risk aversion function 中文意思是什麼
risk aversion function
解釋
厭惡風險函數-
In chapter two, the general model of the optimum investment, consumption and periodical insurance payable at death for life is discussed and its corresponding optimum control question is solved. the optimum strategy can be got through the corresponding hib ( hamilton - jacobi - bellman ) equation. as to the crra ( constant relative risk aversion ), a sort of utility function, indicatively, the optimum investment process, consumption process and the periodical insurance payable at death for life purchasing process can be gained with the feedback form
第二章討論最優消費、投資、定期人壽死亡保險的一般模型，解決了對應的最優控制問題，最優策略可通過求解hjb （ hamilton一jaeobi一bellman ）方程得到，當效用函數為crra （常數相對風險厭惡）類型時，顯式地得到具有反饋形式的最優投資過程、消費過程及定期人壽死亡保險購買過程。 -
In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied
首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。 -
Explicit solutions for the optimal consumption and portfolio of the hyperbolic absolute risk aversion function family
雙曲型絕對風險厭惡函數的最優消費與投資組合的顯示解 -
On along using two assumptions in portfolio theory : market efficient and investors are risk - aversion, this thesis constructs a multi - cycle portfolio model and works out the investor ' s investment strategy, with the analysis of investor ' s risk preference and the function of investor ' s risk - aversion and making use of dynamic programming optimization method
在沿用了標準資產組合理論市場有效率和投資者風險厭惡型條件與假設的基礎上，構造了一個多周期的資產組合模型，通過對投資者的風險偏好的分析，結合投資者的風險厭惡函數，利用動態規劃的優化方法得出了投資者的最優選擇策略。
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