formulae list (1)
TRANSCRIPT
7/27/2019 Formulae List (1)
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Treasury and Capital Markets
Formulae List
FV = PV*(1+r/m)^(m*t)
Market capitalization = Market Price * Number of Outstanding Shares
Market Capitalization (using free float) = Market Price * Number of Outstanding Shares * Free Float
Factor
Earnings Per Share (EPS) = Profit After Tax (PAT)/Total no. of Equity Shares (Issued)
Price to Earnings Ratio (P/E Ratio) = Market Price of the Share/Earnings per Share (EPS)
Dividend Yield (%) = [Dividend per Share/ Market Price of Share]*100
Volatility (%) = [(Highest Price of Share – Lowest Price)/ Market Price of
Share]*100
Book Value of Share = (Equity Share Capital + Reserves) /Total no. of Equity Shares
(Issued)
Beta (ß) = Covariance (Index, Stock)/Variance (Index)
Returns = (Value today - Value of the previous day)/Value of theprevious day
Maintenance margin = (Value of your money (equity) / Market value of investment)
VaR Margin (Group I) = 3.5 times volatility or 7.5% of the value of the transaction.
VaR Margin (Group II) =3.5 times volatility or 3 times the VaR of the index*√3
VaR Margin (Group III) = 5 times the VaR of the index*√3
Extreme loss margin (Stock) = 1.5 times the standard deviation of daily returns of the stock
price in the last six months or 5% of the value of the position.
Trading Position = Total Purchases-Total Sales
Current Yield (Annual Coupon Amount / Market Price)*100
Annualized Coupon [1+r/m]n - 1
Actual/Actual The number of days between two interest dates
/[(The actual number of days in the current interest period) *(
The number of coupons paid in a year)]
Bond Price Bond Price = ∑ C / (1 + r /m )^m*t
C=Coupon
r=YTM
m=Number of times compounding
happens in a year t=Time period in years
Dirty Price Clean Price + Accrued Interest(undiscounted)
Zero Coupon Bond Pricing Face Value (FV)/[1 + (YTM*Time period in years)]
Security Position Settled purchase or open purchase: –ve sign (+ve balance in
RBI’s books) Open sale: +ve sign (- ve balance in
RBI’s books)
Trading Position Long trading position: +ve sign
Short trading position: –ve sign
Macaulay Duration Σ (PVCF/TPVCF)*T
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Treasury and Capital Markets
Modified duration [Macaulay Duration]/[1 + (YTM/k)]
k = is the number of interest periods in a year
Convexity Adjustment (Convexity measurement/2 )*(Δy)2 * 100 Where Δy is the
change in yield.
Convexity Measure Σ(PVCF/Bond price)*(T^2)
Forward FX Rate F = S * (1+Rq* Tq)/(1+Rb * Tb)Pre-Settlement Risk (PSR) Current Mark to Market (CMTM) + Maximum Likely Increase in
Value (MLIV)
MLIV Daily Factor Sensitivity × √(Contract Tenor) × Amount
Swap Difference [Spot rate*Interest rate differential/100]*[No.ofmonths
forward /12 Months]
Extreme Loss Margin (Currency Futures –
USDINR)
= 1% of the MTM value of the open positions.
EWMA formula σn2 = λ σn-1
2 + (1- λ) un-12
σ – Volatility
u – Data of Returnsn – Date