Question
Consider a call option with the following characteristics: Stock price: $118.04, Exercise price: $107.71 Risk-free rate:3.2 %, compounded continuously . Maturity: 237days (assume there are
Consider a call option with the following characteristics: Stock price: $118.04,
Exercise price: $107.71
Risk-free rate:3.2 %, compounded continuously .
Maturity: 237days (assume there are 365 days in a year)
Standard deviation of the stock returns: %45
PartA:
Calculate the value of d1 in the Black-Scholes model.
d1:
enter your response here.
(Round your answer to four decimal places and use the rounded value in Parts B and D).Part
PARTB:
Calculate the value of d2 in the Black-Scholes model.
d2:
enter your response here.
(Round your answer to four decimal places and use the rounded value in Part C).
Part C:Calculate the value of Nd1 in the Black-Scholes model. Hint: you're trying to find the area to the left of
d1 under the standard normal distribution.
Nd1:
enter your response here.
(Round your answer to four decimal places and use the rounded value in Part E).
Part D:Calculate the value of Nd2 in the Black-Scholes model. Hint: you're trying to find the area to the left of d2 under the standard normal distribution.
Nd2:
enter your response here.
(Round your answer to four decimal places and use the rounded value in Part E).
Part E:Calculate the value of the call option under the Black-Scholes model.
C:
$enter your response here.
(Round your answer to two decimal places).
Part F:The intuition of the Black-Scholes model is that a call option has the same risk and payoff of a borrow and buy strategy. That's what allows us to price the call option. Using the rounded values you've calculated above, determine the borrow and buy strategy associated with this call. I.e., how much money was borrowed and how many shares were purchased (the delta of the call)?
Delta of the call:
enter your response here.
(Round your answer to four decimal places).
Amount borrowed:
$enter your response here.
(Round your answer to two decimal places).
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