An amount of $10,000 is to be invested for three years. The yield rate for the first year will beequally likely to be 5%, 6%, 7%, 8% or 9%; for the second year will be equally likely to be 7% or9%; for the third year will be 7%, 8% or 9% with probabilities 0.3, 0.5 and 0.2, respectively. Theyield rates in different years are independent. Find the probability that the accumulation of theinvestment for the three years will be greater than its expected value.

Answered: Image /qna-images/answer/cb99979f-2bad-4e5d-bd2d-cf74d7f32ff1.jpg

Answered: An amount of $10,000 is to be invested…

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...

See similar textbooks

Similar questions

The owner of a small business is considering three options: buying a computer, leasing a computer, or getting along without a computer. Based on the information obtained from the firm's accountant, the following payoff table (in terms of net profit) was developed: State of Nature State # 1 State # 2 State # 3 Alternative (S1) (S2) (S3) A1 4. A2 7. A3 3 4 6. Based on the probability for each state of nature in the previous question (the probability for S1 to happen equals the probability of S2; the probability for S2 to happen is three times of S3). Which decision alternative should be selected based on the expected payoff? O A3 O A2 O A1 O Can't be computed with the given information
Suppose a distribution center is considering three options for expansion. The first one is to expand into a new plant, the second to add on third-shift to the daily schedule, and third, a small expansion to the existing facility. There are three possibilities for demand. These are high, medium, and low having probabilities of 40%, 33%, and 27% respectively. Suppose that the profits for the expansion plans are as follows: The new plant expected outcomes are $110,000, $50,000, -$15,000, the third shift consideration would result in outcomes of $40,000, $20,000, $-5,000 and the small expansion choice would in the following dollar amounts $15,000, $13,000, -$1,500. The amount that the company must invest in each alternative is: new plant = $48,000, third shift = $15,100, small expansion = $8,700 a. The profit/loss (EMV) for the new plant is $ [Select] b. The profit/loss (EMV) for adding a third shift is $ [Select] c. The profit/loss (EMV) for the small expansion is $ [Select] d. Which of…
Johnson Chemicals is considering two options for its supplier portfolio. Option 1 uses two local suppliers. Each has a "unique-event" risk of 4.5%, and the probability of a "super-event" that would disable both at the same time is estimated to be 1.3%. Option 2 uses two suppliers located in different countries. Each has a "unique-event" risk of 14%, and the probability of a "super-event" that would disable both at the same time is estimated to be 0.18%. a) The probability that both suppliers will be disrupted using option 1 is ____ (round your response to five decimal places). b) The probability that both suppliers will be disrupted using option 2 is _____ (round your response to five decimal places).
4. A merchant stocks a certain perishable item. He knows that on any given day, he will have a demand for either 2, 3, or 4 of this items with probabilities 0.1, 0.4 and 0.5 respectively. What is the average daily demand?
In an amusement arcade there is a horse race with horses coloured red, yellow and green. Only one player can play this game at any time and the outcomes of each race are independent of previous races. You can either bet 10p or 20p. If you bet 10p then each horse is equally likely to win. If you bet 20p the corresponding probabilities are 50%, 30% and 20%, respectively. Three times as many people bet 10p as do 20p. Given red wins, what is the probability it had been a 20p bet? 0.333 0.300 0.313 0.298
Suppose that Trendy Inc. products a style of a seasonal business suit, Sit-T-Slicker, which has a cost of $500 per unit. The demand during the season for Sit-T-Slicker is generally unknown and could be either: 200, 500, 800, 1100, and 1500 units with equal probabilities. Trendy sells the Sit-T-Slicker suit for $900 per unit during its three-month season, and for $300 per unit when sold after that time. Given the above data, what is the optimal order quantity for the Sit-T-Slicker? What is expected profit? Suppose the probabilities in part a change to 0.05, 0.25, 0.40, 0.25, 0.05 for demand levels 200, 500, 800, 1100, 1500, respectively. What is the optimal order quantity and expected profit in this case? How would better information regarding the demand for the Sit-T-Slicker suit change the data provided in this problem? How would this information affect the answers to part a? Explain.
C. Determine how much the firm would be willing to pay to a market research firm to gain better information about future market conditions. 10. An investor must decide between two altemative investments-stocks and bonds. The return for each investment, given two future economic conditions, is shown in the following payoff table: Economic Conditions Investment Good Bad Stocks S10,000 S-4.000 Bonds 7.000 2,000 What probability for each economic condition would make the investor indifferent to the choice between stocks and bonds? 11.In Problem 5, Ann Tyler, with the help of a financial newsletter and some library research, has been able to assign probabilities to each of the possible interest rates during the next year, as follows:
Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$ Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…
If the famous insurance company, Lloyd’s of London, insures a $3 million Monet painting for $5000 per year. And, in each year, the painting has a .00021 chance of being stolen according to the Lloyd’s research team? From Lloyd’s perspective, find the expectation for insuring this painting for one year
You have done risk analysis and determine the following risks and their probabilities could affect your project. Based on these risks, what should you contingency reserve be? Risk 1: 50% chance of a weather delay costing $5,000Risk 2: 20% chance of a worker strike costing $10,000Risk 3: 10% chance of catastrophic failure costing $50,000
You are considering purchasing stand-alone shares in two companies: Company A and Company B. While both companies expect a rate of return of 15% under normal market conditions, the possible returns under strong and weak economies differ. There is a 30% chance of a weak economy outcome, a 30% chance of a strong economy outcome, and a 40% chance of a normal outcome. For Company A, under a strong economy, they expect a return of 75%. Under a weak economy, they expect a return of -45%. For Company B, under a strong economy, they expect a return of 23%. Under a weak economy, they expect a return of 7.5%. 1. Create a probability distribution table for both companies. 2. Calculate the standard deviation for both companies. 3. With the distribution, create either a bar graph or a bell curve to graph the two companies. 4. From your calculations, describe which company you would consider investing in, if you were risk averse.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS