Dynamic Derivative Strategies

This paper studies the optimal investment strategy of an investor who can access not only the bond and the stock markets, but also the derivatives market. We consider the investment situation where, in addition to the usual diffusive price shocks, the stock market experiences sudden price jumps and...

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Main Authors: Liu, Jun, Pan, Jun
Format: Working Paper
Language:en_US
Published: 2003
Online Access:http://hdl.handle.net/1721.1/3548
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author Liu, Jun
Pan, Jun
author_facet Liu, Jun
Pan, Jun
author_sort Liu, Jun
collection MIT
description This paper studies the optimal investment strategy of an investor who can access not only the bond and the stock markets, but also the derivatives market. We consider the investment situation where, in addition to the usual diffusive price shocks, the stock market experiences sudden price jumps and stochastic volatility. The dynamic portfolio problem involving derivatives is solved in closed-form. Our results show that derivatives are important in providing access to the risk and return tradeoffs associated with the volatility and jump risks. Moreover, as a vehicle to the volatility risk, derivatives are used by non-myopic investors to exploit the time-varying opportunity set; and as a vehicle to the jump risk, derivatives are used by investors to disentangle their simultaneous exposure to the diffusive and jump risks in the stock market. In addition, derivatives investing also affects investors' stock position because of the interaction between the two markets. Finally, calibrating our model to the S&P 500 index and options markets, we find sizable portfolio improvement for taking advantage of derivatives.
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spelling mit-1721.1/35482019-04-10T23:47:30Z Dynamic Derivative Strategies Liu, Jun Pan, Jun This paper studies the optimal investment strategy of an investor who can access not only the bond and the stock markets, but also the derivatives market. We consider the investment situation where, in addition to the usual diffusive price shocks, the stock market experiences sudden price jumps and stochastic volatility. The dynamic portfolio problem involving derivatives is solved in closed-form. Our results show that derivatives are important in providing access to the risk and return tradeoffs associated with the volatility and jump risks. Moreover, as a vehicle to the volatility risk, derivatives are used by non-myopic investors to exploit the time-varying opportunity set; and as a vehicle to the jump risk, derivatives are used by investors to disentangle their simultaneous exposure to the diffusive and jump risks in the stock market. In addition, derivatives investing also affects investors' stock position because of the interaction between the two markets. Finally, calibrating our model to the S&P 500 index and options markets, we find sizable portfolio improvement for taking advantage of derivatives. 2003-09-25T19:50:20Z 2003-09-25T19:50:20Z 2003-09-25T19:50:20Z Working Paper http://hdl.handle.net/1721.1/3548 en_US MIT Sloan School of Management Working Paper;4334-02 252837 bytes application/pdf application/pdf
spellingShingle Liu, Jun
Pan, Jun
Dynamic Derivative Strategies
title Dynamic Derivative Strategies
title_full Dynamic Derivative Strategies
title_fullStr Dynamic Derivative Strategies
title_full_unstemmed Dynamic Derivative Strategies
title_short Dynamic Derivative Strategies
title_sort dynamic derivative strategies
url http://hdl.handle.net/1721.1/3548
work_keys_str_mv AT liujun dynamicderivativestrategies
AT panjun dynamicderivativestrategies