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   Topic Weight: 5%




© Pristine
This Presentation has been prepared to provide general information about the
Company to whom it is addressed. This Presentation does not purport to contain all
the information. The information provided in this presentation is meant only for
the recipient and is not to be shared with anyone else.
Variables affecting Option Prices

                                  European Call    European Put      American Call   American Put
     Variable
                                  c=Max(S-X,0)     p=Max(X-S,0)      C=Max(S-X,0)    P=Max(X-S,0)
     Current Stock Price
                                         +                 -               +                 -
     (St)
     Strike Price (X)                    -                 +                -               +
     Time to Expiry (T)                  ?                 ?               +                +
     Volatility (Sigma)                  +                 +               +                +
     Risk Free Rate (r)                  +                 -               +                 -
     Dividends (D)                       -                 +                -               +

                                    X
      Put-Call Parity:     ct          (T  t)
                                                 p t  St  PV(D)     where PV(D) is the present value
                                (1  r)                                of the dividend paid in future




Pristine   www.edupristine.com                                                                      2
Concept Checkers
       1. If the volatility of the underlying asset decreases, then the:
       A. Value of the put option will increase, but the value of the call option will decrease
       B. Value of the put option will decrease, but the value of the call option will increase
       C. Value of both the put and call option will decrease


       2. Which of the following features increase the value of a call option?
       A. High interest rate
       B. Highly variable stock price
       C. All of the above




Pristine   www.edupristine.com                                                                    3
Answers
       1. C, with the increase in the volatility, the price of all the options increases
       2. C, high interest rate and high volatility increase the price of the call option




Pristine   www.edupristine.com                                                              4

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CFA Derivatives

  • 1. www.edupristine.com Derivatives Topic Weight: 5% © Pristine This Presentation has been prepared to provide general information about the Company to whom it is addressed. This Presentation does not purport to contain all the information. The information provided in this presentation is meant only for the recipient and is not to be shared with anyone else.
  • 2. Variables affecting Option Prices European Call European Put American Call American Put Variable c=Max(S-X,0) p=Max(X-S,0) C=Max(S-X,0) P=Max(X-S,0) Current Stock Price + - + - (St) Strike Price (X) - + - + Time to Expiry (T) ? ? + + Volatility (Sigma) + + + + Risk Free Rate (r) + - + - Dividends (D) - + - + X Put-Call Parity: ct  (T  t)  p t  St  PV(D) where PV(D) is the present value (1  r) of the dividend paid in future Pristine www.edupristine.com 2
  • 3. Concept Checkers 1. If the volatility of the underlying asset decreases, then the: A. Value of the put option will increase, but the value of the call option will decrease B. Value of the put option will decrease, but the value of the call option will increase C. Value of both the put and call option will decrease 2. Which of the following features increase the value of a call option? A. High interest rate B. Highly variable stock price C. All of the above Pristine www.edupristine.com 3
  • 4. Answers 1. C, with the increase in the volatility, the price of all the options increases 2. C, high interest rate and high volatility increase the price of the call option Pristine www.edupristine.com 4