Page 130 - Microsoft Word - 00 P1 IW Prelims.docx
P. 130

Chapter 8




                           The Black-Scholes Option Pricing

                           (BSOP) model



               2.1   The five key factors impacting option value





                                                   Option value






                               Intrinsic value                         Time value





                 Intrinsic value is found by comparing:
                  1  The exercise price (P ), with
                                             e
                  2  The price of the underlying asset (P )
                                                             a
                   e.g. for a call option

                    P a  ($)           80      90     100     110     120
                    P e  ($)         100     100      100     100     100
                    Intrinsic
                                        0       0        0      10      20
                    value ($)
                                      Out of the                  In the
                                        money                    money



                  3  Time to expiry in years (t)

                   Long-time => higher chance of profit before expiry date=> higher option
                    value

                 4  Volatility, measured as standard deviation (s)
                   High volatility => higher chance of profit before expiry date=> higher
                    option value

                 5  Risk free interest rate (r)

                   Call option => asset purchase is delayed => call option is more valuable
                    when interest rates are high (opposite for put)



               118
   125   126   127   128   129   130   131   132   133   134   135