An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $30,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $30,000. You contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment? ..... The expected profit is $. (Type an integer or a decimal.)
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $30,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $30,000. You contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment? ..... The expected profit is $. (Type an integer or a decimal.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Investment Scenario Analysis**
An investment counselor calls with a promising stock tip. He estimates that if the economy remains strong, the investment will yield a profit of $30,000. If the economy grows at a moderate pace, the expected profit will be $10,000. In contrast, if the economy enters a recession, the investment will result in a loss of $30,000.
Seeking a second opinion, you contact an economist, who assesses the probabilities of the economic outcomes as follows:
- A 30% probability that the economy will remain strong.
- A 60% probability that the economy will grow at a moderate pace.
- A 10% probability that the economy will slip into recession.
**Question:** What is the expected profit from this investment?
\[ \text{The expected profit is } \$ \boxed{\phantom{00}} \text{. (Type an integer or a decimal.)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe83aef68-709d-4d5f-8bed-21ed8feb37b9%2F2799cf72-39a4-46dc-9321-86f95d7fa887%2Fcu5xn67_processed.png&w=3840&q=75)
Transcribed Image Text:**Investment Scenario Analysis**
An investment counselor calls with a promising stock tip. He estimates that if the economy remains strong, the investment will yield a profit of $30,000. If the economy grows at a moderate pace, the expected profit will be $10,000. In contrast, if the economy enters a recession, the investment will result in a loss of $30,000.
Seeking a second opinion, you contact an economist, who assesses the probabilities of the economic outcomes as follows:
- A 30% probability that the economy will remain strong.
- A 60% probability that the economy will grow at a moderate pace.
- A 10% probability that the economy will slip into recession.
**Question:** What is the expected profit from this investment?
\[ \text{The expected profit is } \$ \boxed{\phantom{00}} \text{. (Type an integer or a decimal.)} \]
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