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Economics of Risk and Uncertainty Applied Problems Please complete the followingtwo applied problems. Show all your calculations and explain your results. Problem 1: A generous university benefactor...

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Economics of Risk and Uncertainty Applied Problems

Please complete the followingtwo applied problems. Show all your calculations and explain your results.
Problem 1:

A generous university benefactor has agreed to donate a large amount of money for student scholarships. The money can be provided in one lump sum of $12 million in Year 0 (the current year), or in parts, in which $7 million can be provided at the end of Year 1, and another $7 million can be provided at the end of Year 2.

Describe your answer for each item below in complete sentences, whenever it is necessary. Show all of your calculations and processes for the following points:

  1. Assuming the opportunity interest rate is 8%, what is the present value of the second alternative mentioned above? Which of the two alternatives should be chosen and why?
  2. How would your decision change if the opportunity interest rate is 12%?
  3. Provide a description of a scenario where this kind of decision between two types of payment streams applies in the “real-world” business setting.

Problem 2:

The San Diego LLC is considering a three-year project, Project A, involving an initial investment of $80 million and the following cash inflows and probabilities:

Year 0

Year 1

Year 2

Year 3


Probability

Cash Flow
($ mil.)

Probability

Cash Flow
($mil.)

Probability

Cash Flow
($ mil.)


0.2

50

0.1

60

0.3

70


0.3

40

0.2

50

0.4

60


0.4

30

0.3

40

0.1

50


0.1

20

0.4

30

0.2

40

Initial Investment
$80 mil.

Discount Rate
8%

Describe your answer for each question in complete sentences, whenever it is necessary. Show all of your calculations and processes for the following points:

  1. Describe and calculate Project A’s expected net present value (ENPV) and standard deviation (SD), assuming the discount rate (or risk-free interest rate) to be 8%. What is the decision rule in terms of ENPV? What will be San Diego LLC’s decision regarding this project? Describe your answer.
  2. The company is also considering another three-year project, Project B, which has an ENPV of $32 million and standard deviation of $10.5 million. Project A and B are mutually exclusive. Which of the two projects would you prefer if you do not consider the risk factor? Explain.
  3. Describe the coefficient of variation (CV) and the standard deviation (SD) in connection with risk attitudes and decision making. If you now also consider your risk-aversion attitude, as the CEO of the San Diego LLC will you make a different decision between Project A and Project B? Why or why not?
Answered Same Day May 07, 2021

Solution

Ashish answered on May 09 2021
150 Votes
Running Head: Economics of Risk and Uncertainty Applied Problems
Economics of Risk and Uncertainty Applied Problems
Student Name:
Student ID:
9th May 2019
Problem-1
Solution-a
Present Value (PV) = Future Value / (1+r) n
Therefore, the PV of the second alternative are determine as follows:
Present Value (PV) (Year-1) = $7,000,000 / (1+0.08)1
Present Value (PV) (Year-1) = $6,481,481.48
Present Value (PV) (Year-2) = $7,000,000 / (1+0.08)2
Present Value (PV) (Year-2) = $6,001,371.74
Total Present Value (PV) = Present Value (PV) (Year-1) + Present Value (PV) (Year-2)
Total Present Value (PV) = $6,481,481.48 +$6,001,371.74
Total Present Value (PV) = $12,482,853.22
Explanation:
According to above analysis second alternative is best because the second alternative provides $482,853.22 ($12,482,853.22 - $12,000,000.00) more than the first scholarship.
Solution-
If the opportunity rate of interest is 12%, the PV of the...
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