You are a homeowner that has accepted a new job. The new job requires a commute that is undesirably long, but not impossible. You would like to sell your home and move into a new one nearer your job. Your discount rate for the funds received from the sale is 8% (annualized). Potential buyers will come, view and inspect the home, and negotiate a price offer. Your decision is to set (in your mind) the lowest such offer you are willing to accept. For simplicity, we will assume your decision must be an increment of 10K (i.e., 500K, 510K, 520K etc.) We will not go into the details of the negotiating process, and just assume that the eventual price offers come from a random process described below. 4. For-Sale-by-Owner. If you sell on your own, you will generate price offers that are uniformly distributed between [500K, 550K] USD, and will attract one offer every 2 months. However, as commission, the buyer’s agent will get 3% of the sale price (you will get the other 97%). a. To maximize the expected present value of the sales proceeds, what is the lowest price you should be willing to accept (again, restricting attention to increments of $10K)? b. Using your solution to part (a), what is the expected present value of the sales proceeds? c. Using your solution to (a), what is the expected value of the sale price? d. Comment on how the expected sale price is not a sufficient metric for the value of setting any particular lowest-acceptable-price.
You are a homeowner that has accepted a new job. The new job requires a commute that is undesirably long, but not impossible. You would like to sell your home and move into a new one nearer your job. Your discount rate for the funds received from the sale is 8% (annualized). Potential buyers will come, view and inspect the home, and negotiate a price offer. Your decision is to set (in your mind) the lowest such offer you are willing to accept. For simplicity, we will assume your decision must be an increment of 10K (i.e., 500K, 510K, 520K etc.) We will not go into the details of the negotiating process, and just assume that the eventual price offers come from a random process described below. 4. For-Sale-by-Owner. If you sell on your own, you will generate price offers that are uniformly distributed between [500K, 550K] USD, and will attract one offer every 2 months. However, as commission, the buyer’s agent will get 3% of the sale price (you will get the other 97%). a. To maximize the expected present value of the sales proceeds, what is the lowest price you should be willing to accept (again, restricting attention to increments of $10K)? b. Using your solution to part (a), what is the expected present value of the sales proceeds? c. Using your solution to (a), what is the expected value of the sale price? d. Comment on how the expected sale price is not a sufficient metric for the value of setting any particular lowest-acceptable-price.
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
You are a homeowner that has accepted a new job. The new job requires a commute that is undesirably long, but not impossible. You would like to sell your home and move into a new one nearer your job. Your discount rate for the funds received from the sale is 8% (annualized). Potential buyers will come, view and inspect the home, and negotiate a price offer. Your decision is to set (in your mind) the lowest such offer you are willing to accept. For simplicity, we will assume your decision must be an increment of 10K (i.e., 500K, 510K, 520K etc.)
We will not go into the details of the negotiating process, and just assume that the eventual price offers come from a random process described below.
4. For-Sale-by-Owner. If you sell on your own, you will generate price offers that are uniformly distributed between [500K, 550K] USD, and will attract one offer every 2 months. However, as commission, the buyer’s agent will get 3% of the sale price (you will get the other 97%).
a. To maximize the expected present value of the sales proceeds, what is the lowest price you should be willing to accept (again, restricting attention to increments of $10K)?
b. Using your solution to part (a), what is the expected present value of the sales proceeds?
c. Using your solution to (a), what is the expected value of the sale price?
d. Comment on how the expected sale price is not a sufficient metric for the value of setting any particular lowest-acceptable-price.
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
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