September 21st, 2011, 5:08 pm
QuoteOriginally posted by: persefoniwhat is the best way, if any, to determie the risk of a portoflio consisting of only options contracts (listed US Equity options).Is there any benefit in converting the contract size, into the equivalent number of shares (by multiplying the delta) and then using the Beta of the underlying, to determine the hedge ratio? (assuming the goal would be to calculate the risk of this portfolio consisting of only options contracts, and hedging it using SPX futures)can anyone out there help. Anyone at all?Example: 100 contracts of APPL 440 calls October, with a delta of 0.34 (and the stock at 416.33)100 contracts = 10,000 shares, but this behaves the same as 3400 shares of aapl (as indicated by he delta, 10,000 x 0.34).aaple stock has a beta of 1.11therefore, i am syntheticaly long 3400 shares of aaple (equivalent via the option position), therefore exposed to 1,415,522$ with a beta of 1.1am i considered hedged if i sell 1,557,074.20$ worth of SPX futures? say about 5 contracts? (1,415,522$ x1.1)given this non linear investment, should I somehow incorporate other Greeks into the equation? the hedging will be very dynamic and might require constant upkeep and rebalancing.any advice at all? publications, books, eth?This is delta hedging. It requires a dynamic strategy to remain delta-neutral, but you are still exposed to volatility. You could hedge gamma using other options to reduce the amount of rebalancing.