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Black-Scholes model for pricing a call option and a put option below -dt C: Se N

ID: 2787907 • Letter: B

Question

Black-Scholes model for pricing a call option and a put option below -dt C: Se N(d1) Xe"N(d2) -dt rt 15 What happens to the call option and put option values when the strike price and payout rate increase? A Call option value DECREASE; Put option value DECREASE B Call option value INCREASE; Put option value DECREASE C no net change D Call option value INCREASE; Put option value INCREASE E Call option value DECREASE; Put option value INCREASE S Price Current stock price, X Price Exercise or Strike price PO Rate = Dividend payout rate, Volatility = volatility of stock prices RF Rate-Risk-Free rate, Time Expire-remaining time to option expiration 16 Select the list of factors that call options are sensitive to from most to least sensitivity: A PO Rate; X Price; Time Expire B Time Expire; X Price; S Price; Time Expire C PO Rate; S Price; X Price; Time Expire D SPrice; X Price; PO Rate; Time Expire E X Price; S Price; PO Rate; Time Expire 17 Which of these factors will have a negative correlation to call option sensitivities? A PO Rate; Time Expire B SPrice; Time Expire C X Price: PO Rate D SPrice; PO Rate E XPrice; Time Expire

Explanation / Answer

15

When option is in the money, the option value increases.

In case of a call option, with an increase in strike price the value of call option will decrease.

In case of a put option, with an increase in strike price the value of put option will increase.

So E is the right answer

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16

Call option is most sensitive to the price of the underlying and then PO rate. Change in Time to expire causes least changes in call option value.

D option is correct.

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17

Both strike price and dividendf payout rate are negatively correlated to call option. Positive changes in these parameters will lead to negative changes in call option.

Option C is correct

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18

Option price sensitivity is same for put and call despite these causing opposite shifts in option values for call and put option. So answer is C

19

Put option are positively correlated to dividends and Strike price. hence Option E is correct