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Options field guide

All guides · Page 8

Plain-language guides to earnings, implied volatility, option strategies, target prices, and time decay

331 guides

Buy the near option and sell the farther same-strike option17 min read

Short Calendar Spread Options Strategy

Learn how a short or reverse calendar spread works with calls or puts, including credit, large-move thesis, unknown loss region, negative theta, assignment, margin, and exits.

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Calculate an uncovered call sale15 minute read

Short call max profit, loss, and break-even

Calculate uncovered short call maximum profit, unlimited loss, expiration break-even, contract exposure, margin, fees, IV, early assignment, and stock delivery risk.

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Calculate an uncovered put sale15 minute read

Short put max profit, loss, and break-even

Calculate uncovered short put maximum profit, stock-to-zero loss, expiration break-even, effective purchase price, margin, fees, IV, assignment, and funding risk.

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Calculate a one-strike short-volatility liability15 minute read

Short straddle max profit, loss, and break-even

Calculate short straddle maximum profit, unlimited upside loss, stock-zero downside loss, two break-evens, multiplier, margin, fees, assignment, and early P&L.

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Sell two at-the-money volatility exposures14 min read

Short Straddle Options Strategy Explained

Learn the short straddle payoff, break-even formulas, theta and volatility exposure, unlimited upside loss, assignment, margin, and expiration risks.

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Compare two undefined-risk premium-selling ranges13 min read

Short Straddle vs Short Strangle

Compare short straddle and short strangle strikes, premium, break-even width, Greeks, probability claims, margin, assignment, and unlimited tail risk.

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Calculate two separated short option liabilities15 minute read

Short strangle max profit, loss, and break-even

Calculate short strangle maximum profit, unlimited upside loss, stock-zero downside loss, both break-evens, multiplier, margin, fees, assignment, and early valuation.

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Sell a range with two out-of-the-money options14 min read

Short Strangle Options Strategy Explained

Learn the short strangle payoff, strike selection, break-even range, limited premium, unlimited tail risk, theta, volatility, margin, and assignment.

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Optimal stopping value13 min read

Snell Envelope and Optimal Stopping Explained

Understand the smallest supermartingale behind optimal stopping, American option exercise, backward induction, and reliable numerical bounds

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What replaces the bell curve when variance does not exist15 min read

Stable Distributions and Infinite Variance in Finance

Understand alpha-stable laws, the generalized Central Limit Theorem, infinite variance, tail parameters, aggregation, early financial evidence, and the diagnostics needed before using stable models

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Three ideas often treated as synonyms but answering different questions16 min read

Stationarity, Unit Roots, and Mean Reversion in Finance

Understand strict and weak stationarity, random walks, unit roots, persistence, mean reversion, half-life, spurious regression, ADF and KPSS tests, structural breaks, and financial diagnostics

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Pricing kernel12 min read

Stochastic Discount Factor Explained

Learn how a stochastic discount factor prices payoffs across time and states, connects risk premia to covariance, and relates to risk-neutral valuation

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Multiplicative stochastic growth14 min read

Stochastic Exponential and Doléans–Dade Exponential Explained

Understand the stochastic exponential, its jump correction, positivity, martingale tests, measure changes, and role in asset-value dynamics

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Compare two option underlyings15 minute read

Stock options vs index options: key differences

Compare stock and index options by underlying, deliverable, multiplier, cash settlement, exercise style, dividends, basis risk, notional size, and expiration.

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Lower a recovery target without adding initial shares15 min read

Stock Repair Options Strategy Explained

Learn the stock repair strategy, its 1-by-2 call structure, lowered break-even goal, capped recovery, continued stock downside, assignment, and expiration risk.

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One-sided replication12 min read

Superhedging Price and No-Arbitrage Bounds Explained

Learn how superhedging guarantees claim coverage, creates upper and lower price bounds, and connects incomplete markets to martingale-measure duality

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Discrete replication12 min read

The Binomial Option Pricing Model Explained

Learn how a binomial tree uses one-step replication, risk-neutral probabilities, backward induction, and early-exercise checks to value options

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Why many small risks can look normal without being normal15 min read

The Central Limit Theorem in Finance

Understand what the Central Limit Theorem says about standardized sums, which assumptions financial returns can violate, why convergence is not exact, and when square-root-of-time scaling fails

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Correcting normal quantiles for skewness and kurtosis15 min read

The Cornish–Fisher Expansion for Risk Quantiles

Understand how Cornish–Fisher adjusts normal quantiles with cumulants, how it differs from Edgeworth, and why tail risk estimates need monotonicity and stability checks

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From scaled cumulants to a large-deviation rate15 min read

The Gärtner–Ellis Theorem Explained

Learn how a limiting scaled cumulant-generating function can produce a large-deviation rate function, which regularity conditions matter, and how the result reaches option tails

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Choosing a distribution from incomplete constraints15 min read

The Maximum Entropy Principle in Finance

Understand entropy maximization under moment and option-price constraints, its exponential-family dual, the role of a reference measure, and the checks needed for an implied distribution

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Smile dynamics12 min read

The SABR Volatility Model Explained

Learn how the SABR model links a random forward and volatility, how alpha, beta, rho, and vol-of-vol shape the smile, and where its approximation can fail

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Build one counterfactual from a transparent donor pool18 min read

The Synthetic Control Method

Understand donor weights, pretreatment fit, convex-hull limits, placebo inference, spillovers, and how synthetic controls evaluate a policy affecting one market or firm.

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A loss threshold and the average beyond it15 min read

Value at Risk vs Expected Shortfall Explained

Compare VaR and Expected Shortfall definitions, calculations, diversification properties, estimation error, and the backtests needed before using either tail-risk measure

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