If only we always knew ahead of time.... The dream of any stock portfolio manager 1 is to allocate stocks in his portfolio in hindsight so as to always reach maximum 2 wealth. With hindsight, over a given time period, the best strategy is to invest into 3 the best performing stock over that period. However, even this appealing strategy is 4 not without regret. Reallocating everyday to the best ...

The optimal strategies for a long-term static investor are studied. Given a portfolio of a stock and a bond, we derive the optimal allocation of the capitols to maximize the expected long-term growth rate of a utility function of the wealth. When the bond has constant interest rate, three models for the underlying stock price processes are studied: Heston model, 3/2 model and jump diffusion mod...

This paper investigates the price adjustment and lead-lag relations between returns on five sizebased portfolios in the Taiwan stock market. It finds evidence that the price adjustment of smallstock portfolios is not slower than that of large-stock portfolios. Additionally, limited evidence supports a positive leading role of large-stock portfolio returns over small-stock portfolio returns. The...

One of the features of a financial market, the stock market, in particular, is the market sentiment which is the overall attitude of investors toward a particular security or financial market. Investors always seek to create a portfolio with minimum risk while maintaining the expected return level. Therefore, perceiving the relationship between the stock returns and markets returns can be helpf...

Let X ∈ R denote a random stock market return vector, where Xj is the value of a one unit investment in stock j at the end of the trading day. We require that Xj ≥ 0 for j = 1, 2, . . . , m, that is, an investor cannot lose more than the invested capital. Let b, bj ≥ 0, ∑m j=1 bj = 1, denote a portfolio, that is, an allocation of investor’s capital across the investment alternatives. Let B deno...

A requirement analysis for a portfolio management in stock trading is presented. This provides a theoretical foundation for a stock trading system. The overall portfolio management tasks include eliciting user profiles, collecting information on the user’s initial portfolio position, monitoring the environment on behalf of the user, and making decision suggestions to meet the user’s investment ...

Portfolio managers are typically constrained by turnover limits, minimum and maximum stock positions, cardinality, a target market capitalization and sometimes the need to hew to a style (such as growth or value). In addition, portfolio managers often use multifactor stock models to choose stocks based upon their respective fundamental data. We use multiobjective evolutionary algorithms (MOEAs)...

The main purpose of this study is the determination of the optimal length of the historical data for the estimation of statistical parameters in Markowitz Portfolio Optimization. We present a trading simulation using Markowitz method, for a portfolio consisting of foreign currency exchange rates and selected assets from the Istanbul Stock Exchange ISE 30, over the period 2001-2009. In the simul...