a.
To discuss: The payoff when the stock price goes up.
Introduction: Put option is contract that gives the owner of option the right to sell it at pre-decided rate within a specified time frame. It is not an obligation but the right to sell.
b.
To discuss: The payoff when the stock price falls.
Introduction: Put option is contract that gives the owner of option the right to sell it at pre-decided rate within a specified time frame. It is not an obligation but the right to sell.
c.
To discuss: Value of put option using risk-neutral shortcut.
Introduction: Put option is contract that gives the owner of option the right to sell it at pre-decided rate within a specified time frame. It is not an obligation but the right to sell.
d.
To discuss: Value of put option remain same using two-state approach.
Introduction: Put option is contract that gives the owner of option the right to sell it at pre-decided rate within a specified time frame. It is not an obligation but the right to sell.
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- Suppose stocks X and Y have equal current prices but different volatilities of returns, ax < øy; what would be more expensive: a call option on X or Y? Please discuss.arrow_forwardConsider 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.arrow_forwardtHE CORRECT OPTION IS C but what is wrong with the last statement? The short position in the same call option has a zero value for all stock prices equal to or less than the exercise price. - Please explain how this statement is true? please give a detailed explanation and in simple terms.arrow_forward
- 6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the set of available risky securities, and M the market portfolio. For the questions that follow, assume that CAPM provides an accurate description of reality. a. b. C. d. State the CAPM equation. (1) Use the CAPM equation to show that the following condition is true s; ≤ SM for any j. What is the significance of this condition when interpreted in the context of the capital market line? (5) Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determine the expected return from holding one unit of asset j for one period. (2) Given your answer to c.), what could you conclude (from the perspective of the security market line) if a market survey indicated that the forecasted one- period return on asset j was 8 percent? Describe and motivate the rational trading response that is consistent with your conclusion. (4)arrow_forwardAfter describing the main hypothesis made in the black and Scholes model explain the reasons why the volatility smile (or skew) is showing up in the options markets? Describe three alternative models to the Black and Scholes model (except the sticky delta and the sticky strike methods) and explain/justify how they cope with the phenomenon of volatility skew.arrow_forwardWhich of the following statements about the Security Market Line are correct? I. The intercept point is the market rate of return. II. The slope of the line is beta. III. An investor should accept any return located above the SML line. IV. A beta of 0.0 indicates the risk-free rate of returnarrow_forward
- a. Explain the covered call options strategy b. Graphically show a covered call options strategy, including payoff. Explain why an investor mayuse this option strategy.c. Using put-call parity, explain the shape of the payoff line (in part (a) of this question). Whatoption position does it look like and why?arrow_forwardBoth call and put options are affected by the following five factors: the exercise price, the underlying stock price, the time to expiration, the stock’s standard deviation, and the risk-free rate. However, the direction of the effects on call and put options could be different. Use the following table to identify whether each statement describes put options or call options. Statement Put Option Call Option 1. When the exercise price increases, option prices increase. 2. An option is more valuable the longer the maturity. 3. The effect of the time to maturity on the option prices is indeterminate. 4. As the risk-free rate increases, the value of the option increases.arrow_forwardAn 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;arrow_forward
- 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.arrow_forwardSelect all that are true with respect to the Black Scholes Option Pricing Model (BSOPM) Group of answer choices When using BSOPM to value a stock option, the BSOPM assumes that stock prices follow a normal distribution. When using BSOPM to value a stock option, the BSOPM assumes that stock returns follow a normal distribution. Half of the observations in a normal distribution are above the mean and half are below the mean. Fisher Black and Myron Scholes were awarded the Nobel Prize in 1997 for their work in Option Pricing.arrow_forwardSuppose 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.arrow_forward
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