Browse Valuation and Analysis

No-Arbitrage and Risk-Neutral Models

Valuation-modeling terms for binomial pricing, no-arbitrage logic, risk-neutral probabilities, and Vasicek interest-rate models.

No-Arbitrage and Risk-Neutral Models covers valuation-modeling terms for binomial pricing, no-arbitrage logic, risk-neutral probabilities, and Vasicek interest-rate models.

Use these pages when a statistical assumption, model structure, or risk distribution changes the analytical result. It sits inside Asset Pricing, Stochastic Processes, and Risk-Neutral Models, so readers can move up when the broader valuation context matters.

Use the table below to choose the narrower valuation branch before relying on a model input, market multiple, forecast, risk premium, price signal, or recommendation.

What This Branch Covers

AreaUse it for
Binomial PricingBinomial pricing values options by modeling possible up-and-down price paths and discounting expected payoffs through a decision tree.
No ArbitrageThe concept of no arbitrage asserts that there are no opportunities to earn a risk-free profit with no investment in efficient markets.
Risk-Neutral ProbabilitiesRisk-neutral probabilities are model-implied probabilities used to price assets by discounting expected payoffs at the risk-free rate.
Vasicek Interest Rate ModelThe Vasicek interest rate model describes short-rate movements with mean reversion and is used in fixed-income valuation.

What to Check

  • Forecast source, valuation date, market data, accounting adjustments, and model version.
  • Cash-flow input, discount rate, multiple, growth assumption, terminal value, balance-sheet adjustment, and scenario range.
  • Comparable set, transaction set, sector, geography, size, leverage, margin profile, and accounting basis.
  • Effect on intrinsic value, relative value, price target, margin of safety, impairment view, deal price, or recommendation.
  • Sensitivity to growth, margins, reinvestment, discount rate, exit multiple, leverage, and market conditions.

Common Mistakes

  • Treating a valuation output as a precise fact instead of a range of estimates.
  • Comparing multiples without normalizing earnings, leverage, accounting policy, growth, and risk.
  • Ignoring valuation date, source quality, cyclicality, nonrecurring items, and sensitivity analysis.
  • Using valuation terminology as personalized investment, tax, legal, or appraisal advice.

Valuation content is educational and does not provide investment, tax, legal, accounting, appraisal, or valuation advice.

In this section

Choose a subsection first. Deeper term pages live inside each subsection, which keeps large topic hubs readable.

Binomial Pricing

Binomial pricing values options by modeling possible up-and-down price paths and discounting expected payoffs through a decision tree.

No Arbitrage

The concept of no arbitrage asserts that there are no opportunities to earn a risk-free profit with no investment in efficient markets.

Risk-Neutral Probabilities

Risk-neutral probabilities are model-implied probabilities used to price assets by discounting expected payoffs at the risk-free rate.

Vasicek Interest Rate Model

The Vasicek interest rate model describes short-rate movements with mean reversion and is used in fixed-income valuation.

Revised on Sunday, June 21, 2026
Stochastic Models