Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Simulation schemes for the Heston model with Poisson conditioning

Exact simulation schemes under the Heston stochastic volatility model (e.g., Broadie-Kaya and Glasserman-Kim) suffer from computationally expensive modified Bessel function evaluations. We propose a new exact simulation scheme without the modified Bessel function, based on the observation that the c

Holy Grail Math 7.5 Rigor 7 ·  January 7, 2023

Information extraction and artwork pricing

Traditional art pricing models often lack fine measurements of painting content. This paper proposes a new content measurement: the Shannon information quantity measured by the singular value decomposition (SVD) entropy of the painting image. Using a large sample of artworks’ auction records and ima

Street Traders Math 4.5 Rigor 6.5 ·  February 16, 2023

Option pricing under the normal SABR model with Gaussian quadratures

The stochastic-alpha-beta-rho (SABR) model has been widely adopted in options trading. In particular, the normal ($β=0$) SABR model is a popular model choice for interest rates because it allows negative asset values. The option price and delta under the SABR model are typically obtained via asympto

Lab Rats Math 7.5 Rigor 4 ·  January 7, 2023

Tighter 'uniform bounds for Black-Scholes implied volatility' and the applications to root-finding

Using the option delta systematically, we derive tighter lower and upper bounds of the Black-Scholes implied volatility than those in Tehranchi [SIAM J. Financ. Math. 7 (2016), 893-916]. As an application, we propose a Newton-Raphson algorithm on the log price that converges rapidly for all price ra

Lab Rats Math 6.5 Rigor 3 ·  February 17, 2023

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