How does the price of a call option respond to the following changes, other things equal? Does the price go up or down? Explain briefly the intuition for your answer. (i). Exercise price rises. (ii). Volatility of stock price rises.
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- What impact does each of the followingparameters have on the value of a call option?(5) Variability of the stock priceProblem 4d: State whether the following statements are true or false. In each case, provide a brief explanation. d. In a binomial world, if a stock is more likely to go up in price than to go down, an increase in volatility would increase the price of a call option and reduce the price of a put option. Note that a static position is a position that is chosen initially and not rebalanced through time.Explain in detail with an example how the change of the variables (like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration) of Black-Scholes-Merton Formula affect the price of the option.
- 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 priceVolatility smile” is referred to as evidence against the Black-Scholes model. Why is that? A) Black-Scholes model assumes that different options on a given stock have different values for implied volatility b.) Volatility of returns on one and the same stock, over one and the same future period of time, can only take one value C) Black-Scholes model generates option premium close to the observed premium if the observed stock volatility is usedWe showed in the text that the value of a call option increases with the volatility of the stock. Is this also true of put option values? Use the put-call parity theorem as well as a numerical example to prove your answer.
- Describe the effect of a change in each of the following factors on the value of a calloption:1. Stock price2. Exercise price3. Option life4. Risk-free ratetHE 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.Both 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. An option is more valuable the longer the maturity. 2. A longer maturity in-the-money option on a risky stock is more valuable than the same shorter maturity option. 3. When the exercise price increases, option prices increase. 4. As the risk-free rate increases, the value of the option increases.
- Select all that are true with respect to the Black Scholes Option Pricing Model (OPM) in practice): Group of answer choices BSOPM assumes that the volatility of the underlying stock returns is constant over time. BSOPM assumes that the underlying stock can be traded continuously. BSOPM assumes that there are no transaction costs. There is only one input to the BSOPM that is not observable at the time you are valuing a stock option, and that input is volatility. Implied volatility is estimated by calculating the daily volatility of the underlying stock’s return that occurred over the prior six months.Both 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.The below question is of the course "Financial Derivatives and Risk Management". 1. Explain the call-put parity relation and how it is justified. 2. Describe the five variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration that the Black-Scholes-Merton Formula uses to calculate the price of call and put options. 3. Explain how the change in these variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration affect the price of the option. 4. Explain how these variables like Stock Price, Exercise Price, Risk-Free Rate, Volatility or Standard Deviation, and Time to Expiration are grouped to show the put-call parity relationship and suggest the condition in which there is an arbitrage opportunity