6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the setof 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; ≤ SMfor any j. What is the significance of this condition when interpreted in thecontext of the capital market line? (5)Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determinethe expected return from holding one unit of asset j for oneperiod. (2)Given your answer to c.), what could you conclude (from the perspective ofthe security market line) if a market survey indicated that the forecasted one-period return on asset j was 8 percent? Describe and motivate the rationaltrading response that is consistent with your conclusion. (4)

c. Expected Return using CAPM (Example):Given:Beta (B) = 0.8 (replace B with βj for the specific…

Answered: 6. Equilibrium pricing: Let the…

Financial Reporting, Financial Statement Analysis and Valuation

8th Edition

ISBN:9781285190907

Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw

Publisher:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw

Chapter11: Risk-adjusted Expected Rates Of Return And The Dividends Valuation Approach

Section: Chapter Questions

Problem 4QE

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Suppose the demand functions for two products are q1 = f(p1, p2) and q2 = g(p1, p2) wherep1, p2, q1, and q2 are the prices (in dollars) and quantities for products 1 and 2. Consider thefour partial derivatives∂q1/∂p1,∂q1/∂p2,∂q2/∂p1and ∂q2/∂p2,State the sign of each of these partial derivatives if:(a) the products are complementary goods(b) the products are substitute goods.
2. Suppose that you have a riskfree asset and N risky assets for investment. The rate of return on the riskfree asset is r,, while the (Nx1) vector of the rate of return on the N risky assets is r, which is multivariate normal, i.e., r N(u, E). Your utility function for a portfolio that consists of the riskfree asset and the N risky asset is u(r,)=r,-=o, 2 Suppose that the sum of investment proportions on the riskfree and risky assets is one. Answer the following question. A. What is your optimal investment proportion in the risky assets? How is your investment on the riskfree asset affected by different values of 2? B. Suppose that there is only one risky asset i. Show the effects of the Sharpe ratio (4,/0, ) on the investment proportion in the risky asset.
Rm-R is read as: O a. The return offered by the market over and above the risk-free rate O b. Market risk premium- Oc. Excess return on the market C. Od. All options are correct
Think about whether a risk-free asset should earn a risk-premium beyond the risk-free rate. Thinking about that should give you an idea of the beta for a risk-free asset. Or, look again at the CAPM equation: E(Ri)=Rf+βi[E(RM)−Rf] Given this equation, what beta sets the E(R) of the risk free asset equal to the risk-free rate? A) zero B) 0.5 C) 1.0 D) its random
Derive the Karush-Kuhn-Tucker conditions for this Bid-price policy program (also shown in the image for clarity),min J˜µT(x)s.t. µ ≥ 0with variable µ ∈ ℝ^m. In particular, show that an optimal solution µ* to this program must satisfy the constraints in the image below:
4. Valuation of a Derivative Consider a derivative on a stock with the time to expiration T and the following payoff: 0 K₁ 0 if ST K₁. What is the present value of the derivative? Provide an analytic expression of the price using N(), the cumulative probability distribution function of a standard normal random variable.
Consider the following two scenarios whereby the cost-of-carry model is violated. You are required to select appropriate missing words and fill in question 1. a. long b. spot c. over priced d. short arbitrage e. under priced f. long arbitrage g. futures h. short Question 1 a. If ft >S0 (1 + rf - d)^t, then the( ) is ( )relative to ( ) or equivalently, the quoted futures price is higher than what it should be. Thus, the correct arbitrage strategy should be: ( ) the futures contract and ( )the spot market. This strategy is also known as ( ). b. If ft <S0 (1 + rf - d)^t, then the( ) is ( )relative to ( ) or equivalently, the quoted futures price is lower than what it should be. Thus, the correct arbitrage strategy should be: ( ) the futures contract and ( )the spot market. This strategy is also known as ( ).
4) Assume the index model is valid, what inputs will be required to determine covariance between two assets? A) βk B) βL C) σM D) all of the options E) None of the options are correct. Choose the correct answer with justification
A forward contract has an underlying asset which, in Cox-RossRubenstein notation, has S=22,u=1.2 and d=0.9. This forward contract matures in one time step and the return over this time step is R=1.02. Assuming the forward price is calculated rationally, what is the value of the forward at node (1,1)? (Give your answer as a positive number.)
Consider the following linear regression model: (R₁-r)= a; + b(RMkt - rf) + e; The b; in the regression: O measures the deviation from the best fitting line and is zero on aver- measures the sensitivity of the security to market risk. measures the diversifiable risk in returns.
The NPV profile: O A. shows the payback period the point at which NPV is positive. O B. shows the internal rate of return the point at which NPV is zero. OC. shows the NPV over a range of discount rates. O D. B and C are correct.
Problem 4. Consider tuo scenarios, wi with probability and w with probability Suppose that the return on sonie security is K retum on another security is K uch that the tu0 socurities hane the same risk = -2% in the first scenario and K = 6% in the second scenario. If the = -3% in the first scenario, find the return K in the other scenario

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