The present paper considers a class of financial market with transaction costs and constructs a geometric no-arbitrage analysis frame. Then, this paper arrives at the fact that this financial market is of no-arbitrage if and only if the curvature 2-form of a specific connection is zero....

Value at Risk (VaR) is used to illustrate the maximum potential loss under a given confidence level, and is just a single indicator to evaluate risk ignoring any information about income. The present paper will generalize one-dimensional VaR to two-dimensional VaR with income-risk double...

Robust Portfolio Modeling (RPM) Theory is a decision-support methodology to analyze multiple criteria project portfolio problems. Liesioa et al [17] generalized RPM based on the appendix information, and studied the characteristics of non-inferior solution sets, but they did not compare the...

Value at Risk (VaR) is used to illustrate the maximum potential loss under a given confidence level, and is just a single indicator to evaluate risk ignoring any information about income. The present paper will generalize one-dimensional VaR to two-dimensional VaR with income-risk double...

The present paper considers a class of financial market with transaction costs and constructs a geometric no-arbitrage analysis frame. Then, this paper arrives at the fact that this financial market is of no-arbitrage if and only if the curvature 2-form of a specific connection is zero....

The classical APT model is of the form r j - E(r j) = beta j(I - EI) + epsilon j, where r j - E(r j) is the earning deviation (called basic ariance-profit) of the security j, I is a common factor. This paper considers the impact on the securities return caused by the skewness and kurtosis of the...

Robust Portfolio Modeling (RPM) Theory is a decision-support methodology to analyze multiple criteria project portfolio problems. Liesioa et al [17] generalized RPM based on the appendix information, and studied the characteristics of non-inferior solution sets, but they did not compare the...

The classical APT model is of the form rj − E(rj) = Øj (I − EI ) +ε , where rj − E(rj) is the earning deviation (called basic ariance-profit) of the security j, I is a common factor. This paper considers the impact on the securities return caused by the skewness and kurtosis of the stock...

The classical APT model is of the form r j - E(r j) = beta j(I - EI) + epsilon j, where r j - E(r j) is the earning deviation (called basic ariance-profit) of the security j, I is a common factor. This paper considers the impact on the securities return caused by the skewness and kurtosis of the...