
Dividend / EPS
Dividend Payout Ratio
Real Rate of Return
[(1+return/1+inflation)-1]x100
*Use decimals
Bond YTM Calc
(2 P/YR)
PV = (-) FMV
FV = 1000
N = Term
PMT = Coupon/2
Solve, I/YR
Tax Equivalent Yield Formula
Fed or Muni Interest / (1-Tax You Don’t Pay)
After Tax Yield Formula
TEY x (1-Marginal Rate)
Real Estate Intrinsic Value Formula
NOI / Cap Rate
NOI / Cap Rate
Real Estate Intrinsic Value
Bond Current Yield
Annual Interest ($) / FMV Price
Price / Free Cash Flow Formula
FCF(1+g) / (r-g)
*Use decimals
FCF(1+g) / (r-g)
Price / Free Cash Flow
*Use decimals
Holding Period Return Formula
Sale Price ± (What happened while holding) - What you paid / What you paid
Margin Call Formula
[(1 - Margin %) / (1 - Maintenance %) ] x Purchase Price
P/E Ratio
Price / EPS
Constant DDM
D(1+g) / (r-g)
*Use decimals
(Use for intrinsic value of stock)
Constant DDM
(no dividend given)
(P/E)(1+g) / (r-g)
*Use P/E for Div.
*Use decimals
(solve = intrinsic value of stock)
COVij / σiσj
Correlation Coefficient
Correlation Coefficient (covariance given)
COVij / σiσj
Standard Deviation (Covariance given)
COVij / Pijσi
COVij / Pijσi
Standard Deviation of Stock “j”
rp - (rf+(rm-rf)β)
Alpha
*Use whole numbers
(solve = portfolio mgr. return)
Alpha
rp - (rf+(rm-rf)β)
*Use whole numbers
(solve = portfolio mgr. return)
Pijσiσj
Covariance
(solve = covariance)
Covariance
Pijσiσj
(solve = covariance)
Risk Adjusted Return
Return / β
Return / β
Risk Adjusted Return
rf + (rm-rf)β
Required Rate of Return AKA SML
*Use whole numbers
(solve = required ror)
Required Rate of Return AKA SML
(“r” given)
rf + (rm-rf)β
*Use whole numbers
(solve = required ror)
-D[∆y/(1+y)]
Change in bond price
*Use decimals
Change in bond price
-D[∆y/(1+y)]
*Use decimals
Pimσi/σm
Beta
Beta (correlation coefficient given)
Pimσi/σm
(solve = risk of stock)
COVim/σm^2
Beta
(solve = risk of stock)
Beta (covariance given)
COVim/σm^2
(solve = risk of stock)
βσm / σi
Correlation Coefficient
Correlation Coefficient (Beta given)
βσm / σi
[D(1+g)/P] + g
Required Rate of Return
*Use decimals
(solve = req. ror)
Required Rate of Return (no “r” given)
[D(1+g)/P] + g
*Use decimals
(solve = req. ror)