Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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![**Investment Valuation Problem**
An investment offers $3,850 per year for 15 years, with the first payment occurring one year from now.
### Questions and Calculations:
**a.** If the required return is 6 percent, what is the value of the investment? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
**b.** What would the value be if the payments occurred for 40 years? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
**c.** What would the value be if the payments occurred for 75 years? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
**d.** What would the value be if the payments occurred forever? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
### Summary of Present Values
| **a.** Present value of 15 annual payments | |
|--------------------------------------------|---------------------------|
| **b.** Present value of 40 annual payments | |
| **c.** Present value of 75 annual payments | |
| **d.** Present value of annual payments forever | |
**Explanatory Note on Present Values**
The present value (PV) calculations are essential to determine what a series of future payments is worth in today's terms, considering a specific rate of return (interest rate). In this particular problem, the cash flows ($3,850 per year) and the number of payments (15 years, 40 years, 75 years, and perpetuity) are given, making it a practical exercise for understanding financial valuation. The discount rate (6%) is used to compute these present values.
Note: When solving present value problems, accuracy is crucial; hence, intermediate calculations should not be rounded until the final step to ensure precision.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0505985e-243e-4b9e-b7a6-bbe3450b2962%2Fed15de0c-9d6f-4f79-8f73-16acad83e4a1%2Ftj0tluu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Investment Valuation Problem**
An investment offers $3,850 per year for 15 years, with the first payment occurring one year from now.
### Questions and Calculations:
**a.** If the required return is 6 percent, what is the value of the investment? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
**b.** What would the value be if the payments occurred for 40 years? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
**c.** What would the value be if the payments occurred for 75 years? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
**d.** What would the value be if the payments occurred forever? *(Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)*
### Summary of Present Values
| **a.** Present value of 15 annual payments | |
|--------------------------------------------|---------------------------|
| **b.** Present value of 40 annual payments | |
| **c.** Present value of 75 annual payments | |
| **d.** Present value of annual payments forever | |
**Explanatory Note on Present Values**
The present value (PV) calculations are essential to determine what a series of future payments is worth in today's terms, considering a specific rate of return (interest rate). In this particular problem, the cash flows ($3,850 per year) and the number of payments (15 years, 40 years, 75 years, and perpetuity) are given, making it a practical exercise for understanding financial valuation. The discount rate (6%) is used to compute these present values.
Note: When solving present value problems, accuracy is crucial; hence, intermediate calculations should not be rounded until the final step to ensure precision.
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