A bank is considering offering a loan of $100,000 to a client. If the loan is not offered, then the bank invests the $100,000 receives a sure payoff from the investment of $200 (i.e., receives $100,200 at the end of the year). Prior to a decision of whether or not to offer the loan, the bank can run a credit analysis on the client that returns one of two possible predictions: (1) the client will default on the loan in which case the bank would lose $100,000, (2) the client will pay back the loan with interest in which case the bank receives a payoff of $6,000 (i.e., receives $106,000 at the end of the year). The probability that the credit analysis will return the first prediction (client defaults) is 1%. What is the EVPI?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%

A bank is considering offering a loan of $100,000 to a client. If the loan is not offered, then the bank invests the $100,000 receives a sure payoff from the investment of $200 (i.e., receives $100,200 at the end of the year). Prior to a decision of whether or not to offer the loan, the bank can run a credit analysis on the client that returns one of two possible predictions: (1) the client will default on the loan in which case the bank would lose $100,000, (2) the client will pay back the loan with interest in which case the bank receives a payoff of $6,000 (i.e., receives $106,000 at the end of the year). The probability that the credit analysis will return the first prediction (client defaults) is 1%. What is the EVPI?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON