1.) Two projects A and B have the potential uniform annual benefits and their as
ID: 1095992 • Letter: 1
Question
1.) Two projects A and B have the potential uniform annual benefits and their associated probabilites of occurrence as shown below.
Project A Project B
EUAB, $ Probability EUAB, $ Probability
1,000 0.10 1,500 0.20
2,000 0.30 2,500 0.40
3,000 0.40 3,500 0.30
4,000 0.20 4,500 0.10
The expected value of these project are:
a. $1,650 and $1,987
b. $2,700 and $2,800
c. $3,650 and $3,245
d. $2,210 and $2,151
2.) An investment opportunity has the potential of generating yearly revenues with the associated probabilities for the next five years as shown below. The salvage value at the end of five years is 0. The potential revenue in any given year is independent of any other year. What are the mean and standard deviation of the present worth, using an interest rate of 12%?
Potential Revenue, $ Probability
20,000 0.30
30,000 0.40
50,000 0.20
60,000 0.10
Select one:
a. $222,480 and $81,503
b. $235,652 and $65,238
c. $111,070 and $38,802
d. $122,570 and $48,901
3.) What is expected net present worth of the following project assuming a life of 10 years? The project has absolutely no salvage value at the end of the useful life. The company uses an interest rate of 12% to evaluate this project.
Select one:
a. $3,705
b. -$2,305
c. -$22,305
d. $4,506
4.) An investment of $18,000 is expected to generate annual revenue of $8.000 throughout the life of the investment. The risk is based on the life of the investment. The estimate of probabilites for the duration of the investment is given in the table below.
No matter what the life of the investment might be, there will be no salvage value. Using a value of 15% MARR, what is the risk (standard deviation) associated with this investment?
a. $3.598
b. $4,536
c. $2,528
5.) A city engineer has compiled the following data on a flood damage project. to control the flood, the construction of a small dam will cost $100,000. Based on the estimated damage data collected, what is expected damage?
Select one:
a. $225,550
b. $365,800
c. $215,005
d. $115,000
Explanation / Answer
Problem 1
The correct answer is C. $2700 and $2800
Problem 2
The answer is:
d. $122,570 and $48,901
To find this, first caculate the expected revenue for each year:
Then find the present value of:
PV(0.12,5,34000) = $122,570
Problem 3
First Find the Expected Cost:
Then find the Expected Revenue:
Using the Expected Revenue of $10,300, with n = 10 years and rate = 12%, we get a present value of: $57695
Expected Net Present Worth = $57,695 - $60,000 = -$2305
Problem 4
The answer will be:
b. $4,536
This is based on a standard deviation of 0.512 and the 15% MARR.
Problem 5
The answer is D, $115,000
EUAB Probability EUAB x Probability EUAB Probability EUAB x Probability $ 1,000.00 0.1 $ 100.00 $ 1,500.00 $ 0.20 $ 300.00 $ 2,000.00 0.3 $ 600.00 $ 2,500.00 $ 0.40 $ 1,000.00 $ 3,000.00 0.4 $ 1,200.00 $ 3,500.00 $ 0.30 $ 1,050.00 $ 4,000.00 0.2 $ 800.00 $ 4,500.00 $ 0.10 $ 450.00 Total $ 2,700.00 Total $ 2,800.00Related Questions
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