This paper deals with the problem of pricing equity warrants in a mixed fractional Brownian environment. Based on the quasi-conditional expectation and the Fourier transform, we present the pricing model for equity warrants. Moreover, a hybrid intelligent algorithm, which is based on the Genetic...

Motivated by the empirical evidence of long range dependence in short-term interest rates and considering the long maturities of equity warrants, we propose the fractional Vasicek model to describe the dynamics of the short rate in the pricing environment of equity warrants. Using the partial...

Prospect theory postulates that the utility function is characterized by a kink (a point of non-differentiability) that distinguishes gains from losses. In this paper we present an algorithm that efficiently solves the linear version of the kinked-utility problem. First, we transform the...

For a general Markowitz portfolio selection problem with linear inequality constraints, it is not possible to obtain a closed form solution. The number of parametric intervals and corresponding segments of the efficient frontier is not known a priori. In this paper, we analyze the structure of...

In response to changeful financial markets and investor’s capital, we discuss a portfolio adjusting problem with additional risk assets and a riskless asset based on credibility theory. We propose two credibilistic mean–variance portfolio adjusting models with general fuzzy returns, which...

In this paper, we discuss the valuation of equity warrants in the geometric fractional Brownian environment based on the equilibrium condition. Using the conditional expectation we present a fractional pricing model for equity warrants and analyze the influence of the Hurst parameter. Then we...

This paper considers the hedging problem of a portfolio composed of raw materials and a commodity. A new theoretical model is presented to manage the risk exposure of the portfolio under the mark-to-market risk. Moreover, we employ the Lemke algorithm to obtain the optimal hedging strategy. We...

A single-period portfolio selection theory provides optimal tradeoff between the mean and the variance of the portfolio return for a future period. However, in a real investment process, the investment horizon is usually multi-period and the investor needs to rebalance his position from time to...

Owing to fluctuations in the financial markets from time to time, the rate [lambda] of Poisson process and jump sequence {Vi} in the Merton's normal jump-diffusion model cannot be expected in a precise sense. Therefore, the fuzzy set theory proposed by Zadeh [Zadeh, L.A., 1965. Fuzzy sets....