This paper investigates the optimal private health insurance contract design problem considering the joint interests of a policyholder and an insurer. They jointly determine the premium of a private health insurance. To better reflect the reality, the illness expenditure is governed by an...

The optimal investment policy for a standard multi-period mean–variance model is not time-consistent because the variance operator is not separable in the sense of the dynamic programming principle. With a nested conditional expectation mapping, we develop an investment model with time...

We propose a new class of risk measures which satisfy convexity and monotonicity, two well-accepted axioms a reasonable and realistic risk measure should satisfy. Through a nonlinear weight function, the new measure can flexibly reflect the investor's degree of risk aversion, and can control the...

In this paper, an optical analysis on the end loss effect of parabolic trough solar collector (PTC) with horizontal north–south axis (PTC-HNSA) is performed, and a method to compensate its end loss effect is presented. The calculation formulae for the optical end loss ratio and the increased...

General multiperiod optimal consumption and investment problems with proportional transaction costs are investigated in this paper, a GARCH-type process is used to model the risky asset’s return series so that its time-varying moments and conditional heteroskedasticity can be properly...

For our introduced mixed-integer quadratic stochastic program with fixed recourse matrices, random recourse costs, technology matrix and right-hand sides, we study quantitative stability properties of its optimal value function and optimal solution set when the underlying probability...