A simple valuation model with time varying investment opportunities is developed and estimated. The model assumes that the investment opportunity set is completely described by the real interest rate and the maximum Sharpe ratio, which follow correlated Ornstein-Uhlenbeck processes. The model parameters and time series of the state variables are estimated using US Treasury bond yields and expec...

In this paper, we used several elaborate return-to-risk methods to investigate the risk-adjusted performances of five soft commodities. Regarding only level risk, found that cocoa had highest risk losses, followed by orange juice. Cotton and coffee lowest losses. However, according output, cotton was worst asset in which invest because it negative average returns. contradistinction, sugar a rel...

Given the return series for a set of instruments, a trading strategy is a switching function that transfers wealth from one instrument to another at specified times. We present efficient algorithms for constructing (ex-post) trading strategies that are optimal with respect to the total return, the Sterling ratio and the Sharpe ratio. Such optimal strategies are useful as benchmarks, and for ide...

This thesis consists of three essays in capital markets. The first essay presents a dynamic asset pricing model with heterogeneously informed agents. Unlike previous research, the general case where differential information leads to the problem of "forecasting the forecasts of others" and to non-trivial dynamics of higher order expectations is studied. In particular, it is proved that the model...

To circumvent the limitations of the tests for coefficients of variation and Sharpe ratios, we develop the mean-variance-ratio statistic to test the equality of the meanvariance ratios and prove that our proposed statistic is uniformly most powerful unbiased. In addition, we illustrate the applicability of our proposed test to compare the performances of stock indices.

We have carried out a detailed comparison of the statistical properties and the relationships between a set of five performance measures using 14 UK based Investment Trusts over a sample period ranging from 1980 to 2001. Our results suggest very clearly that there is almost no difference between Jensen’s Alpha, the Treynor-Mazuy (TM) measure and the Positive Period Weighting(PPW) measure over o...

Abstract: The Sharpe ratio, which is defined as the ratio of the excess expected return of an investment to its standard deviation, has been widely cited in the financial literature by researchers and practitioners. However, very little attention has been paid to the statistical properties of the estimation of the ratio. Lo (2002) derived the √ n-normality of the ratio’s estimation errors for r...