“The Mathematics of Arbitrage”

Target entity: “The Mathematics of Arbitrage”
Context triple: [Freddy Delbaen, notableWork, “The Mathematics of Arbitrage”]

• A. Rabin’s calibration theorem for expected utility
  Rabin’s calibration theorem for expected utility is a result in behavioral economics showing that standard expected utility theory with concave utility cannot plausibly explain observed levels of risk aversion over small stakes without implying absurdly high risk aversion over large stakes.
• B. Merton’s model of credit risk
  Merton’s model of credit risk is a structural framework in finance that values a firm’s equity as a call option on its assets to assess the probability of default and price corporate debt.
• C. Merton’s jump-diffusion model
  Merton’s jump-diffusion model is a financial model that extends the Black–Scholes framework by incorporating sudden, random price jumps in addition to continuous diffusion to better capture real-world asset price dynamics.
• D. Lucas asset pricing model
  The Lucas asset pricing model is a foundational rational expectations framework in macro-finance that explains asset prices through representative-agent intertemporal consumption choices under uncertainty.
• E. Burkholder–Davis–Gundy inequalities
  The Burkholder–Davis–Gundy inequalities are fundamental results in stochastic analysis that provide two-sided bounds relating the moments of martingales to the moments of their quadratic variation.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: “The Mathematics of Arbitrage”
Target entity description: “The Mathematics of Arbitrage” is a rigorous mathematical finance text that develops the theory of arbitrage-free markets and pricing using modern probability and measure-theoretic tools.

• A. Rabin’s calibration theorem for expected utility
  Rabin’s calibration theorem for expected utility is a result in behavioral economics showing that standard expected utility theory with concave utility cannot plausibly explain observed levels of risk aversion over small stakes without implying absurdly high risk aversion over large stakes.
• B. Merton’s model of credit risk
  Merton’s model of credit risk is a structural framework in finance that values a firm’s equity as a call option on its assets to assess the probability of default and price corporate debt.
• C. Merton’s jump-diffusion model
  Merton’s jump-diffusion model is a financial model that extends the Black–Scholes framework by incorporating sudden, random price jumps in addition to continuous diffusion to better capture real-world asset price dynamics.
• D. Lucas asset pricing model
  The Lucas asset pricing model is a foundational rational expectations framework in macro-finance that explains asset prices through representative-agent intertemporal consumption choices under uncertainty.
• E. Burkholder–Davis–Gundy inequalities
  The Burkholder–Davis–Gundy inequalities are fundamental results in stochastic analysis that provide two-sided bounds relating the moments of martingales to the moments of their quadratic variation.
• F. None of above. chosen