1. Consider a one period binomial model. Suppose So = 1 at t = To; and Su = 2 and Sa = at time T₁. If we assume the risk free rate R is 1.2, compute the current value of a European put with strike K = 1. Please round your answer to 2 decimals. Enter answer here 2. Compute the number of units of stock we need to short in order to replicate the option in the previous question. Please round your answer to 2 decimals. Enter answer here

1. Consider a one period binomial model. Suppose So = 1 at t = To; and Su = 2 and Sa = at time T₁. If we assume the risk free rate R is 1.2, compute the current value of a European put with strike K = 1. Please round your answer to 2 decimals. Enter answer here 2. Compute the number of units of stock we need to short in order to replicate the option in the previous question. Please round your answer to 2 decimals. Enter answer here

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the discrete-time binomial tree model with three periods of length 1, i.e. T = 3 and t = 0, 1, 2, 3. In each period the price can move up or down, St+1 is either uSt or dSt. Assume that the factor for moving up is u = 4/3, the factor for moving down is d = 3/4, and that the interest rate is r = 0.0. The initial stock price is So = 1. (a) Compute the price process (i.e. prices at all times and states) for a European Put option on the stock with strike price K = 1 and maturity T = 3. (x - ž) (b) Compute the price at time t = 0 of the Australian option K with ST K = 1. Note: As this option is path dependent, you will not be able to use the recursive method, nor will you be able to use the CRR formula.
Suppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 5%, and all stocks have independent firm- specific components with a standard deviation of 48%. Portfolios A and B are both well diversified. Portfolio A B Beta on M₁ 1.6 2.2 Beta on M₂ 2.3 -0.6 Required: What is the expected return-beta relationship in this economy? (Do not round Intermediate calculations. Round your answers to 2 decimal places.) Expected return-beta relationship E(rp) = Expected Return (%) 38 8 Answer is complete but not entirely correct. Bp1 + 5.00 % 4.43 11.26 Bp2
An investor wants to follow a spread strategy by buying a put for 6$ with a strike price of 95$ and writing a put for 4$ with a strike price of 90$. a. Draw the graph of strategy payoffs and profits b. Find the equilibrium price of this strategy (the equilibrium price is the market price of the stock where the profit is 0) c. What is the maximum profit and loss from this strategy?
b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.
D3(
Consider the two stocks below. Which has a positive beta (i.e., tends to move in the same direction as the market)? Which has a higher R2 (1.e., market returns explain more of its return patterns)? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. Stock 1 has a positive beta and a higher R² a b C d Stock 2 has a positive beta and a higher R² Stock 1 has a positive beta, but Stock 2 has a higher R Stock 2 has a positive beta, but Stock 1 has a higher R² ft RM Stock 2 Stock 1 Par
Given the following information, calculate the expected value for Firm C's EPS. Data for Firms A and B are as follows: E(EPSA) = $5.10, and σA = $3.63; E(EPSB) = $4.20, and σB = $2.94. Do not round intermediate calculations. Round your answer to the nearest cent. Probability 0.1 0.2 0.4 0.2 0.1 Firm A: EPSA ($1.61) $1.80 $5.10 $8.40 $11.81 Firm B: EPSB (1.20) 1.30 4.20 7.10 9.60 Firm C: EPSC (2.59) 1.35 5.10 8.85 12.79 E(EPSC): $ You are given that σc = $4.12. Discuss the relative riskiness of the three firms' earnings using their respective coefficients of variation. Do not round intermediate calculations. Round your answers to two decimal places. CV A B C The most risky firm is .
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 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 there
Required Rate of Return Suppose rRF = 3%, rM = 8%, and rA = 7%. Calculate Stock A's beta. Round your answer to one decimal place. If Stock A's beta were 1.1, then what would be A's new required rate of return? Round your answer to one decimal place. %
Let S = $100, K = $95, \sigma = 30%, r = 8%, T = 1, and \delta = 0. For simplicity, let u = 1.3, d = 0.8 and n = 2 (that is, 2 periods). When constructing the binomial tree for the European call option, what is A (Stock Share Purchased in the replicating portfolio) at the first node (Time 0)? Question 11 options: 0.1789 0.3886 1.0000 0.2550 0.6912
3. A bear spread payoff has the form g(ST) = max(K₂- ST, 0) - max(K₁ – ST, 0), where 0 < K₁ < K₂. (a) (b) Sketch the payoff diagram. Use the general formula for the European option pricing function to find the time-zero option price of a bear spread.

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