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Maintaining cost and ruin probability

Author

Listed:
  • Andreas Karathanasopoulos

    (University of Dubai)

  • Chia Chun Lo

    (Georgia State University)

  • Xiaorong Ma

    (University of Macau)

  • Zhenjiang Qin

    (University of Macau)

Abstract

Specialized funds such as charitable trusts do not attach much value to consumption, instead, they pursue to maintain a satisfactory level of spending and avoid ruin to achieve their managerial goals. We employ an objective function tailored for studying ruin probability of a specialized fund, which implies simple analytical conditions to judge if the fund can be operable permanently. We analytically show that even if the fund has fixed portfolio weights and faces both fixed and proportional maintaining cost, there may still exist a positive probability for the fund to maintain operability permanently. Since if the stock is profitable enough, the wealth process has a large positive drift to offset effects of the fixed cost and downside risk. We extend the benchmark model to a case allowing portfolio rebalance between risky assets, and also obtain analytical expressions for optimal portfolio choices and ruin probability. Allowing portfolio selection potentially improves survival probability. Finally, we provide conditions needed to enjoy a positive probability of permanent survival when the fund can invest in a short bond (potentially with a risky asset) with stochastic nominal riskless interest rate.

Suggested Citation

  • Andreas Karathanasopoulos & Chia Chun Lo & Xiaorong Ma & Zhenjiang Qin, 2021. "Maintaining cost and ruin probability," Review of Quantitative Finance and Accounting, Springer, vol. 57(2), pages 759-793, August.
    • Handle: RePEc:kap:rqfnac:v:57:y:2021:i:2:d:10.1007_s11156-021-00960-x
    DOI: 10.1007/s11156-021-00960-x
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    as
    1. Liang, Xiaoqing & Young, Virginia R., 2018. "Minimizing the probability of ruin: Optimal per-loss reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 181-190.
    2. Russ Wermers, 2000. "Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses," Journal of Finance, American Finance Association, vol. 55(4), pages 1655-1703, August.
    3. Byung Hwa Lim & Yong Shin, 2011. "Optimal investment, consumption and retirement decision with disutility and borrowing constraints," Quantitative Finance, Taylor & Francis Journals, vol. 11(10), pages 1581-1592.
    4. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    5. Arie Harel & Jack Clark Francis & Giora Harpaz, 2018. "Alternative utility functions: review, analysis and comparison," Review of Quantitative Finance and Accounting, Springer, vol. 51(3), pages 785-811, October.
    6. Serrano-Cinca, Carlos & Gutiérrez-Nieto, Begoña, 2014. "Microfinance, the long tail and mission drift," International Business Review, Elsevier, vol. 23(1), pages 181-194.
    7. Konstantinides, Dimitrios G. & Li, Jinzhu, 2016. "Asymptotic ruin probabilities for a multidimensional renewal risk model with multivariate regularly varying claims," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 38-44.
    8. B Gutiérrez-Nieto & C Serrano-Cinca & C Mar Molinero, 2009. "Social efficiency in microfinance institutions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 104-119, January.
    9. Albrecher, Hansjorg & Boxma, Onno J., 2004. "A ruin model with dependence between claim sizes and claim intervals," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 245-254, October.
    10. Du, Ke & Fu, Yishu & Qin, Zhenjiang & Zhang, Shuoxun, 2020. "Regime shift, speculation, and stock price," Research in International Business and Finance, Elsevier, vol. 52(C).
    11. Eugene F. Fama & Kenneth R. French, 2010. "Luck versus Skill in the Cross‐Section of Mutual Fund Returns," Journal of Finance, American Finance Association, vol. 65(5), pages 1915-1947, October.
    12. Hong Liu & Mark Loewenstein, 2002. "Optimal Portfolio Selection with Transaction Costs and Finite Horizons," The Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 805-835.
    13. Kenneth R. French, 2008. "Presidential Address: The Cost of Active Investing," Journal of Finance, American Finance Association, vol. 63(4), pages 1537-1573, August.
    14. Munk, Claus & Sorensen, Carsten, 2004. "Optimal consumption and investment strategies with stochastic interest rates," Journal of Banking & Finance, Elsevier, vol. 28(8), pages 1987-2013, August.
