Formulas Flashcards
Number of futures contracts to hedge
Market value of the portfolio X portfolio beta //
(Futures price + dividends) x value of one futures point
Theoretical futures
Spot + ir - dividend points
Use spot to work out dividends, not futures
Synthetic total returns
Index plus dividends equals futures and money market deposit
Put call parity with dividends
Pv(dividend) = spot - pv(strike) - call price + put price
Dividend swap payoff
Payout = notional amount x (realized dividends - strike)
Risk neutral probability
Cost of spread / max payout
Event driven vol
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Variance swap payout
Payout = variance amount x (realised variance - strike^2)
Vega amount
Variance amount x 2 x strike
Vega swap pnl
Vega notional x (realised variance - strike ^2) /
2 x strike
Dollar gamma pnl
Pnl = 1/2 x 100 x dollar gamma x spot return ^2
Correlation
Correlation = (index vol / single stock vol)^2
Forward variance swap
Fwd vol^2 * fwd time = long vol^2 x long time - short vol^2 x short time