Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Question
What is the delta of a European put option with the following parameters?
s0 = $40
k = $47
r = 10%
sigma = 20%
T = 0.75 years
(required precision 0.01 +/- 0.01)
Greeks Reference Guide:
- Delta = ∂π/∂S
- Theta = ∂π/∂t
- Gamma = (∂2π)/(∂S2)
- Vega = ∂π/∂σ
- Rho = ∂π/∂r
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- Using put-call parity, if the price of an At-the-Money Call option maturing in 1 day is $3.14, what is the price of an of an At-the-Money Put option maturing in 1 day (give an approximation)? A. $0.95 B. $2.86 C. $3.14 D.$3.26arrow_forwardWhat is the delta of a European put option with the following parameters? s0 = $40k = $46 r = 10%sigma = 20%T = 0.75 years (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂rarrow_forwardGiven the following information, predict the European call option's new price after the risk free rate changes. Initial call option price = $3 Initial risk free rate = 9.9% Rho = 9 New risk free rate = 9.5% (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂r Recall that rho is defined as the partial derivative of the option's price with respect to the risk free rate. (i.e. rho = ∂π / ∂r).arrow_forward
- Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. What would the price of the call option ‘c’ need to be for put-call parity to hold?arrow_forwarduse binomial option pricing model for this question. suppose the current spot rate for USD/CHF is 0.7. you need to find the one-year call option price of USD/CHF with the exercise price of 0.68 USD/CHF. Assume that our future states will be either 0.7739 U&SD/CHF or 0.6332 USD/CHF. 1) What are the payoffs of a call option (for both states) 2) what is the hedge ratio of the call option?arrow_forwardWhat is the rho of a European put option with the following parameters? As a reminder, rho is defined as the first derivative of the option price with respect to the risk free rate. s0 = $40k = $39 r = 10%sigma = 20%T = 0.75 years (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂rarrow_forward
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