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Delta [LO2] What are the deltas of a call option and a put option with the following characteristics? What does the delta of the option tell you?
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Chapter 25 Solutions
Fundamentals of Corporate Finance
- 1/(1 + r)t is the formula for: Question 22 options: The compounding factor The risk-free interest rate Present value The discount factorarrow_forwardD3) Finance Consider an option with α being a non-negative parameter and the option pays ((S(T))α − K)+ at maturity date T. Let Cα(S(0), σ, r) be the risk neutral price of the option (with interest rate r and volatility σ) when the initial price is S(0). Obviously, C1(S(0), σ, r) = C(S(0), σ, r) is the price of an ordinary call option. Show that, Cα(S(0), σ, r) = e(α−1)(r+ασ2/2)TC((S(0))α, ασ, rα), where rα = α(r − σ2/2) + α2σ2/2.arrow_forwardReturn 0 [Ch 13] Use the information provided in the graph to answer the next three problems. 4 2 20 18- 16 14- 12- 10 8 6 SML 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Beta 22. What is the risk-free rate of return? (to nearest 0.1%) % 23. What is the market risk premium? (to nearest 0.1%) %arrow_forward
- Question 1 (Mandatory) Which of the following equations calculates a put option's value? Os.et. N(d2) - K N(da) OK.ert. N(d2) - S. N(d) Os.e*t. N(-d2) - K N(-dg) OK.et.N(-d2)- S N(-d1) Question 2 (Mandatory) The forward price is determined at contract initiation but changes during the life of the forward contract. O True Falsearrow_forwardAssuming your utility function U = E(r) - Ao². Consider the investments shown in the table. If your risk aversion coefficient is -2, which investment would you choose? Investment E[r] #1 #2 #3 #4 #2 #3 #4 #1 12% 15% 15% 24% σ 40% 40% 30% 40%arrow_forwardABC Betal 1.05 0.90 Suppose you observe the following situation: Assume these securities are correctly priced. Based on the CAPM, expected return on the market? What is the risk-free rate? XYZ Expected Return 12.3 11.8arrow_forward
- Using the SML [LO4] Asset W has an expected return of 11.8 percent and a beta of 1.15. If the risk-free rate is 3.7 percent, complete the following table for portfolios of Asset W and a risk-free asset. Illustrate the relationship between portfolio expected return and portfolio beta by plotting the expected returns against the betas. What is the slope of the line that results? Percentage of Portfolio in Asset W 0% 25 50 75 100 125 150 Portfolio Expected Return Portfolio Betaarrow_forwardMoving to another question will save this response. Quèstion 7 What is the other name for fim-specific risk? O Systematic risk O Market risk O Micro-cap risk O Undiversifiable risk O Diversifiable risk A Moving to another question will save this response. Mac 20 F3 O00 DO0 F4 esc F1 F2 #3 2$ 2 4 W E Rarrow_forwardConsider a two-factor Arbitrage Pricing Theory (APT) model, T; = a; + b1,ifı + b2.i f2 + €i, with the following information Asset i Asset 1 0.07 0.50 0.25 Asset 2 0.15 1.10 0.75 Asset 3 0.20 b1,3 Hi b1i b2i 1.0 and the risk-free rate rp is 0.025. (a) Find the value of b13 to preclude arbitrage opportunity. (b) is an Asset 4 with 4 = 0.13, b14 = 0.8, and b2.4 = 0.4. Explain how you would exploit an arbitrage opportunity if therearrow_forward
- Required Return Beta Risk-Free Rate Market Return A 12.5% 0.90 8% ? B 9.0% 1.3 ? 8% C 10.0% ? 7.5% 10.5% a. What is the market return? b. What is the Risk-free rate? c. What is the beta?arrow_forwardA Moving to another question will save this response. Question 14 The market compensates investors for accepting which type(s) of risk? O None of the listed selections are correct O market and firm-specific risk O market risk only O firm-specific risk only O diversifiable risk A Moving to another question will save this response. MacBoc esc F1 F2 F3 F4 F5 # $ 2 4 W E T 60arrow_forward1. Suppose there are three complex securities and three different states as follows: Security So S₁(1) S₁ (2) S₁ (3) 1.2 3 0 0 1.8 4 2 0 1.2 2 1 1 2 10 4 A B C D (a) Find the arbitrage-free price of asset D. (b) What is the risk-free return compatible with these asset prices?arrow_forward
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