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This very general approach is valid in areas such as physics, chemistry, computer science etc. In finance , the Monte Carlo method is used to simulate the various sources of uncertainty that affect the value of the instrument , portfolio or investment in question, and to then calculate a representative value given these possible values of the ...
An interest rate model could be added and would lead to a portfolio containing bonds of different maturities. Some authors have added a stochastic volatility model of stock market returns. Bankruptcy can be incorporated. This problem was solved by Karatzas, Lehoczky, Sethi and Shreve in 1986. [12]
The model is mainly in use for actuarial work and asset liability management. Because of the stochastic properties of that model it is mainly combined with Monte Carlo methods. Wilkie first proposed the model in 1986, in a paper published in the Transactions of the Faculty of Actuaries. [1] It has since been the subject of extensive study and ...
Financial modeling is the task of building an abstract representation (a model) of a real world financial situation. [1] This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or portfolio of a business, project, or any other investment.
Returns-based style analysis (RBSA) is a statistical technique used in finance to deconstruct the returns of investment strategies using a variety of explanatory variables. The model results in a strategy's exposures to asset classes or other factors, interpreted as a measure of a fund or portfolio manager's investment style .
Calculating option prices, and their "Greeks", i.e. sensitivities, combines: (i) a model of the underlying price behavior, or "process" - i.e. the asset pricing model selected, with its parameters having been calibrated to observed prices; and (ii) a mathematical method which returns the premium (or sensitivity) as the expected value of option ...
Morningstar is known for its analysis of long-only mutual funds, but the Brinson-Fachler analysis is also applicable to hedge ranking funds. [10] The Brinson model performance attribution can be described as "arithmetic attribution" in the sense that it describes the difference between the portfolio return and the benchmark return.
Quantitative analysis is the use of mathematical and statistical methods in finance and investment management. Those working in the field are quantitative analysts ( quants ). Quants tend to specialize in specific areas which may include derivative structuring or pricing, risk management , investment management and other related finance ...