In these notes, we present some methods and applications of large deviations to finance and insurance. We begin with the classical ruin problem related to the Cramer’s theorem and give en extension to an insurance model with investment in stock market. We then describe how large deviation approximation and importance sampling are used in rare event simulation for option pricing. We finally focu...

This paper studies a continuous-time market where an agent, having specified an investment horizon and a targeted terminal mean return, seeks to minimize the variance of the return. The optimal portfolio of such a problem is called mean-variance efficient à la Markowitz. It is shown that, when the market coefficients are deterministic functions of time, a mean-variance efficient portfolio reali...

A mathematical multi objective model for the selection of a portfolio of investment is presented and its application in the Mexican Stock Exchange (BMV). The multi objective model proposed is based on our mathematical model of linear programming recently published. Our multi object model is developed whereas the e-constrains method, with which the model remains linear and each iteration the SIM...

The study extends research on the impact of commodity futures investments on portfolio performance by incorporating levered futures directly into the optimization problem. Differences in portfolio performance between fully collateralized and levered futures arise primarily in the presence of investment constraints. The attractiveness of portfolios is also affected by differences in commodity in...

Portfolio management is one of the most important areas of research in financial engineering. This paper is concerned with multi period decision problem for financial asset allocation when the rate of borrowing is greater than the rate of lending. Transaction costs as a source of concern for portfolio managers is also considered in this paper. The proposed method of this paper is formulated in ...

Mobile network sector is one of the important sectors in Malaysia which provides the network communication services to the users. The investors can get the return through the investment of the mobile network companies which are listed in Malaysia stock market. However, the investors will be exposed to the risk of loss in the investment. The mean-absolute deviation model is a portfolio optimizat...

We consider the problem of selecting investment components according to two partially opposed measures: the portfolio performance and its risk. We approach this within Markowitz’s model, considering the case of mutual funds market in Europe until July 2010. Comparisons were made on three multi-objective evolutionary algorithms, namely NSGAII, SPEA2 and IBEA. Two well-known performance measures ...

Using data on security holdings of 10,771 institutional investors from 72 different countries, we test whether concentrated investment strategies result in superior abnormal returns to institutional investors. We examine three measures of portfolio concentration: home country, foreign country, and industry concentration and show that portfolio concentration leads to higher abnormal returns of i...

We study how stock return’s predictability and model uncertainty affect a rational buy-and-hold investor’s decision to allocate her wealth for different lengths of investment horizons in the UK market. We consider the FTSE All-Share Index as the risky asset, and the UK Treasury bill as the risk free asset in forming the investor’s portfolio. We identify the most powerful predictors of the stock...

In these notes, we present some methods and applications of large deviations to finance and insurance. We begin with the classical ruin problem related to the Cramer’s theorem and give en extension to an insurance model with investment in stock market. We then describe how large deviation approximation and importance sampling are used in rare event simulation for option pricing. We finally focu...