Black-Scholes : En prissättningsmodell för optioner

Sammanfattning: This paper aims to derive the Black-Scholes equation for readers without advanced knowledge in finance and mathematics. To succeed, this paper contains a theoretical chapter in which concepts such as options, interest rate, differential equations and stochastic variable are explained. This paper also presents the theory of stochastic processes such as the Wiener process and Ito process. In the chapter on the Black-Scholes model the Ito process is used to describe price of shares and with the help of Ito's lemma Black-Scholes equation can be derived. In the paper, assumptions are listed that apply to the Black-Scholes model and then uses the Black-Scholes equation to calculate the price of a European call option. Finally, exotic options are described and also how options can be used to reduce risks.