Concept explainers
a.
To calculate: The standard deviations of Year 1, Year 5, and Year 10.
Introduction:
Standard deviation (SD):
A statistical tool that helps measure the deviation or volatility of an investment is termed as the standard deviation. It is the square root of variance.
b.
To draw: The diagram of the mean (expected value) and SD for three years.
Introduction:
Expected value:
It is also known as mean. It is the value that is estimated or anticipated to earn in the future from an investment. It is computed by adding up the values that occur by multiplying each of the outcomes with their probabilities.
Standard deviation (SD):
A statistical tool that helps measure the deviation or volatility of an investment is termed as the standard deviation. It is the square root of variance.
c.
To calculate: The values and differences in the values of discount rates of 6% and 12% at Year 1, Year 5, and Year 10.
Introduction:
Discount Rate:
A rate that is used for the calculation of the
d.
To explain: The relation between the increase in risk overtime shown in the diagram in part (c) and the large differences in PVIFS computed in the part (b).
Introduction:
Risk:
The future uncertainty of the deviation between actual and expected outcome is termed as risk. Risk is the quantified representation of uncertainty that an investor is willing to take on the investments.
e.
To calculate: The investment is accepted on the basis of the NPV or not.
Introduction:
It is the difference between the PV (present value) of
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Foundations of Financial Management
- Perform a financial analysis for a project using the format provided in Figure 4-5. Assume that the projected costs and benefits for this project are spread over four years as follows: Estimated costs are $300,000 in Year 1 and $40,000 each year in Years 2, 3, and 4. Estimated benefits are $0 in Year 1 and $120,000 each year in Years 2, 3, and 4. Use a 7 percent discount rate, and round the discount factors to two decimal places. Create a spreadsheet or use the business case financials template on the Companion website to calculate and clearly display the NPV, ROI, and year in which payback occurs. In addition, write a paragraph explaining whether you would recommend investing in this project, based on your financial analysis.arrow_forwardPerform a financial analysis of a project assuming that the projected costs and benefits for this project are spread over four years as follows: Estimated costs are $200,000 in Year 1 and $30,000 each year in Years 2,3 and 4. Estimated benefits are $0 in year 1 and $100,000 each year in Years 2,3 and 4. Use a 9 percentage, discount rate, round the discount factors to two decimal places. Create a table of financial template on the paper to calculate and clearly display the NPV, ROI and year in which payback occurs with the help of a graph. In addition, write a paragraph explaining whether you would recommend investing in this project, based on your financial analysis.arrow_forwardPerform a financial analysis for a project using the format provided in Figure 4-5. Assume that the projected costs and benefits for this project are spread over four years as follows: Estimated costs are $200,000 in Year 1 and $30,000 each year in Years 2, 3, and 4. Estimated benefits are $0 in Year 1 and $100,000 each year in Years 2, 3, and 4. Use a 9 percent discount rate, and round the discount factors to two decimal places. Create a spreadsheet or use the business case financials template on the companion website to calculate and clearly display the NPV, ROI, and year in which payback occurs. In addition, write a paragraph explaining whether you would recommend investing in this project, based onyour financial analysis.arrow_forward
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