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...

The main objective of this research is to optimize the stock portfolio of investment companies operating in the field of petrochemical and refining industries through minimizing risk with respect to the expected return. In this regard, first of all, the compositions of sample firm's portfolios were investigated during 2013 to 2016 and high-weight industries were selected. Then, the risk of retu...

Recent studies in financial economics suggest that technical analysis may have merit to predictability of stock. When attempting to create an efficient portfolio of stocks, there are numerous factors to consider. The problem is that the evaluation involves many qualitative factors, which causes most approximations to go off track. This paper presents a genetic programming approach to portfolio ...

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...

   The present study is an attempt toward evaluating the performance of portfolios using mean-variance-skewness model with negative data. Mean-variance non-linear framework and mean-variance-skewness non- linear framework had been proposed based on Data Envelopment Analysis, which the variance of the assets had been used as an input to the DEA and expected return and skewness were the output. C...

This study examines the comparison of stock performance as measured using return and risk portfolios ethical non-ethical companies on Indonesia Stock Exchange. Portfolio formation a single index model during 2016-2019. The data analysis technique uses an independent sample t-test with significance level 5%. results showed that there were no differences in portfolio risk. average is 0.22% for st...

this paper presents dynamic portfolio model based on the merton's optimal investment-consumption model, which combines dynamic synthetic put option using risk-free and risky assets. this paper is extended version of methodological paper published by yuan yao (2012) cite{26}. because of the long history of the development of foreign financial market, with a variety of financial derivatives, the ...

We present an expected utility maximisation framework for optimally controlling a portfolio of options. By combining the replication approach to option pricing with ideas of the martingale approach to (stock) portfolio optimisation we arrive at an explicit solution of the option portfolio problem. Its characteristics are illustrated by some speciic examples. As an application, we calculate an o...

Let the random (stock market) vector X 2 0 be drawn according to a known distribution function F(x), x E R ". A log-optimal portfolio b* is any portfolio b achieving maximal expected log return W* = sup,, E In b'X, where the supremum is over the simplex b 2 0, Cr, b, = 1. An algorithm is presented for finding b*. The algorithm consists of replacing the portfolio b by the expected portfolio b', ...