Answer To: Chapter 12 Problems Problem #1The Glendale Corp. is considering a real estate development project...
Sumit answered on Oct 10 2021
Chapter 12
Problems
Problem #1 The Glendale Corp. is considering a real estate development project that will cost $5 million to undertake and is expected to produce annual inflows between $1 million and $4 million for two years. Management feels that if the project turns out really well the inflows between $3 million in the first year and $4 million in the second. If things go very poorly, on the other hand, inflows of $1 million followed by $2.5 million are more likely. Develop a range of NPVs for the project if Glendale's cost of capital is 12%.
Problem #2 If Glendale's management in the previous problem attaches a probability of .7 to the better outcome, what is the project's most likely (expected) NPV? Comment on the result of your calculations.
Problem #5 The Blazingame Corporation is considering a three-year project that has an initial cash outlay (C) of $175,000 and three cash inflows that are defined by the following independent probability distributions. All dollar figures are in thousands. Blazingame's cost of capital is 10%
C1 C2
$50 $40 $75 0.25
60 80 80 0.50
70 120 85 0.25
a. Estimate the project's most likely NPV using a point estimate of each cash flow. What is its probability?
b. What are the best and worst possible NPV's? What are their probabilities?
c. Choose a few outcomes at random, calculate their NPVs and the associated probabilities, and sketch the probability distribution of the project's NPV.
Chapter 12 Solution
Problem 1:
Cost of Project $ 5.00 Million
Required Rate of Return 12%
Cash Inflow Year 1 Year 2 NPV
Project Turns Well $ 3.00 $ 4.00 Million $ 0.87
Project go Poor $ 1.00 $ 2.50 Million $ -2.11
Hence the range of NPV is $-2.11 to $0.87.
Problem 2:
Probablity of better Outcome 0.7
Probablity of Poor Outcome 0.3
NPV of Better $ 0.87
NPV of Poor $ -2.11
Expected NPV $ -0.03
Problem 5:
(a).
Cost of Project $ 175,000
Required Rate of Return 10%
Cash Inflow Year 1 Year 2 Year 3 NPV Expected NPV
Probability 0.25 $ 50,000.00 $ 40,000.00 $ 75,000.00 $ -40,138.99 $ -10,034.75
Probability 0.50 $ 60,000.00 $ 80,000.00 $ 80,000.00 $ 5,766.34 $ 2,883.17
Probability 0.25 $ 70,000.00 $ 120,000.00 $ 85,000.00 $ 51,671.68 $ 12,917.92
Total Expected Project NPV $ 5,766.34
(b). Amount Probability
Worst Possible NPV $ -40,138.99 Probability 0.25
Best Possible NPV $ 51,671.68 Probability 0.25
(c).
Cash Inflow Expected NPV Year 1 Year 2 Year 3 NPV
Probability 0.10 $ -6,797.52 $ 45,000.00 $ 30,000.00 $ 55,000.00 $ -67,975.21
Probability 0.65 $ 6,458.49 $ 65,000.00 $ 75,000.00 $ 85,000.00 $ 9,936.14
Probability 0.25 $ 15,463.00 $ 75,000.00 $ 95,000.00 $ 120,000.00 $ ...