Pricing the risk–transfer financial instruments via Monte Carlo methods
نویسنده
چکیده
Interim Reports on work of the International Institute for Applied Systems Analysis receive only limited review. Views or opinions expressed herein do not necessarily represent those of the Institute, its National Member Organizations, or other organizations supporting the work. Abstract The paper is devoted to nding the present value of catastrophe bonds using a combination of Monte Carlo and Iterative Stochastic Equation methods. Apart from general methodology, three practical examples of catastrophe bonds connected with earthquakes are also considered. For these examples algorithms in pseudocode with procedures originated from catastrophe simulation software are provided. The methodology presented in this paper may be also used for other types of risk{transfer nancial instruments. Some of these possibilities are described.
منابع مشابه
Hamiltonian and Potentials in Derivative Pricing Models: Exact Results and Lattice Simulations
The pricing of options, warrants and other derivative securities is one of the great success of financial economics. These financial products can be modeled and simulated using quantum mechanical instruments based on a Hamiltonian formulation. We show here some applications of these methods for various potentials, which we have simulated via lattice Langevin and Monte Carlo algorithms, to the p...
متن کاملConvergence Studies on Monte Carlo Methods for Pricing Mortgage-Backed Securities
Monte Carlo methods are widely-used simulation tools for market practitioners from trading to risk management. When pricing complex instruments, like mortgage-backed securities (MBS), strong path-dependency and high dimensionality make the Monte Carlo method the most suitable, if not the only, numerical method. In practice, while simulation processes in option-adjusted valuation can be relative...
متن کاملPricing and Risk Management with High-Dimensional Quasi-Monte Carlo and Global Sensitivity Analysis
We review and apply quasi-Monte Carlo (QMC) and global sensitivity analysis (GSA) techniques to pricing and risk management (Greeks) of representative financial instruments of increasing complexity. We compare QMC vs. standard Monte Carlo (MC) results in great detail, using high-dimensional Sobol’ low-discrepancy sequences, different discretization methods, and specific analyses of convergence,...
متن کاملA Computational Approach to Financial Option Pricing Using Quasi Monte Carlo Methods via Variance Reduction Techniques
In this paper, we consider two types of pricing option in financial markets using quasi Monte Carlo algorithm with variance reduction procedures. We evaluate Asian-style and European-style options pricing based on Black-Scholes model. Finally, some numerical results presented.
متن کاملNew Results on Deterministic Pricing of Financial Derivatives
Monte Carlo simulation is widely used to price complex nancial instruments. Recent theoretical results and extensive computer testing indicate that deterministic methods may be far superior in speed and conndence. Simulations using the Sobol or Faure points are examples of deterministic methods. For the sake of brevity, we refer to a deterministic method using the name of the sequence of points...
متن کامل