Let S = $50, r = 4% (continuously compounded), d = 1%, s = 40%, T = 1.5. In this situation, the appropriate values of u and dare 1.44616 and 0.72332, respectively. Using a 2-step binomial tree, calculate the value of a $55-strike European put option. a. $9.203 b. $11.323 C. $11.205 d. $10.874 e. $10.552

Let S = $50, r = 4% (continuously compounded), d = 1%, s = 40%, T = 1.5. In this situation, the appropriate values of u and dare 1.44616 and 0.72332, respectively. Using a 2-step binomial tree, calculate the value of a $55-strike European put option. a. $9.203 b. $11.323 C. $11.205 d. $10.874 e. $10.552

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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2. 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.
Let S = $50, r = 4% (continuously compounded), d = 1%, s = 40%, T = 1.5. In this situation, the appropriate values of u and d are 1.44616 and 0.72332, respectively. Using a 2-step binomial tree, calculate the value of a $55-strike European put option. a. $9.203 b. $11.323 c. $11.205 d. $10.874 e. $10.552
Using the attached option pricing model and related data K = 45; St = 40 t = 4/12; r =03; SD/σ = 0.4; N = 0.07, calculate the value of the call option
You are evaluating a put option based on the following information: P = Ke-H•N(-d,) – S-N(-d,) Stock price, So Exercise price, k = RM 11 = RM 10 = 0.10 Maturity, T= 90 days = 0.25 Standard deviation, o = 0.5 Interest rate, r Calculate the fair value of the put based on Black-Scholes pricing model. Cumulative normal distribution table is provided at the back.
Economics Compute (F/A,%13,20) using the closed-form formula and call that X Also approximate it; by applying linear interpolation between the values obtained from "compound interest factors" table for (F/A,%12,20) and (F/A,%15,20) and call that y. What is X- y? Choose the closest value to your answer. A 0 (B) 11.3664 c) -11.3664 D 1.2358 E) -1.2358
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
Economics Compute (F/A, %13,20) using the closed-form formula and call that X, Also approximate it; by applying linear interpolation between the values obtained from "compound interest factors" table for (F/A,%12,20) and (F/A,%15,20) and call that Y. What is X-y? Choose the closest value to your answer. A 11.3664 C 1.2358 D -1.2358 11.3664
In the context of single period binomial option pricing model with p*d = 0.75 and rf = 0.25 the values of the state price must be equal to A. PV$1u = $0.20 and PV$1d =$0.60 B. PV$1u = $ 0.25 and PV$1d = $0.50 C. PV$1u = $0.20 and PV$1d = $0.50 D. PV$1u = $0.60 and PV$1d =$0.20
A Vanilla American put and European put options with the same underlying, time to expiry and strike price $26.00, the underlying asset S (0) is $26 and the return over each period R=1.06. CRR notation d=0.8 and u=1.25 Construct a three-step binomial pricing tree for both the Vanilla American and European put options and calculate the premiums. Please Show all working.
1) Using the Black and Scholes formula, for each payoff compute the price, delta and probability of being exercised: 1a) A call, K=90, So=100, T=0.25, o=0.2 and r=0.01. 1b) A put, K=37, So=35, T=0.3, o=0.3 and r=0.02. 1c) A call, K=23, So=24, T=5 months, o=24% and r=2%. 1d) A call, K=95% of So, So=50, T=9 months, o=50% and r=3%. 1e) A put, K=97% of So, So=95, T=1 year, o=D30% and r=2%. 1f) An "at-the-money" straddle, So=95, T = 3 months, o=35% and r=2%.
We will derive a two-state put option value in this problem. Data: S0 = $180; X = $190; 1 + r = 1.10. The two possibilities for ST are $210 and $110.a. The range of S is $100 while that of P is $80 across the two states. What is the hedge ratio of the put? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) (The answer for this one is -.80) :)b. Form a portfolio of four shares of stock and five puts. What is the (nonrandom) payoff to this portfolio? (Round your answer to 2 decimal places.) c. What is the present value of the portfolio? (Round your answer to 2 decimal places.) d. Given that the stock currently is selling at $180, calculate the put value. (Do not round intermediate calculations and round your answer to 2 decimal places.)
Let S = $85, r = 4% (continuously compounded), d = 3%, s = 35%, T = 1.5. In this situation, the appropriate values of u and d are 1.36426 and 0.74408, respectively. Using a 2-step binomial tree, calculate the value of a $80-strike European call option.

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