Options field guide
Plain-language guides to earnings, implied volatility, option strategies, target prices, and time decay
331 guides
Learn option-price bounds, vega and monotonicity, Newton–Raphson and bisection, low-vega instability, quote selection, and IV solver validation.
Read guideLearn when U.S. listed option premiums, closing trades, exercises, assignments, shares, and cash settle under T+1, and why account balances can update at different times.
Read guideCalculate one option contract cost from quoted premium, multiplier, quantity, bid-ask spread, commissions, adjusted deliverables, and exercise funding.
Read guideLearn how likelihood-ratio reweighting preserves expectations, how exponential tilting reduces rare-event variance, and how weight degeneracy can ruin an option simulation
Read guideLearn how interrupted time series estimates level and slope changes, why baseline trends and autocorrelation matter, and how controlled designs strengthen financial event analysis.
Read guideLearn iron butterfly adjustments: closing the iron fly, converting to a condor, moving the body or wings, rolling expiration, realized P&L, new break-evens, gamma, and assignment.
Read guideUnderstand iron butterfly expiration, same-strike call and put assignment, pin risk, automatic exercise, long-wing handling, after-hours moves, physical or cash settlement, and exits.
Read guideCalculate short iron butterfly maximum profit, maximum loss, two break-even prices, wing width, net credit, multiplier, fees, asymmetric wings, and expiration payoff.
Read guideLearn iron condor adjustments including closing, rolling the tested or untested side, moving strikes, changing expiration, realized loss, new risk, margin, and execution.
Read guideUnderstand iron condor expiration, early assignment, pin risk, automatic exercise, after-hours moves, stock delivery, long-wing protection, cash settlement, and closing decisions.
Read guideCalculate iron condor maximum profit, maximum loss, lower and upper break-even prices, unequal-wing risk, contract multiplier, fees, and expiration outcomes.
Read guideLearn why stochastic functions need an extra second-order term, how Itô's lemma expands option value, and how delta hedging leads to a pricing equation
Read guideLearn the four legs of a jelly roll, how synthetic stock is rolled between expirations, what its price says about carry, and the execution, assignment, and settlement risks.
Read guideUnderstand how generators evolve conditional values backward and probability densities forward, with links to Fokker–Planck, pricing, calibration, and boundaries
Read guideCompare real Laplace asymptotics with complex contour steepest descent, learn the leading saddle formula, and see how singularities and competing saddles affect option calculations
Read guideLearn how rate functions describe exponentially rare moves, how they enter option and implied-volatility asymptotics, and where the approximation stops
Read guideCompare convergence of sample averages with the distribution of their fluctuations, including weak and strong laws, scaling, dependence, ergodicity, and financial interpretation
Read guideUnderstand stationary independent increments, the Lévy triplet, Lévy–Itô decomposition, compensated jumps, financial uses, and model limits
Read guideUnderstand localization, expectation loss, positive strict local martingales, bubble models, measure changes, and option-pricing diagnostics
Read guideCompare long and short box spreads by opening cash flow, fixed expiration payment, implied lending or borrowing rate, collateral, rate risk, and early assignment.
Read guideCalculate long call maximum profit, maximum loss, expiration break-even, contract value, return on premium, fees, time value, IV, and automatic exercise outcomes.
Read guideCompare a long call with a short put by maximum profit and loss, break-even, premium cash flow, delta, theta, IV, margin, assignment, and stock funding.
Read guideCalculate long put maximum profit at a zero stock price, maximum loss, expiration break-even, contract value, fees, time value, IV, and exercise outcomes.
Read guideCompare a standalone long put with a protective put by stock ownership, direction, maximum profit and loss, break-even, basis, delta, IV, exercise, and hedge expiration.
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