    15. Cai, Jun & Dickson, David C.M., 2004. "Ruin probabilities with a Markov chain interest model," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 513-525, December.
    16. Philip H. Dybvig, 1995. "Dusenberry's Ratcheting of Consumption: Optimal Dynamic Consumption and Investment Given Intolerance for any Decline in Standard of Living," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(2), pages 287-313.
    17. Hudon, Marek & Périlleux, Anaïs, 2014. "Surplus distribution and characteristics of social enterprises: Evidence from microfinance," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(2), pages 147-157.
    18. N. Chidambaran, 2007. "Density estimation through quasi-analytic Monte-Carlo simulation: Options arbitrage with transactions costs," Review of Quantitative Finance and Accounting, Springer, vol. 28(1), pages 101-122, January.
    19. Wijesiri, Mahinda, 2016. "Weathering the storm: ownership structure and performance of microfinance institutions in the wake of the global financial crisis," Economic Modelling, Elsevier, vol. 57(C), pages 238-247.
    20. Russ Wermers, 2000. "Mutual Fund Performance: An Empirical Decomposition into Stock‐Picking Talent, Style, Transactions Costs, and Expenses," Journal of Finance, American Finance Association, vol. 55(4), pages 1655-1695, August.
    21. Tchakoute-Tchuigoua, Hubert, 2010. "Is there a difference in performance by the legal status of microfinance institutions?," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(4), pages 436-442, November.
    22. Yuri Kabanov & Serguei Pergamenshchikov, 2020. "Ruin probabilities for a Lévy-driven generalised Ornstein–Uhlenbeck process," Finance and Stochastics, Springer, vol. 24(1), pages 39-69, January.
    23. Fama, Eugene F. & Schwert, G. William, 1977. "Asset returns and inflation," Journal of Financial Economics, Elsevier, vol. 5(2), pages 115-146, November.
    24. Cardoso, Rui M.R. & Waters, Howard R., 2005. "Calculation of finite time ruin probabilities for some risk models," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 197-215, October.
    25. Hossain, Shahadat & Galbreath, Jeremy & Hasan, Mostafa Monzur & Randøy, Trond, 2020. "Does competition enhance the double-bottom-line performance of microfinance institutions?," Journal of Banking & Finance, Elsevier, vol. 113(C).
    26. Andrei Semenov, 2017. "Background risk in consumption and the equity risk premium," Review of Quantitative Finance and Accounting, Springer, vol. 48(2), pages 407-439, February.
    27. Day, Theodore E, 1984. "Real Stock Returns and Inflation," Journal of Finance, American Finance Association, vol. 39(2), pages 493-502, June.
    28. Mersland, Roy & Øystein Strøm, R., 2009. "Performance and governance in microfinance institutions," Journal of Banking & Finance, Elsevier, vol. 33(4), pages 662-669, April.
    29. Kolm, Petter N. & Tütüncü, Reha & Fabozzi, Frank J., 2014. "60 Years of portfolio optimization: Practical challenges and current trends," European Journal of Operational Research, Elsevier, vol. 234(2), pages 356-371.
    30. Andrew Chen & Frank Fabozzi & Dashan Huang, 2012. "Portfolio revision under mean-variance and mean-CVaR with transaction costs," Review of Quantitative Finance and Accounting, Springer, vol. 39(4), pages 509-526, November.
    31. Liang, Xiaoqing & Liang, Zhibin & Young, Virginia R., 2020. "Optimal reinsurance under the mean–variance premium principle to minimize the probability of ruin," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 128-146.
    32. Cho-Jieh Chen & Harry Panjer, 2009. "A bridge from ruin theory to credit risk," Review of Quantitative Finance and Accounting, Springer, vol. 32(4), pages 373-403, May.
    33. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    34. Qin, Zhenjiang, 2013. "Speculations in option markets enhance allocation efficiency with heterogeneous beliefs and learning," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4675-4694.
    35. Gultekin, N Bulent, 1983. "Stock Market Returns and Inflation Forecasts," Journal of Finance, American Finance Association, vol. 38(3), pages 663-673, June.
    36. Gultekin, N Bulent, 1983. "Stock Market Returns and Inflation: Evidence from Other Countries," Journal of Finance, American Finance Association, vol. 38(1), pages 49-65, March.
    37. Muhammad Kashif & Francesco Menoncin & Iqbal Owadally, 2020. "Optimal portfolio and spending rules for endowment funds," Review of Quantitative Finance and Accounting, Springer, vol. 55(2), pages 671-693, August.
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