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Derivatives Theory

Options Market Making Exercises

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Market Making Trainer ~10 min
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Overview
The Options Market Making Exercises cover the mental arithmetic behind quoting options. Fast pricing uses the desk rule of thumb for an at-the-money straddle, 0.8 × S × σ × √T, and splits any premium into intrinsic and time value. Put-call parity, with rates and dividends set to zero so it stays mental, prices the missing call or put and exposes a rich or cheap combo that a conversion or reversal locks in. Greeks & hedging asks for the delta of in, at and out-of-the-money options, the sign of each Greek for long and short positions, and the net delta of a book of contracts in shares. The scenario run takes one book from pricing the straddle through quoting, getting lifted, hedging, re-hedging after a move, reading the Greeks, theta and settlement.
What's Covered
1
Fast pricing Straddle ≈ 0.8 × S × σ × √T, the ATM call or put is half of it. Intrinsic value is what exercise pays now; time value is the rest of the premium.
2
Put-call parity C − P = S − K with zero rates and no dividends. When the market combo differs from S − K, the conversion or reversal collects the difference.
3
Greeks & hedging Deltas run 0 to 1 for calls and 0 to −1 for puts. Long options are long gamma and vega, short theta. Net delta in shares = Σ sign × contracts × delta × 100.
4
Scenario run One book of calls run against the clock. You price the straddle, quote, get lifted, hedge, re-hedge after a move, sign the Greeks, count theta and settle, with the working shown at the end.
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