Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The Bartram-Pulley Company (BPC) must decide between two mutually exclusive inve

ID: 2648119 • Letter: T

Question

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:

BPC has decided to evaluate the riskier project at a 12% rate and the less risky project at a 8% rate.

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 _________________ Project B.

If Project B's cash flows were negatively correlated with gross domestic product (GDP), would that influence your assessment of its risk?
_________________

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
Flow
Probability Net Cash
Flow
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? Round your answers to nearest dollar. Project A Project B Net cash flow $   ________ $   ________
What is the coefficient of variation (CV)? ? (to the nearest whole number) CV (to 2 decimal places) Project A $   ________ ________ Project B $   ________ ________
What is the risk-adjusted NPV of each project? 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 _________________ Project B.

If Project B's cash flows were negatively correlated with gross domestic product (GDP), would that influence your assessment of its risk?
_________________

Explanation / Answer

Part A

Project A

Project B

Part B

Project A

Standard deviation = ?variance

                           = ?235,000

       = 484.77

Coefficient of variance = standard deviation /Expected cash flow

= 484.77 / 7050

=0.07

Project B

Standard Deviation = ?variance

?25,975,000

= 5096.57

Coefficient of Variance = standard deviation /Expected cash flow

= 5096.57/7250

= 0.70

Part C

Part D

The portfolio effects from Project B would tend to make it less risky than otherwise. This would tend to reinforce the decision to accept Project B.

Part E

If Project B were negatively correlated with the GDP (Project B is profitable when the economy is down), then it is less risky and Project B's acceptance is reinforced.

Probability Net Cash Inflow Probability * Net Cash inflow Variance = Probability*((CF-Expected cash flow)^2) 0.2 $            7,000 $        1,400 $                  500 0.6 $            6,750 $        4,050 $              54,000 0.2 $            8,000 $        1,600 $            180,500 Expected net cash flow $        7,050 $            235,000