Analysis of Financial Derivatives by Mechanical Method(Ⅱ)——Basic Equation of Market Price of Option

The basic equation of market price of option is formulated by taking assumptions based on the characteristics of option and similar method for formulating basic equations in solid mechanics: h_v>0(t)=m₁v₀^-1(t)-n₁ v₀(t)+F,where h,m₁,n₁,F are constants.The main assumptions are:the ups and downs of market price v₀(t)are determined by supply and demand of the market;the factors,such as the strike price,tenor,volatility,etc.that affect on v₀(t)are demonstrated by using proportion or inverse proportion relation;opposite rules are used for purchasing and selling respectively.The solutions of the basic equation under various conditions are found and are compared with the solution v_f(t)of the basic equation of market price of futures.Furthermore the one-one corre-spondence between v_f and v₀(t)is proved by implicit function theorem,which forms the theoretic base for study of v_f affecting the market price of option v₀(t).