A moment matching approach to log-normal portfolio optimization

2016 ◽  
Vol 13 (4) ◽  
pp. 501-520
Author(s):  
Elçin Çetinkaya ◽  
Aurélie Thiele
Keyword(s):  
Portfolio Optimization ◽  
Moment Matching ◽  
Log Normal

A General Accurate Approximation for Pricing and Hedging Basket Options with Exact Moment Matching

2019 ◽  
Keyword(s):  
Normal Distribution ◽  
Moment Matching ◽  
Option Prices ◽  
Accurate Approximation ◽  
Basket Options ◽  
Basket Option ◽  
Analytical Formulas ◽  
Exact Moment ◽  
Log Normal ◽  
Log Normal Distribution

This article provides a new methodology for pricing and hedging basket options. The authors approximate the basket by using the shifted log-normal distribution with the polynomial expansion, which can match exactly any required m moments of the basket, to give quasi-analytical formulas for the prices and hedging parameters of basket options. Numerical simulations show that the methodology provides superior results for basket option prices and hedging parameters. This methodology works well not only for regular baskets but also for negative-weight baskets and negative-value baskets. Compared with the best available methods, the authors’ methodology appears to perform better.

Exploration portfolio optimization for increase of investment effectiveness

2017 ◽  
pp. 10-13
Author(s):  
A.A. Vashkevich ◽  
◽  
V.A. Shashel ◽  
A.S. Bochkov ◽  
V.V. Zhukov ◽  
...  
Keyword(s):  
Portfolio Optimization
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