Using the Black/Scholes Option Pricing Model,calculate the value of the call option given:S = 70; X = 80; T = 3 months;= .49; Rf = 10%What is the intrinsic value of the call? What stockprice is necessary to break - even?

To calculate the value of the call option using the Black-Scholes Option Pricing Model, we need to…

Answered: Using the Black/Scholes Option Pricing…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Put together a Black–Scholes option calculator in Excel to answer the following.(a) What is the call-option value withS0 = $45, K = $48, r = 6%, T = 15 months,and volatility = 40%?(b) What is the put-option value withS0 = $60, K = $65, r = 6%, T = 18 months,and volatility = 20%?(c) What is the put-option value withS0 = $38, K = $40, r = 6%, T = 3 months,and volatility = 60%?(d) What is the call-option value withS0 = $100, K = $95, r = 8%, T = 3 years,and volatility = 40%?
what can be best strategy for trailing in Nifty 50 in option trading.
Calculate the Black-Scholes price of a Call option where: S = $50 K = $45 T-t=.25 O = .20 r= .03 Show your work.
a) The cost of a portfolio consisting of a long position in a call option with strike price 50 and a short position in a call option with strike price 80 is zero (both call options are on the same stock and have the same maturity date). True or false? Explain. b) Carefully draw the payoff diagram of a portfolio consisting of a long position in two call options with exercise price ?, a short position in five call options with exercise price 2? and a long position in four call options with exercise price 3?. All options have the same maturity date and the same underlying stock. What reasons could a speculator have for holding such a portfolio (explain in detail)?
Consider a call option whose maturity date is T and strike price is K. At any time t < T, is it always the case that the call option's price must be greater than or equal to max(St – K,0), where St is the stock price at t? (Your answer cannot be more than 30 words. Answers with more than 30 words will not be graded.)
Construct a hedge portfolio and by using the binomial option pricing model and find the values of Pu and Pd; and P. Explain the answer and describe the hedge portfolio. A stock currently priced at $100. One period later it can go up to $125, an increase of 25 percent, or down to $80, a decrease of 20 percent. Assume a put option is available with an exercise price of $100. Consider the example in a two-period world. The risk-free rate is 7 percent. The inputs are summarized as follows S = 100 d = 0.80 u = 1.25 X= 100 r = 0.07
Assume a security follows a geometric Brownian motion with volatility parameter = 0.2. Assume the initial price of the security is 21 and the interest rate is 0. It is known that the price of a down-and-in barrier option and a down-and-out barrier option with strike price 19 and expiration 30 days have equal risk-neutral prices. Compute this common risk-neutral price.
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The premium on a call option is primarily a function of the difference in spot price S relative to the strike price X, the length of time until expiration T, and the volatility of the currency o. C = f(S-X, T, o) For each characteristic of a call option, use the table to indicate whether that would lead to a higher call option premium or a low call option premium (all else equal). Characteristic A lower spot price relative to the strike price A shorter time before expiration A higher level of volatility for the currency Higher Call Option Premium O Lower Call Option Premium When using a call option to hedge payables in an international currency, a U.S. based MNC can lock in the to obtain the needed foreign currency. maximum minimum amount of dollars needed
Assume an interest rate of zero. A Call option and a Put option with the same exercise price, X = 100p are priced at 9p for the Call and 4p for the Put. What is the price of the synthetic share?

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Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S = 70; X = 80; T = 3 months; = .49; Rf = 10% What is the intrinsic value of the call? What stock price is necessary to break - even?