In: Finance
Problem 11-15
Risky Cash Flows
The Bartram-Pulley Company (BPC) must decide between two mutually exclusive investment projects. Each project costs $6,750 and has an expected life of 3 years. Annual net cash flows from each project begin 1 year after the initial investment is made and have the following probability distributions:
PROJECT A | PROJECT B | ||
Probability | Net Cash Flows |
Probability | Net Cash Flows |
0.2 | $7,000 | 0.2 | $ 0 |
0.6 | 6,750 | 0.6 | 6,750 |
0.2 | 8,000 | 0.2 | 16,000 |
BPC has decided to evaluate the riskier project at a 12% rate and the less risky project at a 8% rate.
What is the expected value of the annual net cash flows from each project? Do not round intermediate calculations. Round your answers to nearest dollar.
Project A | Project B | |
Net cash flow | $ | $ |
What is the coefficient of variation (CV)? Do not round
intermediate calculations. (Hint: ?B=$5,097 and
CVB=$0.70.)
? (to the nearest whole number) | CV (to 2 decimal places) | |
Project A | $ | |
Project B | $ |
What is the risk-adjusted NPV of each project? Do not round
intermediate calculations. Round your answer to the nearest
dollar.
Project A | $ | |
Project B | $ |
If it were known that Project B is negatively correlated with
other cash flows of the firm whereas Project A is positively
correlated, how would this affect the decision?
This would tend to reinforce the decision to
-Select-acceptrejectItem 9 Project B.
If Project B's cash flows were negatively correlated with gross
domestic product (GDP), would that influence your assessment of its
risk?
-Select-YesNoItem 10
PROJECT A | PROJECT B | |||
Probability | Net Cash | Probability | Net Cash | |
Flows | Flows | |||
0.20 | 7,000.00 | 0.20 | 0.00 | |
0.60 | 6,750.00 | 0.60 | 6,750.00 | |
0.20 | 8,000.00 | 0.20 | 16,000.00 | |
Expected value of annual cash flows | ||||
Project A | 7050 | Using the sumproduct if probablity and Net cash flows | ||
Project B | 7250 | Using the sumproduct if probablity and Net cash flows | ||
Discount rate | 12% | |||
Coefficient of variation | ||||
Std deviation | Coefficient of variation | |||
Project A | 485 | 0.07 | Using the formula std deviation/Mean | |
Project B | 5,097 | 0.70 | ||
Risk adjusted NPV | ||||
Initial cost | 6750 | |||
Project A | 10,183 | Using PV formula with rate as 12% and 3 years | ||
Initial cost | 6750 | |||
Project A | 10,663 | Using PV formula with rate as 12% and 3 years | ||
If Project A cash flows is positively correlated with firms cash flows and Project B is negetively | ||||
Then we should go eith project A as there is not much difference in NPV | ||||
If project B cash flows are negetively correlated with GDP the risk will increase and hence should not be chosen |