DIVIDENDS AND COMPOUND POISSON PROCESSES: A NEW STOCHASTIC STOCK PRICE MODEL

被引:1
|
作者
Gankhuu, Battulga [1 ]
Kleinow, Jacob [2 ]
Lkhamsuren, Altangerel [3 ]
Horsch, Andreas [4 ]
机构
[1] Natl Univ Mongolia, Dept Appl Math, Ulan Bator 14201, Mongolia
[2] Zeb Consulting, Friedrichstr 78, D-10117 Berlin, Germany
[3] German Mongolian Inst Resources & Technol, Fac Math Comp & Nat Sci, GMIT Campus,2nd Khoroo, Nalaikh 12790, Mongolia
[4] Tech Univ Bergakad Freiberg, Fac Business Adm, Schlosspl 1, D-09599 Freiberg, Germany
关键词
Stochastic dividend discount model; compound nonhomogeneous poisson process; random time of firm default; ML estimators; VALUATION; EARNINGS;
D O I
10.1142/S0219024922500145
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
This study introduces a stochastic multi-period dividend discount model (DDM) that includes (i) a compound nonhomogenous Poisson process for dividend growth and (ii) the probability of firm default. We obtain maximum likelihood (ML) estimators and confidence interval formulas of our model parameters. We apply the model to a set of firms from the S&P 500 index using historical dividend and price data over a 42-year period. Interestingly, stock price estimations calculated with the model are close to the observable prices. Overall, we prove that the model can be a useful tool for stock pricing.
引用
收藏
页数:36
相关论文
共 50 条
  • [31] New Procedures for Testing Whether Stock Price Processes are Martingales
    Takeuchi, Kei
    Takemura, Akimichi
    Kumon, Masayuki
    [J]. COMPUTATIONAL ECONOMICS, 2011, 37 (01) : 67 - 88
  • [32] New Procedures for Testing Whether Stock Price Processes are Martingales
    Kei Takeuchi
    Akimichi Takemura
    Masayuki Kumon
    [J]. Computational Economics, 2011, 37 : 67 - 88
  • [33] A long-term alternative formula for a stochastic stock price model
    Okabe, Takuya
    Yoshimura, Jin
    [J]. SN APPLIED SCIENCES, 2022, 4 (11)
  • [34] A binomial tree approach to stochastic volatility driven model of the stock price
    Florescu, Ionut
    Viens, Frederi
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2005, 32 : 126 - 142
  • [35] A long-term alternative formula for a stochastic stock price model
    Takuya Okabe
    Jin Yoshimura
    [J]. SN Applied Sciences, 2022, 4
  • [36] On the Moment Characteristics for the Univariate Compound Poisson and Bivariate Compound Poisson Processes with Applications
    Ozel, Gamze
    [J]. REVISTA COLOMBIANA DE ESTADISTICA, 2013, 36 (01): : 59 - 77
  • [37] New Ruling on Taxation of Treasury Stock Dividends
    Moore, Winsor C.
    [J]. JOURNAL OF ACCOUNTANCY, 1954, 97 (04): : 412 - +
  • [38] NEW STOCHASTIC PRICE FLUCTUATION MODEL - COMMENT
    CLARK, PK
    [J]. REVIEW OF ECONOMIC STUDIES, 1974, 41 (01): : 151 - 152
  • [39] Some Compound Fractional Poisson Processes
    Khandakar, Mostafizar
    Kataria, Kuldeep Kumar
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (01)
  • [40] The Wavelet Compressibility of Compound Poisson Processes
    Aziznejad, Shayan
    Fageot, Julien
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68 (04) : 2752 - 2766