Diplomarbeit, 2008
90 Seiten, Note: 1,8
1 Introduction
1.1 Problem Definition
1.2 Procedure
2 Basics
2.1 Definition of Certificates
2.2 Components of Certificates
2.2.1 Fixed Income Securities
2.2.2 Stocks
2.2.3 Standard Derivatives
2.2.3.1 Options
2.2.3.2 Futures
2.2.4 Exotic Options
3 Benefits of Bonus Certificates
3.1 Investors
3.2 Issuers
3.3 The German Bonus Certificates Market
4 Characteristics of Bonus Certificates
4.1 Description of Bonus Certificates
4.1.1 Underlying
4.1.2 Conversion Ratio
4.1.3 Barrier
4.1.4 Bonus Level
4.1.5 Maturity
4.1.6 Default Risk
4.1.7 Costs
4.2 Design of Bonus Certificates
4.2.1 Zero-Strike-Call
4.2.2 Down-and-Out Put
4.2.3 Payoff-Profiles
4.3 Pricing of Bonus Certificates
4.3.1 Black-Scholes-Model
4.3.2 Underlying
4.3.3 Volatility
4.3.4 Dividends
4.3.5 Interest Rate
4.3.6 Maturity
4.3.7 Divergence of Pricing: Fair Value – Secondary Market
4.4 Taxation
4.5 Special Forms of Bonus Certificates
4.5.1 Capped Bonus Certificates
4.5.2 Quanto Bonus Certificates
4.5.3 Reverse Bonus Certificates
4.5.4 Multi Bonus Certificates
5 Empirical Analysis
5.1 Dresdner Bonus-Barrier-Certificate I
5.1.1 Description
5.1.2 Design
5.1.3 Pricing
5.1.4 Taxation
5.2 AGI Bonus Barrier Fund
5.2.1 Description
5.2.2 Design
5.2.3 Pricing
5.2.4 Taxation
5.3 Comparison: Dresdner Bonus-Barrier Certificate – AGI Bonus Barrier
5.4 Impact of current Stock Exchange Collapse on Bonus Certificates
6 Conclusion
The diploma thesis aims to provide an extensive overview of the Bonus Certificates investment segment. It focuses on the conception, structure, and pricing of these financial products to develop a practical investment guideline. By analyzing embedded option components and relevant input factors, the thesis helps investors better understand the valuation of these complex derivatives, particularly in volatile market situations.
4.2.2 Down-and-Out Put
Down-and-Out Puts (DaOP) are a type of barrier options (Gerhardt 2006). The value of this exotic option depends on following fact: For a Down-and-Out Put, a lower barrier is specified. If the spot price falls below this lower barrier during the life of the option, the option may ceases to exist.
Thus the value of a Down-and-Out Put at maturity is defined as follows (Jarrow and Turnbull 1996):
This may help to understand the valuation of this complex option. Consider the Down-and-Out Put option that matures at date T with strike price K and barrier B. If the barrier B has not been crossed (S(t) ≥ B), then I=1 and the exotic option would nearly have the payoff of a normal put option which will have an intrinsic value at expiry equal to the bonus level minus the final index level. The strike price K is equal to the bonus level of the Bonus Certificate, whereas the barrier B complies with the threshold of the certificate.
If the barrier has been penetrated (S (t) ≤ B), then I=0 and the value of the option is zero, regardless of the level of the underlying asset price. Compared to ordinary put options, Down-and-Out Puts are much cheaper because their value is endangered by a knock-out scenario (Götte 2007). So issuers can provide more attractive bonus and risk buffer features than put options can do. It is difficult to identify the value driver respectively Greeks of a Down-and-Out Put because many factors imply the valuation.
1 Introduction: Defines the problem regarding lack of transparency for private investors and outlines the thesis procedure.
2 Basics: Explains fundamental definitions, components like fixed income securities and derivatives, and introduces the concept of certificates.
3 Benefits of Bonus Certificates: Analyzes the advantages for investors through improved risk-return profiles and discusses the issuer's perspective.
4 Characteristics of Bonus Certificates: Details specific features including underlying assets, barriers, conversion ratios, pricing, taxation, and specialized variations like Capped and Quanto certificates.
5 Empirical Analysis: Conducts a practical case study comparing a specific Dresdner certificate and the AGI Bonus Barrier Fund, evaluating performance and tax implications.
6 Conclusion: Summarizes the complexity of the product structure and reinforces the importance of assessing risk-return profiles for successful investment.
Bonus Certificates, Retail Certificates, Structured Products, Down-and-Out Put, Barrier Options, Black-Scholes Model, Financial Derivatives, Risk-Return Profile, Underlying Asset, Maturity, Issuer Default Risk, Volatility, Taxation, Capital Protection, Pricing Transparency
The thesis provides an in-depth analysis of Bonus Certificates as a structured financial product, focusing on their components, valuation, and suitability for private investors.
The central themes include the design of Bonus Certificates using exotic options, pricing factors such as volatility and dividends, risk assessment, and the impact of the German tax reform.
The goal is to provide investors with a comprehensive overview and a practical guideline for dealing with Bonus Certificates, specifically highlighting how to evaluate their structure and pricing.
The work utilizes a combination of theoretical analysis based on standard financial models (like Black-Scholes) and an empirical analysis of specific investment products to illustrate real-world performance.
The main part covers detailed product characteristics, the integrated option components (Zero-Strike-Call and Down-and-Out Put), valuation drivers, taxation, and empirical observations of certificate performance.
Key terms include Bonus Certificates, barrier options, financial engineering, risk-return optimization, and pricing transparency.
The Down-and-Out Put is a crucial exotic component that defines the "bonus" structure; its value is highly sensitive to the proximity of the barrier and market volatility, effectively knocking out the certificate if the barrier is breached.
The Zero-Strike-Call tracks the performance of the underlying asset up to the maturity date, serving as one of the two core components that enable the specific payoff profiles associated with Bonus Certificates.
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