Consider an asset S with price function S = 2+2t S(t) = S=8-t for tЄ [0,2], for tЄ [2,4], St² 8t+20 for tЄ [4,6]. (a) Sketch the graph of S(t). - (b) Calculate the continuous arithmetic average of S over the interval 0 ≤ t ≤ 6. (c) Calculate the discrete arithmetic and discrete geometric average of S, where the discrete sampling points are take at times t = t; = ist for i = 0, 1, 2,...6 with St = 1. (d) What is the payoff of a European-style discrete geometric average rate call option which expires at t = T = 6 with E = 4.2? (e) What is the payoff of a European-style continuous arithmetic average strike put which expires at t = T = 6? (f) Consider a stop-loss option with λ = 5/6. At what time will this option be exercised? What will be the payoff?

Consider an asset S with price function S = 2+2t S(t) = S=8-t for tЄ [0,2], for tЄ [2,4], St² 8t+20 for tЄ [4,6]. (a) Sketch the graph of S(t). - (b) Calculate the continuous arithmetic average of S over the interval 0 ≤ t ≤ 6. (c) Calculate the discrete arithmetic and discrete geometric average of S, where the discrete sampling points are take at times t = t; = ist for i = 0, 1, 2,...6 with St = 1. (d) What is the payoff of a European-style discrete geometric average rate call option which expires at t = T = 6 with E = 4.2? (e) What is the payoff of a European-style continuous arithmetic average strike put which expires at t = T = 6? (f) Consider a stop-loss option with λ = 5/6. At what time will this option be exercised? What will be the payoff?

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter5: Probability: An Introduction To Modeling Uncertainty

Section: Chapter Questions

Problem 16P: The following table provides a probability distribution for the random variable y. a. Compute E(y)....

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