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http://ssrn.com/abstract=1417623
 
 

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


Ahmet Duran


University of Michigan at Ann Arbor

2008

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

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.

Number of Pages in PDF File: 20

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

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Date posted: June 11, 2009  

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: http://ssrn.com/abstract=1417623

Contact Information

Ahmet Duran (Contact Author)
University of Michigan at Ann Arbor ( email )
500 S. State Street
Ann Arbor, MI 48109
United States
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