8. Option prices are a function of the spot price, the strike price, interest rates,time to expiration, and the volatility of the underlying. Assume all of theseinputs stay the same, except for one. Raising which of these inputs increasesthe value of all four types of options including: European Calls, European Puts,American Calls, and American Puts?

Detailed ExplanationLet's explore the factors that impact option prices. While all the inputs…

Answered: 8. Option prices are a function of the…

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 3P: Black-Scholes Model Assume that you have been given the following information on Purcell Industries...

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The premium on a put option is primarily a function of the difference in spot price S relative to the strike price X, the time until maturity T, and the volatility of the currency o. P = f(S-X, T, o) For each characteristic of a put option, use the table to indicate whether that would lead to a higher put option premium or a lower put 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 Put Option Premium Lower Put Option Premium When using a put option to hedge receivables in an international currency, a U.S. based MNC can lock in the receive. minimum maximum amount of dollars it will
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
3. A bear spread payoff has the form g(ST) = max(K₂- ST, 0) - max(K₁ – ST, 0), where 0 < K₁ < K₂. (a) (b) Sketch the payoff diagram. Use the general formula for the European option pricing function to find the time-zero option price of a bear spread.
Option Price and Interest Rates Suppose the interest rate on T-bills suddenly andunexpectedly rises. All other things being the same, what is the impact on call option values? Onput option values?
Under the assumptions of the Black-Scholes model, which value does not affect the price of a European call option: Select one: a. the interest rate r b. the spot price S c. the strike price K d. the return of the stock µ e. the volatility of the stock σ
4. Which of the below represents the value of an American option in each state? max(Payoff if exercised, Value if held) Payoff if exercised Risk-neutral probability min(Payoff if exercised, Value if held)
A. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55? B. What type of option is this and how? C. With a delta of -.56, is this option ITM, ATM or OTM and how?
1. Consider a family of European call options on a non - dividend - paying stock, with maturity T, each option being identical except for its strike price. The current value of the call with strike price K is denoted by C(K) . There is a risk - free asset with interest rate r >= 0 (b) If you observe that the prices of the two options C( K 1) and C( K 2) satisfy K2 K 1<C(K1)-C(K2), construct a zero - cost strategy that corresponds to an arbitrage opportunity, and explain why this strategy leads to arbitrage.
A European call option has a strike price of K and maturity of T. If the stock price at the maturity is ST, what is the payoff from a short position in this call option (without considering the option price)? Group of answer choices: Max(K - ST, 0) -Max(ST - K, 0) -Max(K - ST, 0) Max(ST - K, 0)
3
Suppose that C is the price of a European call option to purchase a security whose present price is S.Show that if C > S then there is an opportunity for arbitrage (i.e. riskless profit). You may assume theinterest rate is r = 0 so that present value calculations are unnecessary.
Let C be the price of a call option that enables its holder to buy one share of a stock at an exercise price K at time t; also, let P be the price of a European put option that enables its holder to sale one share or the stock for the amount K at time t. Let S be the price of the stock at time 0. Then, assuming that interest is continuously discounted at a nominal rate r, either S+P-C=Ke-rt or there is an arbitrage opportunity. Question: How do I verify that the strategy of selling one share of stock, selling one put option, and buying one call option always results in a positive win if S+P-C>Ke-rt ?

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