Consider the model of Black and Scholes. Consider the cash=or-nothing put option V (T) = 1{S(T)<= K} It pays out one unit of cash if the spot is below the strike at maturity. Evaluate the price of the option.
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Consider the model of Black and Scholes. Consider the cash=or-nothing put option V (T) = 1{S(T)<= K} It pays out one unit of cash if the spot is below the strike at maturity. Evaluate the price of the option.
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- 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.)Consider a call option having the strike price K and exercise time t. Suppose further that thenominal interest rate is r, compounded continuously, and also that the price of the securityfollows a geometric Brownian motion with variance parameter σ^2. Derive the formula that isused to price the unique cost of the option that does not give rise to an arbitrage.I was asked to repost the question. It is as follows: Assume a security follows a geometric Brownian motion with volatility parameter sigma=0.2. Assume the initial price of the security is $25 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 $22 and expiration 30 days have equal risk-neutral prices. Compute this common risk-neutral price. In regards to the above question, I had this follow up question: I am working with the following equation: The risk neutral present value of a "down-and-in" option PLUS the present value of a "down-and-out" option is EQUAL to the risk neutral price of a traditional call option (using Black-Scholes formula). I have calculated the call option to be $3.00 using the Black-Scholes formula. If I am being asked to find the "common risk neutral price", given that the price of a down-and-in barrier option and a down-and-out barrier option are equal, would my answer…
- Consider a call and a put options with the same strike price and time to expiry. Given that the strike price is exactly equals to the forward price, then: A. Put and call have same premium B. The premium of the put is equal to the forward price C. The premium of the put is equal to the premium of the call plus the present value of the strike D. The premium of the call is equal to the forward price1. 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.According to the Black-Scholes formula, what will be the hedge ratio (delta) of a put option for a very small exercise price?
- When the price of the underlying financial instrument exceeds the exercise [strike] price of a call option, the option is said to be: A. ripe for a put.B. out of the running.C. in the money.D. dead on the money.fill the missing words: a. For ( ) options, when the spot price is ( ) than(or equal to)the exercise price, then profit/loss equals the premium. b. For ( ) options, when the spot price is ( ) than (or equal to) the exercise price, then the profit/loss will be equal to the option premium.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?
- Suppose the solid line represents the capital market line that results from a CAPM equilibrium and the dotted curves represent indifference curves for a given individual. Which of the following is correct if point M corresponds to the market portfolio? Group of answer choices The individual optimally holds only the market portfolio, M. The individual optimally holds portfolio B which can be partially characterized by a long position in the riskless asset. The individual optimally holds portfolio B which can be partially characterized by a short position in the riskless security The individual optimally holds portfolio A which can be partially characterized by a long position in the riskless security. None of the above.In the Black-Scholes option pricing model, the value of a call is inversely related to: a. the risk-free interest stock b. the volatility of the stock c. its time to expiration date d. its stock price e. its strike priceBelow is a chart with profit/loss on the vertical axis, and the $/£ exchange rate on the horizontal axis. The solid line shows the profit/loss schedule for a: Question 8 options: put option in isolation (e.g. used for speculating that the pound will depreciate) None of the above covered call option (a call option is used as a hedge) covered put option (a put option is used as a hedge)
