Endogenous Credit, Business Cycle, and Portfolio Selection

Kyoung Jin Choi (), Hyeng Keun Koo (), Byung Hwa Lim () and Jane Yoo ()
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Kyoung Jin Choi: Haskayne School of Business, University of Calgary, Calgary, Alberta T2N 1N4, Canada
Hyeng Keun Koo: Department of Financial Engineering, School of Business, Ajou University, Suwon 16499, Republic of Korea; Department of Industrial and Management Engineering, POSTECH, Pohang 37673, Republic of Korea
Byung Hwa Lim: Department of Fintech, SKK Business School, Sungkyunkwan University, Seoul 03063, Republic of Korea
Jane Yoo: Department of Financial Engineering, School of Business, Ajou University, Suwon 16499, Republic of Korea

Operations Research, 2024, vol. 72, issue 3, 871-884

Abstract: We study a continuous-time model of consumption and portfolio selection of an agent with a limited ability to commit to a debt contract in which the credit limit is endogenously determined. We consider the case where the agent borrows against future income and/or collateral assets. We also study the determination of the credit limit in a general equilibrium model. We derive the credit limit in closed form. The credit limit is smaller than the natural limit because of limited commitment and an increasing function of both income and the collateral price. We extend the baseline model to the case with a regime switch and show that the credit limit is cyclical; it is lower (higher) when the Sharpe ratio is high (low). The model predicts that the rich tend to increase the proportion of risky investments in downturns, whereas the poor decrease them.

Keywords: Financial Engineering; endogenous credit; limited commitment; business cycle; consumption and portfolio selection; general equilibrium (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:72:y:2024:i:3:p:871-884

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