Bachelorarbeit, 2016
29 Seiten, Note: 1.7
1 Introduction
2 Overview of Portfolio Insurance
2.1 Origins
2.2 Using Portfolio Insurance to Manage Exposure to Market Risk
3 Theoretical Framework for Protective and Synthetic Put
3.1 Option Pricing
3.2 Protective Put
3.3 Synthetic Put
4 Evaluation of Option-Based Portfolio Insurance
4.1 Refinements and Considerations
4.2 Advantages and Disadvantages of Protective Put and Synthetic Put
5 Conclusion
The primary objective of this thesis is to analyze the efficiency, performance, and practical implementation challenges of Option-Based Portfolio Insurance (OBPI) strategies. The research aims to evaluate the differences between Protective Put (PP) and Synthetic Put (SP) strategies, examining their theoretical foundations and real-world applicability.
3.2 Protective Put
This approach to PI utilizes the properties of option contracts to create an asymmetric payoff structure of the portfolio. The strategy is implemented by holding a long position in a stock portfolio and a long position in a put option contract on the same stock portfolio.
S0 denotes the initial investment. The payoff from the stock position moves linearly with changes in stock price S. The value of the put option with strike price K is subject to the boundary conditions max(K - S, 0). If the stock price at maturity lies above the strike, the option expires worthless. If the stock trades below the strike, the value of the position is (K - S). The option value minus the option premium p gives the payoff from the put. Combining both positions leads to the PP strategy. Should the stock position expire below the floor, the value of the option position compensates for the loss. This is downside protection. If the stock position ends up above the floor, the option value is zero and upside participation is granted. Although upside participation is unlimited it is always lower than an uninsured stock investment by the option premium p.
1 Introduction: This chapter introduces the concept of portfolio insurance as a method for risk-averse investors to limit downside risk while maintaining upside potential.
2 Overview of Portfolio Insurance: This section provides the historical context of portfolio insurance and explains how it serves as a tool to manage exposure to systematic market risk.
3 Theoretical Framework for Protective and Synthetic Put: This chapter details the option pricing theory relevant to portfolio insurance and describes the mechanical construction of protective and synthetic put strategies.
4 Evaluation of Option-Based Portfolio Insurance: This part assesses the performance of these strategies, considering practical constraints, costs, and the implications of market volatility.
5 Conclusion: The final chapter summarizes the findings, highlighting the inherent tradeoffs between the strategies and the dependency on specific investor requirements and market conditions.
Portfolio Insurance, Option-Based Portfolio Insurance, Protective Put, Synthetic Put, Black-Scholes-Merton, Delta Hedging, Market Risk, Risk Aversion, Downside Protection, Volatility Risk, Transaction Costs, Asymmetric Payoff, Financial Derivatives, Asset Allocation, Hedging.
The thesis investigates Option-Based Portfolio Insurance (OBPI) strategies, specifically analyzing how investors can use protective and synthetic puts to manage market risk while maintaining participation in equity market gains.
The work covers theoretical option pricing models, the mechanics of portfolio replication, practical constraints in implementation, and the comparative performance of static versus dynamic hedging strategies.
The goal is to determine the efficiency of OBPI strategies and to evaluate which approach—protective or synthetic puts—is better suited for different investor profiles under real-world market conditions.
The study relies on theoretical analysis based on the Black-Scholes-Merton model, alongside a comparative analysis of strategy characteristics and an assessment of transaction costs and market performance impacts.
The main body examines the construction of both strategies, the role of volatility estimates, the impact of transaction costs on dynamic replication, and the historical lessons learned from market crashes like the 1987 crash.
Key terms include Portfolio Insurance, Protective Put, Synthetic Put, Delta Hedging, and Black-Scholes-Merton framework.
Because the protective put is a static strategy that does not require rebalancing during the investment period; the payoff is determined solely by the stock price at the maturity date of the option.
The major challenge is the need for continuous or frequent dynamic rebalancing to maintain delta neutrality, which results in significant transaction costs and sensitivity to stock price jumps and volatility misestimates.
The crash serves as a critical case study illustrating the practical limitations of OBPI, particularly regarding liquidity problems and the failure of dynamic hedging when market volatility exceeds expected parameters.
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