We understand standard deviation of returns as a measure of risk and rational investors would like to minimize risk. Notwithstanding this, you may have read that as the standard deviation of returns of the underlying asset increases the value of an option rises. If standard deviation is a measure of risk and investors do not particularly like it, why does it lead to an increase in an option's value?

We understand standard deviation of returns as a measure of risk and rational investors would like to minimize risk. Notwithstanding this, you may have read that as the standard deviation of returns of the underlying asset increases the value of an option rises. If standard deviation is a measure of risk and investors do not particularly like it, why does it lead to an increase in an option's value?

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter25: Portfolio Theory And Asset Pricing Models

Section: Chapter Questions

Problem 4MC: You have been hired at the investment firm of Bowers Noon. One of its clients doesnt understand the...

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We understand standard deviation of returns as a measure of risk and rational investors would like to minimize risk. Notwithstanding this, you may have read that as the standard deviation of returns of the underlying asset increases the value of an option rises. If standard deviation is a measure of risk and investors do not particularly like it, why does it lead to an increase in an option's value? (40-60 words)
True or false: The CAPM states that expected returns depend on an asset’s loading on market risk. Thus, any asset with a standard deviation greater than the standard deviation of the market portfolio must have an expected return greater than the market portfolio, since it is riskier than the market. If this were not the case, no investor would be willing to hold the risky asset in their portfolio, so markets could not clear.
Which of the following(s) would be ways to reject the CAPM? a showing that there exist a stock with zero beta with the market earns an expected return higher than the risk free rate b showing that there exist a stock that earns higher expected return than the market c Showing that a portfolio consistently generates a negative alpha d Showing that a certain factor predicts expected return even after controlling for market beta
Michael Weber, CFA, is analyzing several aspects of option valuation, including the determinants of the value of an option, the characteristics of various models used to value options, and the potential for divergence of calculated option values from observed market prices.a. What is the expected effect on the value of a call option on common stock if the volatility of the underlying stock price decreases? If the time to expiration of the option increases?b. Using the Black-Scholes option-pricing model and an estimate of stock return volatility, Weber calculates the price of a 3-month call option and notices the option’s calculated value is different from its market price. With respect to Weber’s use of the Black-Scholes option-pricing model,i. Discuss why the calculated value of an out-of-the-money European option may differ from its market price.ii. Discuss why the calculated value of an American option may differ from its market price.
Given the indifference curves above, which of the following statements isCORRECT? A) The investor prefers portfolio A because it has a lower level of risk. B) The investor prefers portfolio B because it has the greatest expected return. C) The investor prefers portfolio E because it is on the indifference curve 2, which is higher than the indifference curve 1, where both portfolios A and B are situated. D) The investor does not prefer one portfolio from another as each portfolio lies on an indifferent curve.
Explain in your own words what dynamic hedging is, and how a trader could profit by dynamically hedging an option if they have a forecast of volatility that is different to implied volatility.
Why will the standard deviation not be a good measure of risk when returns are negatively skewed? What are the risk implications for an investor for a returns series that exhibits fat tails? A price weighted index places more weight on stocks with a higher price, whilst a value weighted index places more weight on stocks with a higher market capitalization. Discuss.
A) Assume that you have some shares of stock in ABC Inc. Why do we say that if you also purchase a put option on the same stock, the price paid to buy the put option is like paying an insurance premium? B) We understand standard deviation of returns as a measure of risk and rational investors would like to minimize risk. Notwithstanding this, you may have read that as the standard deviation of returns of the underlying asset increases the value of an option rises. If standard deviation is a measure of risk and investors do not particularly like it, why does it lead to an increase in an option's value?
Which is true with regards to the systematic and unsystematic risk? To mitigate the unsystematic risk, an investor must choose two stocks that has a perfectly negative correlation when establishing ones portfolio of securities A portfolio with stocks that has high Sharpe ratios does not have both unsystematic and systematic risk because then generate excess returns The likes of inflation, recession, changes in interest rates are examples of market risk that can be reduced to zero by a portfolio that is fully diversified Systematic risk can be diversified by choosing stocks that has a small standard deviation but high correlation coefficient since these stocks are less riskier
Answer whether each of the following statements is correct and explain your argument. \ (a) According to CAPM, the expected return of a risky asset is larger than the risk free rate. (b) According to CAPM, the expected return of a risky asset increases with its variance. (c) According to the separation property, the optimal risky portfolio for an investor dependson the investor’s personal preference. (d) A less risk-averse investor has a steeper indifference curve for the utility function.
No matter how the stock price fluctuates, as long as it can provide a positive return, the risk of investing in stocks is low.If the concept of standard deviation is applied, is this true or false?
Which of the following statements is correct? A delta-neutral portfolio is protected against large changes in the underlying asset price. The delta hedging error increases as gamma decreases. To change the vega of a portfolio, we need to trade the portfolio’s underlying asset. A delta-neutral portfolio needs to be rebalanced more frequently as the gamma increases to maintain delta-neutrality. Please explain and justify your choice using your own words.