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2004 NTU International Conference on Finance. Comments and Suggestions for 「 Toward option values of near machine precision using Gaussian Quadrature 」 (Chung, Shackleton) Chung-Gee Lin Dept. of Business Mathematics Soochow University. Contributions.
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2004 NTU International Conference on Finance Comments and Suggestions for 「Toward option values of near machine precision using Gaussian Quadrature」 (Chung, Shackleton) Chung-Gee Lin Dept. of Business Mathematics Soochow University
Contributions • Combination of quadrature methods and node-positioning • Use the approximation function to overcome the “curse of dimensionality” • Reduce the distribution error and non-linearity error
Suggestion (1) • Speed-accuracy trade-off for Bermudan’s
Suggestion (2) • The Greeks • Hedge ratios • From the practitioner’s point of view • Speed-accuracy tradeoff comparisons
Suggestion (3) • Is there another polynomial which is better than the Legendre?
Suggestion (4) • Robustness • Different stock price • Different maturity • Different volatility
Suggestion (5) • Footnote 4 disappeared