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Financial Science Trends and Perspectives: A Review Article

Author

Listed:
  • Robert Cox Merton

    (Massachusetts Institute of Technology, U.S.A.)

  • Francisco Venegas-Martínez

    (Instituto Politécnico Nacional, México)

Abstract

Las contribuciones de Robert C. Merton cobran vigencia actual. Con respecto del diseño de los planes para el retiro, en un marco de sistemas deficientes de pensiones, las investigaciones de Merton (1969) y (1971) sobre reglas óptimas de consumo y portafolio durante y después de la vida laboral cobran vigencia contemporánea. Asimismo, Bodie y Merton (2002) proponen el uso de productos derivados, en el ámbito internacional, para diversificar los riesgos de los sistemas de pensiones justo en el momento en que muchos de éstos, en economías subdesarrolladas e industrializadas, están en la antesala de colapso; además de que varios de estos sistemas sólo garantizan una proporción exigua del salario. Por último, la teoría racional de valuación de opciones de Merton (1973) se retoma para crear oleoductos y plantas generadoras de energía sintéticas mediante el uso de contratos derivados. Este trabajo pretende realizar una revisión de las tendencias y perspectivas de la ciencia financiera y las finanzas matemáticas, en el marco de las contribuciones pioneras de Robert Cox Merton, resaltando áreas prioritarias que ofrecen oportunidades para realizar investigación con impactos social y global.

Suggested Citation

  • Robert Cox Merton & Francisco Venegas-Martínez, 2021. "Financial Science Trends and Perspectives: A Review Article," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 16(1), pages 1-15, Enero - M.
    • Handle: RePEc:imx:journl:v:16:y:2021:i:1:a:11
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    File URL: https://www.remef.org.mx/index.php/remef/article/view/581
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    References listed on IDEAS

    as
    1. Venegas-Martinez, Francisco, 2006. "Stochastic temporary stabilization: Undiversifiable devaluation and income risks," Economic Modelling, Elsevier, vol. 23(1), pages 157-173, January.
    2. William F. Sharpe, 1963. "A Simplified Model for Portfolio Analysis," Management Science, INFORMS, vol. 9(2), pages 277-293, January.
    3. Xing Jin & Allen X. Zhang, 2012. "Decomposition of Optimal Portfolio Weight in a Jump-Diffusion Model and Its Applications," The Review of Financial Studies, Society for Financial Studies, vol. 25(9), pages 2877-2919.
    4. U. Çakmak & S. Özekici, 2006. "Portfolio optimization in stochastic markets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 151-168, February.
    5. Thaleia Zariphopoulou, 2001. "A solution approach to valuation with unhedgeable risks," Finance and Stochastics, Springer, vol. 5(1), pages 61-82.
    6. Roll, Richard, 1969. "Bias in Fitting the Sharpe Model to Time Series Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 4(3), pages 271-289, September.
    7. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    8. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    9. Robert Elliott & Tak Siu, 2010. "On risk minimizing portfolios under a Markovian regime-switching Black-Scholes economy," Annals of Operations Research, Springer, vol. 176(1), pages 271-291, April.
    10. Jumarie, Guy, 2005. "Merton's model of optimal portfolio in a Black-Scholes Market driven by a fractional Brownian motion with short-range dependence," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 585-598, December.
    11. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    12. Elliott, Robert J. & Siu, Tak Kuen & Badescu, Alex, 2010. "On mean-variance portfolio selection under a hidden Markovian regime-switching model," Economic Modelling, Elsevier, vol. 27(3), pages 678-686, May.
    13. Robert C. Merton, 2006. "Allocating Shareholder Capital to Pension Plans," Journal of Applied Corporate Finance, Morgan Stanley, vol. 18(1), pages 15-24, March.
    14. Bodie, Zvi & Merton, Robert C., 2002. "International pension swaps," Journal of Pension Economics and Finance, Cambridge University Press, vol. 1(1), pages 77-83, March.
    15. Luz Rocío Sotomayor & Abel Cadenillas, 2009. "Explicit Solutions Of Consumption‐Investment Problems In Financial Markets With Regime Switching," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 251-279, April.
    16. Benjamín Vallejo Jiménez & Francisco Venegas Martínez, 2017. "Optimal consumption and portfolio rules when the asset price is driven by a time-inhomogeneous Markov modulated fractional Brownian motion with," Economics Bulletin, AccessEcon, vol. 37(1), pages 314-326.
    17. Jörn Sass & Ulrich Haussmann, 2004. "Optimizing the terminal wealth under partial information: The drift process as a continuous time Markov chain," Finance and Stochastics, Springer, vol. 8(4), pages 553-577, November.
    18. Page, Frank H. & Sanders, Anthony B., 1986. "A General Derivation of the Jump Process Option Pricing Formula," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(4), pages 437-446, December.
    19. Jun Yu, 2014. "Optimal Asset-Liability Management for an Insurer Under Markov Regime Switching Jump-Diffusion Market," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 21(4), pages 317-330, November.
    20. Cao, Melanie, 2001. "Systematic jump risks in a small open economy: simultaneous equilibrium valuation of options on the market portfolio and the exchange rate," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 191-218, April.
    21. Thaleia Zariphopoulou, 1999. "Optimal investment and consumption models with non-linear stock dynamics," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(2), pages 271-296, October.
    22. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 375-393.
    23. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    24. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    25. 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.
    26. Hamilton, James D., 1990. "Analysis of time series subject to changes in regime," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 39-70.
    27. Weiyin Fei, 2014. "Optimal control of uncertain stochastic systems with Markovian switching and its applications to portfolio decisions," Papers 1401.2531, arXiv.org.
    28. Q. Zhang & G. Yin, 2004. "Nearly-Optimal Asset Allocation in Hybrid Stock Investment Models," Journal of Optimization Theory and Applications, Springer, vol. 121(2), pages 419-444, May.
    29. Venegas-Martinez, Francisco, 2001. "Temporary stabilization: A stochastic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1429-1449, September.
    30. Isela Téllez-León. & Francisco Venegas-Martínez. & Abigail Rodríguez-Nava., 2011. "Inflation Volatility and Growth in a Stochastic Small Open Economy: A Mixed Jump-Diffusion Approach," Economía: teoría y práctica, Universidad Autónoma Metropolitana, México, vol. 35(2), pages 131-156, Julio-Dic.
    31. Venegas-Martínez, Francisco (ed.), 2008. "Riesgos financieros y económicos, productos derivados y decisiones económicas bajo incertidumbre," Sección de Estudios de Posgrado e Investigación de la Escuela Superios de Economía del Instituto Politécnico Nacional, Escuela Superior de Economía, Instituto Politécnico Nacional, edition 2, volume 1, number 019, July.
    32. Ball, Clifford A & Torous, Walter N, 1985. "On Jumps in Common Stock Prices and Their Impact on Call Option Pricing," Journal of Finance, American Finance Association, vol. 40(1), pages 155-173, March.
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    More about this item

    Keywords

    ciencia financiera; decisiones de consumo y portafolio; productos derivados; estructuras de plazos de tasas de interés.;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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