Current Developments and Limitations for Pricing Options

Authors

  • Ziyun Zeng

DOI:

https://doi.org/10.54097/amweys64

Keywords:

Black-Scholes model, Merton model, Cox-Ross-Rubinstein model.

Abstract

Valuing options holds significant importance within the derivative market, serving as a cornerstone for investors, traders, and financial institutions. Over time, economists have dedicated efforts to develop models that accurately reflect the complexities of this market environment. The evolution of economic theories can be observed through the examination of key option pricing models, which have undergone refinements and enhancements over the decades. By exploring models such as the Black-Scholes model, the Merton model, and the Cox-Ross-Rubinstein model, it is possible to gain valuable insights into the progression of economic thought in this field. Each of these models offers unique perspectives on option pricing, illustrating various principles and methodologies employed to assess and value options. Moreover, understanding the extensions and limitations of these models provides crucial insights into their applicability and effectiveness in real-world scenarios. By conducting an in-depth examination of these models, the objective of this article is to offer a nuanced comprehension of how economic theories have developed and adjusted to the ever-changing conditions of the derivative market.

Downloads

Download data is not yet available.

References

Grossman, Sanford J., Zhongquan Zhou. Equilibrium Analysis of Portfolio Insurance. The Journal of Finance, 1996, 51(4): 1379–1403.

Borovkova, Svetlana, et al. A Closed Form Approach to the Valuation and Hedging of Basket and Spread Options. The Journal of Derivatives, 2007, 14(4): 8

Zhou, Jinke, Xiaolu Wang. Accurate Closed-Form Approximation for Pricing Asian and Basket Options. Applied Stochastic Models in Business and Industry, 2008, 24(4): 343–58.

Shumway, Tyler. Forecasting Bankruptcy More Accurately: A Simple Hazard Model. The Journal of Business, 2001, 74(1): 101–24.

Chava, Sudheer, Robert A. Jarrow. Bankruptcy Prediction with Industry Effects. Review of Finance, 2004, 8(4): 537–569.

Gryglewicz, Sebastian. A Theory of Corporate Financial Decisions with Liquidity and Solvency Concerns. Journal of Financial Economics, 2011, 99(2): 365–84.

HE, ZHIGUO, WEI XIONG. Rollover Risk and Credit Risk. The Journal of Finance, 2012, 67(2): 391–430.

Broadie, Mark, Jerome Detemple. American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods. The Review of Financial Studies, 1996, 9(4): 1211–50.

Heston, Steve, Guofu Zhou. On the Rate of Convergence of Discrete-Time Contingent Claims. Mathematical Finance, 2000, 10(1): 53–75.

Hussain, Javed, Bareerah Khan. ON COX-ROSS-RUBINSTEIN PRICING FORMULA FOR PRICING COMPOUND OPTION. International Journal of Analysis and Applications, 2020, 18(1): 129–148.

Gultekin, Mustafa N., N. Bulent Gultekin. Stock Market Seasonality: International Evidence. Journal of Financial Economics, 1983, 12(4): 469–481.

Macbeth, James D., Larry J. Merville. An Empirical Examination of the Black-Scholes Call Option Pricing Model. The Journal of Finance, 1979, 34(5): 1173–1186.

Majumder, Debasish. Inefficient Markets and Credit Risk Modeling: Why Merton’s Model Failed. Journal of Policy Modeling,2006, 28(3): 307–318.

Jessen, Cathrine, David Lando. Robustness of Distance-to-Default. Journal of Banking & Finance, 2015, 50: 493–505.

Burgard, Christoph, Mats Kjaer. Partial Differential Equation Representations of Derivatives with Bilateral Counterparty Risk and Funding Costs. Journal of Credit Risk, 2011, 7(3): 75–93.

Hull, John, Alan White. The FVA Debate Continues. Risk, 1987, 25(10): 52.

Hull, John, Alan White. Collateral and Credit Issues in Derivatives Pricing. Journal of Credit Risk, 2014, 10(3): 3–28.

Hunzinger, Chadd B., Coenraad C. A. Labuschagne. The Cox, Ross and Rubinstein Tree Model Which Includes Counterparty Credit Risk and Funding Costs. The North American Journal of Economics and Finance, 2014, 29: 200–217.

Downloads

Published

01-09-2024

How to Cite

Zeng, Z. (2024). Current Developments and Limitations for Pricing Options. Highlights in Business, Economics and Management, 40, 525-530. https://doi.org/10.54097/amweys64