Formulas Flashcards
Net revenue recognised
Credit sales - Return of goods sold
Basic EPS
(Net income - Preference dividend) / Weighted average number of shares
Diluted EPS
(Net income - Preference dividend + convertible tax) / Weighted average number of shares + issued shares
LIFO Reserve
FIFO Inv - LIFO Inv
Retained earnings(FIFO)
Retained(LIFO) + LIFO Reserve(1-T)
FIFO COGS
LIFO COGS - chng in LIFO reserve
FIFO Net Income
LIFO net income + chng LIFO Reserve(1-T)
Net WC
CA - CL
Quick ratio
(CA - Inv)/CL
Cash ratio
(Cash + ST securities)/CL
AR Turnover
Credit sales / Average AR
Inventory Turnover
COGS / Avg Inventory
No. of Days Rec
avg AR * 365 / Sales on credit
No. of Days of Inv
Avg Inv * 365 / COGS
No. of Days payable
Avg AP * 365 / Purchases
Net Operating Cycle
Days of Rec + Days of inv - Days of payable
Rp
Dp/Pp
Re
Rd + risk - premium
Annualised r
(1+r)ˆ(365/p)
Harmonic mean
n/Sum(1/Xi)
Ly (finding percentile boundries)
(n+1)*percentile/100
Mean-absolute dev
E[xi-X]
sˆ2
Sum((xi-X)ˆ2)/n-1
S
|s|
Coeff. variance
s/X
Sharpe ratio
(Rp - Rf)/Sp
Leptokurtic
More peaked, kurtosis > 3
Platykurtic
Kurtosis < 3
Cov(x,y)
Sum((xi-X)(yi-y))/n-1
Corr(x,y)
Cov(x,y) / (sd(x)*sd(y))
Expected value of sqr deviations Var(X)
Sum(P(Xi) * (Xi - E(x)))
Z-score
(xi-X)/sd
Current yield
Annual coupon / Bond Price
Bond price b/ween coupon
Flat price + PMT * t/T
Converting APR
(1 + APRm/m)ˆm = (1+ APRn/n)ˆn
G-spread
Yield - gvmt
I-spread
Yield - interbank swap rate
Z-spread
Constant spread - spot rate
Par rate
(1-DFn)/Sum(DFi)
AyBy meaning
B-year bond purchased in A years
AyBy calculation
((1+(A+B)y)^(A+B)/(1+Ay)^A)ˆ1/B - 1
Contribution Margin
Price of unit - Variable costs
Degree of operating leverage
%chng in operating profit / %chng in Sales
(Whatever) Margin
X / Revenue
Gross Profit
Revenue - Cost of Sales
EBITDA
Gross Profit - Operating expenses
Cash conversion cycle
days of sales outstanding + days of inv outst - days of payable outst
Degree of fin leverage
% chng Net Income / % chng Operating income
Net margin
Tax burden * Int burden * Operating Margin
ROE
Net Margin * Asset turnover * Equity Multiplier
HHI
Sum((segment %)ˆ2)
1500-2500 moderate
FCFE
CFO - FC Inv + Net borrowing
V0 of company
Sum(FCFEt/(1+r)ˆt)
Pref stock V0
D0/r
Growth of company
retention rate x ROE
EV
MV + preferred stock + Debt - Cash and ST Inv
Asset-based approach
MV of assets
Money weighted return
IRR
Var of portfolio
Var Sum(wi*Ri)
SD of portfolio
((w1s1)ˆ2 + (w2s2)ˆ2 + 2w1w2cov(R1,R2))ˆ(1/2)
Utility
E(r) - 1/2Asˆ2
sd(p)
(1 - w1)sd(i)
CAL
Rf + (E(Ri) - Rf)*sd(p)/sd(i)
uses asset return and sd
CML
Rf + (E(Rm) - Rf)*sd(p)/sd(m)
uses market return and sd
SML
CAPM
Bi = P(i,m) * sd(i) / sd(m)
Sharpe ratio
(Rp-Rf)/sd(p)
Treynor ratio
(Rp - Rf)/Bp
Jensen’s Alpha
Rp - CAPM
MOIC
(realised + unrealised value of inv) / Total invested capital
R leveraged (derivatives)
r + Vborrowed*(r-rborrowed)/Vinvestment
GP return
P1mgmnt fee + max[0 , (P1-P0)performance fee]
Ri (fund)
(P1 - P0 - Rgp)/P0
GP return with hurdle
P1rm + max[0, (P1(1-Rm) - P0(1+hurdle)]performance
Forward price
So*(1+r)ˆT
Which one is daily settled?
Futures
Money created
New deposit / Reserve requirement
Money multiplier
1 / Reserve req