In this paper, we have investigated how an
investor’s income, who is rewarded by managing dual company stocks and
additionally receives stochastic income, grows. We have calculated the optimal
stock priceand
the optimal stock outputthat
maximize his returns. We have shown that the best strategy is to choosefrom the set of prices .
References
[1]
Henderson, V. (2005) Explicit Solutions to an Optimal Portfolio Choice Problem with Stochastic Income. Journal of Economic Dynamics and Control, 29, 1237-1266. https://doi.org/10.1016/j.jedc.2004.07.004
[2]
Choon, V.T.W and Manoyios, M. (2013) Utility-Based Hedging of Stochastic Income. MSc-Dissetation, University of Oxford, Oxford.
[3]
Kronborg, M.T. (2014) Optimal Consumption with Labor Income and European/ American Capital Guarantee. Risks, 2, 171-194. https://doi.org/10.3390/risks2020171
[4]
Doctor, O. and Offen, E. (2015) Solutions to Some Portfolio Optimization Problem with Stochastic Income and Consumption. Mathematical Finance Letters.
[5]
Wang, C., Wang, N. and Yang, J. (2016) Optimal Consumption and Savings with Stochastic Income and Recursive Utility. Journal of Economic Theory, 165, 292-331. https://doi.org/10.1016/j.jet.2016.04.002
[6]
Chen, D. (2015) Duopolistic Competition and Capacity Choice with Jump-Diffusion Process. Journal of Mathematical Finance, 5, 192-201. https://doi.org/10.4236/jmf.2015.52018
[7]
Huisman, K.J.M. and Kort, P.M. (2009) Strategic Capacity Investment under Uncertainty. Tilburg University, The Netherlands.
[8]
Henderson, V. (2007) Valuing the Option to Invest in an Incomplete Market. Mathematics and Financial Economics, 1, 103-128. https://doi.org/10.1007/s11579-007-0005-z
[9]
Kovaleva, P. (2009) Option Pricing in Incomplete Markets. MSc Financial Economics Dissertation, London.
[10]
McDonald, R. and Siegel, D.R. (1986) The Value of Waiting to Invest. Quarterly Journal of Economics, 101, 707-727. https://doi.org/10.2307/1884175
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