You have six investment options based on the following three given stocks (X, Y, and Z): State of Economy Boom Normal Bust Probability Rx 0.2 0.5 0.3 Ry Rz 2% 20% 30% 9% 12% 17% 27% -2% -5%
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- Suppose that three stocks (A, B, and C} and two common risk factors (1 and 2) have the following relationship: E(RA) = (1.1)A1 + (0.8)A2 E(RB) = (0.7)A1 + (0.6)A2 E(RC) = (0.3)A1 + (0.4)A2 a. If A1 = 4 percent and A2 = 2 percent, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $30 and will not pay a dividend in the next year. b. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $31.50, $35.00, and $30.50. Create and demonstrate a riskless, arbitrage investment to take advantage of these mispriced securities. What is the profit from your investment? You may assume that you can use the proceeds from any necessary short sale. Problems 13 and 14 refer to the data contained in Exhibit 7.23, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). {Note: You may find it…The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 0.4 0.45 o (R) E[R] Figure (1) shows an investor with a conservative investment behavior. 0.3 0.25 0.2 0.15 0.1 0.05 0 0 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. 0.05 0.1 0.15 In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. O In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. Figure 2 0.2 0.25 o(R) 0.3 0.35 0.4 0.45
- Find the Expected Return on Market Portfolio given that the Expected Return on Stock Y is 0.156 and Risk Free Rate is 6% and the Beta for Stock Y is 0.5 Select one: a. 0.2520 b. None of the options C. 0.17 d. 0.1320 e. 0.37202. Derive the single - period binomial model for a put option. Include a single - period example where: u = 1.10, d = 0.95, Rf = 0.05, SO = $100, X = $100. 3. Assume ABC stock's price follows a binomial process, is trading at SO = $100, has u 1.10, d = 0.95, and probability of its price increasing in one period is 0.5 (q = 0.5). a. Show with a binomial tree ABC's possible stock prices, logarithmic returns, and probabilities after one period and two periods. . b. What are the stock's expected logarithmic return and variance for 2 periods and 3 periods? c. Define the properties of a binomial distribution.You are exploring the use of APT in making investment choices. You have identified three factors labelled F1, F2, and F3 with corresponding risk premia RP1 = 3%, RP2 = 6%, and RP3 = 2%. A stock with ticker ABC has historically shown returns which have followed the equation: rABC=0.14+.50F1+1.20F2+.8F3+eABC What is the equilibrium rate of return for stock ABC using the APT, if the T-bill rate is 5%?
- 3. A Consider two portfolios: Portfolio A consists of one European call option plus an zero which pays K at time T; Portfolio B consists of one European put option plus a share of the underlying stock. The stock pays no dividend. Both options have the same underlying stock, the same expiration date T and the strike price K. Graph the time-T value of both portfolios (in separate pictures) as functions of the stock price S = S(T).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.Select 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.
- Question 3 a) You intend to construct a 2-asset portfolio. Three stock candidates are available with the following probability distribution of their returns: Return on Return on Return on Probability Stock X Stock Y Stock Z (%) (%) (%) 0.35 0.4 5 10 9 12 0.25 4 14 i) ii) How many 2-asset portfolio combinations can be created? Provide their names. Compute the covariance between the returns of various stock combinations Provide an estimate of correlation between returns of various stock combinations Which stocks emerges as the most ideal candidates to be held as a portfolio? Why? iv) b) “There is no alpha in an efficient markeť". In light of this statement, briefly describe market efficiency and its forms and why an investor may not be able to locate stocks that provide a positive alpha (undervalued stocks) consistently. (150 – 200 words)Consider the following portfolio. You write a put option with exercise price 90 and buy a put option on the same stock with the same expiration date with exercise price 95.a. Plot the value of the portfolio at the expiration date of the options.b. On the same graph, plot the profit of the portfolio. Which option must cost more?You are considering two stocks and have determined the following information: Stock A The return on Stock A: The return on Stock B: Standard deviation of Stock A: Standard deviation of Stock B: a. Which of the two stocks has the higher expected return? Round your answers to two decimal places. % Stock B % -Select- Return 30% 16 13 Return 35% 12 9 -Select- ✓has the higher expected return. b. Which stock is riskier? Do not round intermediate calculations. Round your answers to two decimal places. -Select- ✓is riskier. c. Given your answers to the two previous questions, what stock is preferred? ✓is preferred. Probability of the Return 25% 55 20 Probability of the Return 30% 20 50