Jack and Jill's Place is a nonprofit nursery school run by the parents of the enrolled children. Since the school is out of town, it has a well rather than a city water supply. Lately, the well has become unreliable, and the school has had to bring in bottled drinking water. The school's governing board is considering drilling a new well (at the top of the hill, naturally). The board estimates that a new well would cost $7,374 and save the school $1,200 annually for 10 years. The school's hurdle rate is 8 percent. Use Appendix A for your reference. (Use appropriate factor(s) from the tables provided.) Required: Compute the internal rate of return on the new well. Should the governing board approve the new well? Internal rate of return Approve? Yes %

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
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Jack and Jill’s Place is a nonprofit nursery school run by the parents of the enrolled children. Since the school is out of town, it has a well rather than a city water supply. Lately, the well has become unreliable, and the school has had to bring in bottled drinking water. The school’s governing board is considering drilling a new well (at the top of the hill, naturally). The board estimates that a new well would cost $7,374 and save the school $1,200 annually for 10 years. The school’s hurdle rate is 8 percent.

Use Appendix A for your reference. (Use appropriate factor(s) from the tables provided.)

**Required:**
Compute the internal rate of return on the new well. Should the governing board approve the new well?

| **Internal rate of return** | **%**            |
|-----------------------------|------------------|
| **Approve?**                | **Yes**          |

*Note: Be sure to use the specified tables and factors as a reference to calculate the internal rate of return accurately.*
Transcribed Image Text:Jack and Jill’s Place is a nonprofit nursery school run by the parents of the enrolled children. Since the school is out of town, it has a well rather than a city water supply. Lately, the well has become unreliable, and the school has had to bring in bottled drinking water. The school’s governing board is considering drilling a new well (at the top of the hill, naturally). The board estimates that a new well would cost $7,374 and save the school $1,200 annually for 10 years. The school’s hurdle rate is 8 percent. Use Appendix A for your reference. (Use appropriate factor(s) from the tables provided.) **Required:** Compute the internal rate of return on the new well. Should the governing board approve the new well? | **Internal rate of return** | **%** | |-----------------------------|------------------| | **Approve?** | **Yes** | *Note: Be sure to use the specified tables and factors as a reference to calculate the internal rate of return accurately.*
**Future Value and Present Value Tables**

These tables provide essential financial calculations used in evaluating investments, annuities, and other financial products. They cover the future and present values of cash flows at various interest rates and periods.

**Table I: Future Value of $1.00 (1 + r)ⁿ**

This table shows the future value of $1.00 at different interest rates (4%, 6%, 8%, 10%, 12%, 14%, 20%) over varying periods (1 to 40). It illustrates how investments grow over time with compound interest. For example, at a 6% interest rate, $1.00 grows to $1.060 over 1 period and $3.207 over 20 periods.

**Table II: Future Value of a Series of $1.00 Cash Flows (Ordinary Annuity) [(1 + r)ⁿ - 1] / r**

This table provides the future value of a series of cash flows at specified interest rates (4% to 20%) and periods (1 to 40). It is useful for calculating the future value of regular investments. For instance, with an 8% interest rate and 10 periods, the future value is $14.487.

**Table III: Present Value of $1.00 [1 / (1 + r)ⁿ]**

This table indicates the present value of $1.00 to be received in the future, discounted at various rates (4% to 32%). It shows the current worth of future cash, illustrating how money's value decreases over time. At 10 periods and 10%, $1.00 is worth $0.386 today.

**Table IV: Present Value of Series of $1.00 Cash Flows [1/r * (1 - 1/(1 + r)ⁿ)]**

The table calculates the present value of a series of cash flows, also known as an annuity, across multiple interest rates (4% to 30%) and durations. This is beneficial for determining how much a series of future payments is worth today. At a 16% interest rate over 10 periods, the series is valued at $4.464.

These tables help in planning investments, evaluating financing options, and understanding the time value of money principles.
Transcribed Image Text:**Future Value and Present Value Tables** These tables provide essential financial calculations used in evaluating investments, annuities, and other financial products. They cover the future and present values of cash flows at various interest rates and periods. **Table I: Future Value of $1.00 (1 + r)ⁿ** This table shows the future value of $1.00 at different interest rates (4%, 6%, 8%, 10%, 12%, 14%, 20%) over varying periods (1 to 40). It illustrates how investments grow over time with compound interest. For example, at a 6% interest rate, $1.00 grows to $1.060 over 1 period and $3.207 over 20 periods. **Table II: Future Value of a Series of $1.00 Cash Flows (Ordinary Annuity) [(1 + r)ⁿ - 1] / r** This table provides the future value of a series of cash flows at specified interest rates (4% to 20%) and periods (1 to 40). It is useful for calculating the future value of regular investments. For instance, with an 8% interest rate and 10 periods, the future value is $14.487. **Table III: Present Value of $1.00 [1 / (1 + r)ⁿ]** This table indicates the present value of $1.00 to be received in the future, discounted at various rates (4% to 32%). It shows the current worth of future cash, illustrating how money's value decreases over time. At 10 periods and 10%, $1.00 is worth $0.386 today. **Table IV: Present Value of Series of $1.00 Cash Flows [1/r * (1 - 1/(1 + r)ⁿ)]** The table calculates the present value of a series of cash flows, also known as an annuity, across multiple interest rates (4% to 30%) and durations. This is beneficial for determining how much a series of future payments is worth today. At a 16% interest rate over 10 periods, the series is valued at $4.464. These tables help in planning investments, evaluating financing options, and understanding the time value of money principles.
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