Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $9,800 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,800 and $14,700. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)? 1 What amount should you bid to maximize the probability that you get the property (in dollars)? tho amount shown in
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $9,800 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,800 and $14,700. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)? 1 What amount should you bid to maximize the probability that you get the property (in dollars)? tho amount shown in
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
Related questions
Question
![### Bidding on a Piece of Land: Probabilities and Strategy
Suppose we are interested in bidding on a piece of land, knowing that one other bidder is also interested. The seller has announced that the highest bid exceeding $9,800 will be accepted. Assume the competitor's bid, \( x \), is a random variable uniformly distributed between $9,800 and $14,700.
- **Scenario 1**: Suppose you bid $12,000. What is the probability that your bid will be accepted? (Round to 2 decimal places)
- [Input Box]
- **Scenario 2**: Suppose you bid $14,000. What is the probability that your bid will be accepted? (Round to 2 decimal places)
- [Input Box]
- **Optimal Bid Strategy**: What amount should you bid to maximize the probability of obtaining the property? (Provide the amount in dollars)
- [Input Box]
- **Profit Maximization**: Suppose you know someone is willing to pay you $16,000 for the property. You are considering the bid from part (c), but a friend suggests you bid $12,900. If your goal is to maximize expected profit, what should your bid be?
- [Dropdown Selection]
- **Expected Profit Calculation**: What is the expected profit for this bid (in dollars)?
- [Input Box]
Explore these scenarios and input your answers to determine the best bidding strategy and expected outcomes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d9a5f0-fe4e-422d-8c50-a22c93ec0936%2Fe87796bb-0d4a-4bf8-8c59-b07d2e40796c%2Fisr3hw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Bidding on a Piece of Land: Probabilities and Strategy
Suppose we are interested in bidding on a piece of land, knowing that one other bidder is also interested. The seller has announced that the highest bid exceeding $9,800 will be accepted. Assume the competitor's bid, \( x \), is a random variable uniformly distributed between $9,800 and $14,700.
- **Scenario 1**: Suppose you bid $12,000. What is the probability that your bid will be accepted? (Round to 2 decimal places)
- [Input Box]
- **Scenario 2**: Suppose you bid $14,000. What is the probability that your bid will be accepted? (Round to 2 decimal places)
- [Input Box]
- **Optimal Bid Strategy**: What amount should you bid to maximize the probability of obtaining the property? (Provide the amount in dollars)
- [Input Box]
- **Profit Maximization**: Suppose you know someone is willing to pay you $16,000 for the property. You are considering the bid from part (c), but a friend suggests you bid $12,900. If your goal is to maximize expected profit, what should your bid be?
- [Dropdown Selection]
- **Expected Profit Calculation**: What is the expected profit for this bid (in dollars)?
- [Input Box]
Explore these scenarios and input your answers to determine the best bidding strategy and expected outcomes.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps

Recommended textbooks for you

Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,



Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,



Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,

Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education