Abstract
In finance, multiple linear regression models are frequently used to determine the value of an asset based on its underlying traits. We built a regression model to predict the value of the S&P 500 based on economic indicators of gross domestic product, money supply, produce price and consumer price indices. Correlation between the error in this regression model and the S&P’s volatility index (VIX) provides an efficient way to predict when large changes in the price of the S&P 500 may occur. As the true value of the S&P 500 deviates from the predicted value, obtained by the regression model, a growth in volatility can be seen that implies models like the Black-Scholes will be less reliable. During these periods of changing volatility we suggest that the user apply a regime switching approach and/or seek alternative prediction methods.
Original language | American English |
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Journal | International Journal of Mathematics Trends and Technology |
Volume | 28 |
DOIs | |
State | Published - Dec 2015 |
Keywords
- partial differential equations
- regression analysis
- stochastic
- financial mathematics
Disciplines
- Finance and Financial Management
- Partial Differential Equations