Tick all those statements on options that are correct (and don't tick those statements that are incorrect). a. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion. b. If interest is compounded continuously then the put-call parity formula is P + S(0) = C + Ker where T is the expiry time. C. An American put option should never be exercised before the expiry time. d. In general the equation S(T) + (K = S(T))+ = (S(T) - K)+ + K is valid. e. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion.

Tick all those statements on options that are correct (and don't tick those statements that are incorrect). a. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion. b. If interest is compounded continuously then the put-call parity formula is P + S(0) = C + Ker where T is the expiry time. C. An American put option should never be exercised before the expiry time. d. In general the equation S(T) + (K = S(T))+ = (S(T) - K)+ + K is valid. e. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion.

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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Tick all those statements on options that are correct (and don't tick those statements that are incorrect). O a. In general the equation S(T) + (K – S(T)) = (S(T) – K) + K is valid. O b. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion. An American put option should never be exercised before the expiry time. d. If interest is compounded continuously then the put-call parity formula is P + S(0) = C + Ke T where T is the expiry time. -T c. O e. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion.
Tick all those statements on options that are correct (and don't tick those statements that are incorrect). a. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion. b. In general the equation S(T) + (K − S(T))† = (S(T) – K)+ + K is valid. An American put option should never be exercised before the expiry time. C. d. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion. e. If interest is compounded continuously then the put-call parity formula is P + S(0) = C + Ke¯T where T is the expiry time.
Tick all those statements on options that are correct (and don't tick those statements that are incorrect). O a. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion. Ob. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion. 0 C. If interest is compounded continuously then the put-call parity formula is P+ S(0) = C + Ke where I is the expiry time. Od. In general the equation S(T) + (K − S(T))+ (S(T) — K)† + K is valid. An American put option should never be exercised before the expiry time. e. =
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.
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 (ie. riskless profit). Assume the interest rate r=0 so present value calculations are unnecessary.
Tick all those statements on options that are correct (and don't tick those statements that are incorrect). a. In general the equation S(T) + (K − S(T))† = (S(T) – K)† + K is valid. - b. The Black-Scholes formula is based on the assumption that the share price follows a geometric Brownian motion. The put-call parity formula necessarily requires the assumption that the share price follows a geometric Brownain motion. d. An American put option should never be exercised before the expiry time. e. If interest is compounded continuously then the put-call parity formula is P + S(0) = C + Ke¯r where T is the expiry time. C.
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 ?
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.
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. risk-less profit). You may assume the interest rate is r=0 so that the present value calculations are unnecessary.
An up-and-out barrier call option with barrier B, strike price K and exercise time T has payoff H(T) = (S(T) − K) + if max {S(t)| 0 ≤ t ≤ T} < B, 0 otherwise, that is, the payoff is that of a call option if the underlying stock price does not reach or exceed the barrier B at any time up to and including time T, and 0 otherwise. For an up-and-out barrier call option with barrier B = 140, strike price K = 90 and exercise time T = 3 in the binomial model with parameters U = 0.2, D = −0.1, R = 0.1 and S(0) = 100 compute the following. (a) The option price at time 0;
Consider two put options on the same stock with the same time to maturity. The strike price of Put A is less than the strike price of Put B. Which of the following is true? O It is possible for Put A to be in the money and Put B to be out of the money. O It is possible for Put A to be out of the money and Put B to be in the money. One of the options must be in the money. All of the other answers are correct.
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

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