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The value of a stock follows a Geometric Brownian motion, with drift of 9% and diffusion of 12%. Consider V(S,t) 54e-t/10, a financial derivative that
The value of a stock follows a Geometric Brownian motion, with drift of 9% and diffusion of 12%. Consider V(S,t) 54e-t/10, a financial derivative that also follows a Geometric Brownian motion. (a) Find the drift value for the stochastic process followed by V. (b) Find the diffusion value for the stochastic process followed by V. (c) Assume that you sell 18 of these derivatives V at time t = 15 and that S = 10. What is your hedge position? (d) How many shares? (A) 0.37 (B) 0.35 (C) 0.41 (D) 0.43 (E) 0.39 Select Part (a) choices. (A) 0.52 (B) 0.48 (C) 0.54 (D) 0.50 (E) 0.56 Select Part (b) choices. (A) Short (B) Long 1: Select 1 Part (C) choices. (A) 16065.39 (B) 16065.41 (C) 16065.43 (D) 16065.37 (E) 16065.35 The value of a stock follows a Geometric Brownian motion, with drift of 9% and diffusion of 12%. Consider V(S,t) 54e-t/10, a financial derivative that also follows a Geometric Brownian motion. (a) Find the drift value for the stochastic process followed by V. (b) Find the diffusion value for the stochastic process followed by V. (c) Assume that you sell 18 of these derivatives V at time t = 15 and that S = 10. What is your hedge position? (d) How many shares? (A) 0.37 (B) 0.35 (C) 0.41 (D) 0.43 (E) 0.39 Select Part (a) choices. (A) 0.52 (B) 0.48 (C) 0.54 (D) 0.50 (E) 0.56 Select Part (b) choices. (A) Short (B) Long 1: Select 1 Part (C) choices. (A) 16065.39 (B) 16065.41 (C) 16065.43 (D) 16065.37 (E) 16065.35
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