2. Consider a trader with initial fund given by To = 15, and the transaction cost function of holding q shares of stock i is C(q) = 10 + q². The price (x₂) at which this trader sells its position is stochastically distributed according to the following probability distribution: (0.5, 0.5, if x₂ = $2 if x₁ = $8 Let a random variable ♬ be the profit of trading at each time t, t = 1, 2, …, T, (a) If the trader's utility function is given by 1 u(ñ) = µ(ñ) — -—-0(ñ), P(x₁) = where μ() is the mean and o() is the variance, determine the trader's optimal level of position, and the associated equilibrium profits from liquidate the complete position.
2. Consider a trader with initial fund given by To = 15, and the transaction cost function of holding q shares of stock i is C(q) = 10 + q². The price (x₂) at which this trader sells its position is stochastically distributed according to the following probability distribution: (0.5, 0.5, if x₂ = $2 if x₁ = $8 Let a random variable ♬ be the profit of trading at each time t, t = 1, 2, …, T, (a) If the trader's utility function is given by 1 u(ñ) = µ(ñ) — -—-0(ñ), P(x₁) = where μ() is the mean and o() is the variance, determine the trader's optimal level of position, and the associated equilibrium profits from liquidate the complete position.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
if u can answer the first question it would be helpful. Thank you.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education