Investments in money and capital markets involve different loss potentials that market participants should be able to manage. Below follows an overview and comparison of selected strategies to manage these risks. Portfolio insurance (PI) strategies were developed in the 1980s. They are used to hedge portfolios or individual investments against price losses. The volume of assets hedged with these strategies is significant. Different forms of individual strategies have developed over the years. Risk quantification and Value at Risk (VAR) strategies emerged around the same time. Risks of individual investments or portfolios were measured and different strategies were developed to take them into account in Value at Risk optimised portfolios (VaRoP). VaRoP is a strategy that calculates an optimal portfolio taking into account a given or permissible maximum VAR.
Both strategies are intended to protect portfolios from losses in value. Their similarities and differences as well as their successes are presented and summarised in this paper. Their applicability in practice is also examined.
Table of Contents
1. Introduction
2. Portfolio Insurance
2.1 Stop-loss strategy
2.2 Synthetic put strategy
2.3 Constant-Proportion-Portfolio-Insurance
3. VAR and VaRoP
4. Comparison
4.1 Stop Loss and VAR / VaRoP
4.2 CPPI and VAR / VaRoP
5. Summary and outlook
6. Appendix: Assumptions and discussion
6.1 Discussion of assumptions
7. Bibliography
Objectives and Topics
The primary objective of this paper is to provide an overview and comparative analysis of portfolio insurance (PI) strategies and Value at Risk optimised Portfolio (VaRoP) strategies, evaluating their mechanisms for managing market risks and their practical applicability.
- Theoretical foundations of portfolio insurance strategies (SLS, SPI, CPPI).
- Methodological approach of risk quantification through Value at Risk (VAR).
- Comparative analysis of risk management mechanisms across different strategies.
- Examination of the assumptions underlying these financial models in real-market conditions.
Excerpt from the Book
Constant-Proportion-Portfolio-Insurance
In constant proportion portfolio insurance (CPPI) for stocks or other forms of investment, market participants specify a minimum value for the portfolio. This minimum value is the floor and is smaller than the portfolio value in t = 0. The floor increases by a certain percentage during the hedging period.
The difference between the portfolio value and the floor is the cushion. This value is variable and results from the dynamic adjustment of the portfolio from formula 2:
Formula 2: Exposure of Constant Proportion Portfolio Insurance
Et = m * Qt , and Qt = Vt - Gt , 0 < Gt
with: Et = Exposure in t; m = multiplier; Qt = Cushion in t; Vt = Value of the hedged portfolio in t; Gt = Floor in t
The exposure Et is the proportion of the portfolio in risky securities. If the value of the portfolio increases and Et > Et-1, then the shares of the risky positions are expanded according to formula 2. Here, stocks are bought and interest-bearing securities, ideally zero-coupon bonds, are sold.
In the event of price losses of the portfolio and/or increases in the value of the floor, if Et < Et-1, the risky positions are reduced accordingly. Stocks are sold and interest-bearing securities, at best zero-coupon bonds, are bought.
Summary of Chapters
Introduction: Provides a high-level overview of portfolio insurance and Value at Risk strategies developed in the 1980s for managing market risk.
Portfolio Insurance: Defines the core concepts of programme trading and introduces the main insurance strategies: stop-loss, synthetic put, and constant proportion.
VAR and VaRoP: Explains the calculation of Value at Risk and details how the VaRoP strategy optimizes portfolios based on permissible risk limits.
Comparison: Evaluates the similarities and differences between stop-loss, synthetic put, CPPI, and VaRoP, illustrating how they control risk.
Summary and outlook: Concludes that these strategies remain essential for modern portfolio management and discusses the potential for VaRoP integration.
Appendix: Assumptions and discussion: Outlines the theoretical market assumptions required for these models and discusses their validity in real-world scenarios.
Bibliography: Lists the academic sources and financial literature referenced throughout the paper.
Keywords
Portfolio Insurance, Value at Risk, VaRoP, CPPI, Stop-loss strategy, Synthetic put, Risk Management, Market Volatility, Asset Allocation, Financial Securities, Hedging, Investment Strategy, Capital Markets, Portfolio Theory, Efficient Market Theory.
Frequently Asked Questions
What is the primary focus of this paper?
The paper focuses on comparing various portfolio insurance strategies and Value at Risk optimised Portfolio (VaRoP) strategies to determine how they protect against market losses.
What are the main categories of strategies discussed?
The study covers Portfolio Insurance (PI) strategies, including stop-loss (SLS), synthetic put (SPS), and constant proportion (CPPI), alongside VaRoP.
What is the core research objective?
The objective is to present the similarities and differences between these strategies and examine their practical applicability for investors.
Which mathematical methods are utilized?
The strategies use formulas such as put-call parity for option valuation and the exposure formula for CPPI, as well as the calculation of VAR using volatility and confidence intervals.
What does the main body address?
The main body details the mechanics of each strategy, provides formulas for their implementation, and offers a comparative table summarizing their key features.
Which keywords define this work?
Key terms include Portfolio Insurance, Value at Risk, VaRoP, CPPI, Hedging, Asset Allocation, and Market Volatility.
How does the CPPI strategy calculate the exposure?
CPPI calculates exposure (Et) by multiplying a multiplier (m) by the cushion (Qt), where the cushion is the difference between the total portfolio value and a specified floor.
What is the role of the multiplier in CPPI?
The multiplier determines the extent of purchases and sales; a larger multiplier leads to more significant adjustments in the portfolio composition.
Why is the "Appendix: Assumptions and discussion" section important?
This section is crucial because it tests the realism of the models by evaluating whether theoretical assumptions, such as arbitrage-free markets and divisibility of securities, hold true in reality.
- Arbeit zitieren
- Dr. Ralf Hohmann (Autor:in), 2021, Portfolio Insurance and VaRoP. A Comparison, München, GRIN Verlag, https://www.grin.com/document/1012495
