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Optimal Consumption/Investment and Retirement with Necessities and Lux…

박형빈 0 783
구분 금융수학 세미나
일정 2018-10-23 17:00 ~ 18:00
강연자 신용현 (숙명여자대학교)
기타
담당교수 박형빈
Talk1: Optimal Consumption and Portfolio Selection in the Presence of a Luxury Good We study optimal consumption and portfolio policies when there exist two categories of goods, necessities and luxuries. We derive a closed form solution for optimal consumption of each good and the portfolio. We show that the agent consumes mostly necessities when her wealth level is low but luxuries when the wealth level is high enough. We also show that her revealed relative risk aversion is close to the elasticity of marginal utility of necessities when wealth is low, but it decreases and approaches the elasticity of marginal utility of luxuries as wealth increases. This is a joint work with Prof. Hyeng Keun Koo (Ajou Univ.), Dr. Jung Lim Koo (Univ. of Texas, Austin), and Prof. Gyoocheol Shim (Ajou Univ.). Talk2: Optimal Consumption/Investment and Retirement with Necessities and Luxuries We study an optimal consumption of necessity and luxury, investment, and voluntary retirement choice model. The utility function in the objective function is given by the weighted sum of a quadratic utility function and a HARA utility function. We use the martingale method to derive a closed form solution for optimal consumption of necessity and luxury, and investment. We also give some numerical implications. This is a joint work with Prof. Hyeng Keun Koo (Ajou Univ.), and Prof. Kum-Hwan Roh (Hannam Univ.).

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Research Institute of Mathematics
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