Sensitivity Analysis of Asset Flow Differential Equations and Volatility Comparison of Two Related Variables

Numerical Functional Analysis and Optimization, Vol. 30, Nos. 1-2, pp. 82-97, 2009

20 Pages Posted: 11 Jun 2009

See all articles by Ahmet Duran

Ahmet Duran

Istanbul Technical University, Department of Mathematical Engineering; University of Michigan at Ann Arbor

Date Written: 2008

Abstract

In this study I apply forward sensitivity analysis to the dynamical system of nonlinear asset flow differential equations (AFDE). I find that all parameters in AFDE are needed and can be estimated from market prices and net asset values data. Moreover, the market price is the most fluctuating state variable and the coefficient for the trend-based investors' sentiment is the dominant parameter. Furthermore, I define and compare the extreme value based volatilities of market price and net asset value for closed-end funds. I find that the extreme value based volatility of market price is higher than that of net asset value for the vast majority of closed-end funds for both overlapping and non-overlapping cases.

Keywords: parametric sensitivity analysis, extreme value based volatility, nonlinear dynamical systems, numerical solution of differential equations market dynamics, mathematical finance and economics, quantitative finance

JEL Classification: C61, G12, D52, C12, C63, C81

Suggested Citation

Duran, Ahmet, Sensitivity Analysis of Asset Flow Differential Equations and Volatility Comparison of Two Related Variables (2008). Numerical Functional Analysis and Optimization, Vol. 30, Nos. 1-2, pp. 82-97, 2009. Available at SSRN: https://ssrn.com/abstract=1417623

Ahmet Duran (Contact Author)

Istanbul Technical University, Department of Mathematical Engineering ( email )

Ayazaga Kampusu
Fen Edebiyat Fakultesi
İstanbul
Turkey

HOME PAGE: http://web.itu.edu.tr/aduran

University of Michigan at Ann Arbor ( email )

500 S. State Street
Ann Arbor, MI 48109
United States

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