Abstract

Prior studies revealed that most researchers tend to employ the Black Scholes model to price equity warrants. However, the Black Scholes model was found deficient by contributing to large estimation errors and mispricing of equity warrants. Therefore, issues involving equity warrants are discussed in this paper, by focusing on specific topics and respective stochastic models to provide a basis for improvements in future research. In recent years, stochastic approaches have been used to a great extent among researchers due to the expansive applications in both theoretical and practical sense. Subsequently, this paper provides the results of a comprehensive literature review on various stochastic modelling methods and its applications for pricing financial derivatives in terms of applications, modifications of methods, comparisons with other methods, and general related researches. Focus is given on two types of stochastic models namely stochastic volatility and stochastic interest rate models, along with the discussions associating these two types of models. This paper acts as a valuable source of information for academic researchers and practitioners not only for pricing financial instruments, but also in various other fields involving stochastic techniques.

Highlights

  • In financial mathematics, the Black Scholes model is a pioneer work by Fischer Black, Myron Scholes and Robert Merton, which is the most widely used model for option pricing

  • This pricing formula was based on the theory that the stock prices follow a geometric Brownian motion with constant drift and volatility

  • This paper aims to provide a comprehensive review of existing literature on pricing equity warrants

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Summary

Introduction

The Black Scholes model is a pioneer work by Fischer Black, Myron Scholes and Robert Merton, which is the most widely used model for option pricing. The Black Scholes model evaluates the variability of financial instruments over a period of time, and was originally used to estimate the price of European call option which can only be exercised during a certain time period just prior to its expiration. This pricing formula was based on the theory that the stock prices follow a geometric Brownian motion (gBm) with constant drift and volatility. The Black Scholes model is highlighted in this paper since it is protracted from many aspects by other advanced models to describe invariant phenomenon found in real markets Such extensions include incorporating stochastic interest rates, jumps and many other factors.

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