As the owner of a family farm whose wealth is $200,000, you must choose between sitting this season out and investing $100,000 in a safe money market fund paying 5 percent (option 1) or planting summer corn (option 2). Planting costs $100,000, with a six-month time to harvest. If there is rain, planting summer corn will yield $400,000 in revenues at harvest: If there is a drought, then planting will yield $100,000 in revenues. As a third choice (option 3), you can purchase AgriCorp drought-resistant corn at a cost of $150,000 that will yield $400,000 in revenues at harvest if there is rain, and $400,000 in revenues if their is a drought. You are risk averse, and your preference for family wealth (W) is specified by the relationship U(W)=√W. The probability of a summer drought is 15 percent, while the probability of summer rain is 85 percent. Which of the three options should you choose? Explain. You should choose because it generates the highest

Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter27: Investment, The Capital Market, And The Wealth Of Nations
Section: Chapter Questions
Problem 13CQ
icon
Related questions
Question
As the owner of a family farm whose wealth is $200,000, you must choose between sitting this season out and investing
$100,000 in a safe money market fund paying 5 percent (option 1) or planting summer corn (option 2). Planting costs
$100,000, with a six-month time to harvest. If there is rain, planting summer corn will yield $400,000 in revenues at harvest: If
there is a drought, then planting will yield $100,000 in revenues. As a third choice (option 3), you can purchase AgriCorp
drought-resistant corn at a cost of $150,000 that will yield $400,000 in revenues at harvest if there is rain, and $400,000 in
revenues if their is a drought. You are risk averse, and your preference for family wealth (W) is specified by the relationship
U(W) = √W.
The probability of a summer drought is 15 percent, while the probability of summer rain is 85 percent.
Which of the three options should you choose? Explain.
You should choose
because it generates the highest
Transcribed Image Text:As the owner of a family farm whose wealth is $200,000, you must choose between sitting this season out and investing $100,000 in a safe money market fund paying 5 percent (option 1) or planting summer corn (option 2). Planting costs $100,000, with a six-month time to harvest. If there is rain, planting summer corn will yield $400,000 in revenues at harvest: If there is a drought, then planting will yield $100,000 in revenues. As a third choice (option 3), you can purchase AgriCorp drought-resistant corn at a cost of $150,000 that will yield $400,000 in revenues at harvest if there is rain, and $400,000 in revenues if their is a drought. You are risk averse, and your preference for family wealth (W) is specified by the relationship U(W) = √W. The probability of a summer drought is 15 percent, while the probability of summer rain is 85 percent. Which of the three options should you choose? Explain. You should choose because it generates the highest
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Opportunity Cost
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Macroeconomics: Private and Public Choice (MindTa…
Macroeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506756
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning