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Simulation study on option pricing under jump diffusion models
Title
Simulation study on option pricing under jump diffusion models.
Creator
Rodrigues, Justin, Long, Hongwei, Charles E. Schmidt College of Science, Department of Mathematical Sciences
Abstract/Description
The main objective of this thesis is to simulate, evaluate and discuss several methods for pricing European-style options. The Black-Scholes model has long been considered the standard method for pricing options. One of the downfalls of the Black-Scholes model is that it is strictly continuous and does not incorporate discrete jumps. This thesis will consider two alternate Levy models that include discretized jumps; The Merton Jump Diffusion and Kou's Double Exponential Jump Diffusion. We...
Show moreThe main objective of this thesis is to simulate, evaluate and discuss several methods for pricing European-style options. The Black-Scholes model has long been considered the standard method for pricing options. One of the downfalls of the Black-Scholes model is that it is strictly continuous and does not incorporate discrete jumps. This thesis will consider two alternate Levy models that include discretized jumps; The Merton Jump Diffusion and Kou's Double Exponential Jump Diffusion. We will use each of the three models to price real world stock data through software simulations and explore the results.Keywords: Levy Processes, Brownian motion, Option pricing, Simulation, Black-Scholes, Merton Jump Diffusion, Kou, Kou's Double Exponential Jump Diffusion.
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Date Issued
2013
PURL
http://purl.flvc.org/fau/fd/FA0004051
Subject Headings
Finance -- Mathematical models, Levy processes, Prices -- Econometric models, Statistical physics, Stochastic processes, Valuation -- Econometric models
Format
Document (PDF)
Revisiting the methodology and application of Value-at-Risk
Title
Revisiting the methodology and application of Value-at-Risk.
Creator
Chung, Kyong., Charles E. Schmidt College of Science, Department of Mathematical Sciences
Abstract/Description
The main objective of this thesis is to simulate, evaluate and discuss three standard methodologies of calculating Value-at-Risk (VaR) : Historical simulation, the Variance-covariance method and Monte Carlo simulations. Historical simulation is the most common nonparametric method. The Variance-covariance and Monte Carlo simulations are widely used parametric methods. This thesis defines the three aforementioned VaR methodologies, and uses each to calculate 1-day VaR for a hypothetical...
Show moreThe main objective of this thesis is to simulate, evaluate and discuss three standard methodologies of calculating Value-at-Risk (VaR) : Historical simulation, the Variance-covariance method and Monte Carlo simulations. Historical simulation is the most common nonparametric method. The Variance-covariance and Monte Carlo simulations are widely used parametric methods. This thesis defines the three aforementioned VaR methodologies, and uses each to calculate 1-day VaR for a hypothetical portfolio through MATLAB simulations. The evaluation of the results shows that historical simulation yields the most reliable 1-day VaR for the hypothetical portfolio under extreme market conditions. Finally, this paper concludes with a suggestion for further studies : a heavy-tail distribution should be used in order to imporve the accuracy of the results for the two parametric methods used in this study.
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Date Issued
2012
PURL
http://purl.flvc.org/FAU/3358328
Subject Headings
Valuation, Econometric models, Prices, Econometric models, Financial risk management, Mathematical optimization, Finance, Mathematical models
Format
Document (PDF)
Essays on investing
Title
Essays on investing.
Creator
Johnson, William Fount III, College of Business, Department of Finance
Abstract/Description
The Market Timing - Buy and Hold (MT-BH) is introduced, tested against widely accepted performance models of market timing and tested if implamentation is possible. The MT-BH metric measures the condition of engaging in market timing strategies relative to buy and hold investing across an equity market. The metric provides an alternative explanation to why market timing results of investors and managers vary through time and across different equity markets. This dissertation examines how the...
Show moreThe Market Timing - Buy and Hold (MT-BH) is introduced, tested against widely accepted performance models of market timing and tested if implamentation is possible. The MT-BH metric measures the condition of engaging in market timing strategies relative to buy and hold investing across an equity market. The metric provides an alternative explanation to why market timing results of investors and managers vary through time and across different equity markets. This dissertation examines how the is correlated with traditional market timing measures of the Treynor and Sharpe ratios over the 1995-2010 time period and how it affects widely used measures of regression based market timing models of Treynor- Mazuy and Henriksson-Merton. The Market Timing - Buy and Hold (MT-BH) metric can be applied to any equity market over any time period to condition the market timing skill of money managers in any equity market around the world. The final accomplishment of this dissertation is to determine if readily available finance and macro-economic variables can help investors determine which years are more favorable to pursue market timing strategies and which years favor buy and hold investing. When real GDP growth rates, inflation rates and PE ratios were low or negative and when dividend yields were high, market timing strategies were favorable across 44 country market indexes from 1994-2008. These results were robust to country level of development, negative market return years and other control variables. The conditions for pursing market timing strategies were time variant and detectable with macro-economic and finance variables. The MT-BH metric allows investors and brokers to determine when to switch from buy and hold investing to a market timing strategy using macro-economic and financial variables and helps to explain why market timing skill of managers is rarely found to be persistent.
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Date Issued
2011
PURL
http://purl.flvc.org/FAU/3183131
Subject Headings
Investment analysis, Stock options, Portfolio management, Finance, Personal, Asset allocation, Assets (Accounting), Prices, Forecasting, Econometric models
Format
Document (PDF)