Boston Cola is considering the purchase of a​ special-purpose bottling machine for $35,000. It is expected to have a useful life of 4 years with no terminal disposal value. The plant manager estimates the following savings in cash operating​ costs: Boston Cola uses a required rate of return of 14​% in its capital budgeting decisions. Ignore income taxes in your analysis. Assume all cash flows occur at​ year-end except for initial investment amounts. Data Table Year Amount Year 1 $15,000 Year 2 11,000 Year 3 10,000 Year 4 8,000 Total $44,000  ​(Use factor amounts rounded to three decimal places. Round your answers to the nearest whole dollar. Use a minus sign or parentheses for a negative net present​ value.) Calculate the following for the special purpose bottling​ machine: 1. Net present value 2. Payback period 3. Discounted payback period

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Boston Cola is considering the purchase of a​ special-purpose bottling machine for $35,000.

It is expected to have a useful life of 4 years with no terminal disposal value. The plant manager estimates the following savings in cash operating​ costs:

Boston Cola uses a required rate of return of 14​% in its capital budgeting decisions. Ignore income taxes in your analysis. Assume all cash flows occur at​ year-end except for initial investment amounts.

Data Table

Year

Amount

Year 1

$15,000

Year 2

11,000

Year 3

10,000

Year 4

8,000

Total

$44,000

 ​(Use factor amounts rounded to three decimal places. Round your answers to the nearest whole dollar. Use a minus sign or parentheses for a negative net present​ value.)

Calculate the following for the special purpose bottling​ machine:

1.

Net present value

2.

Payback period

3.

Discounted payback period

4.

Internal rate of return​ (using the interpolation​ method)

5.

Accrual accounting rate of return based on net initial investment​ (Assume straight-line depreciation. Use the average annual savings in cash operating costs when computing the numerator of the accrual accounting rate of​ return.)

 

.

### Present Value of $1 Table

This table provides the present value of $1 for different interest rates and periods. It can be used to determine the current worth of a future sum of money.

#### Columns

- **Interest Rates (2% to 40%)**: The table shows various interest rates in increments, specifically 2%, 4%, 6%, 8%, 10%, 12%, 14%, 16%, 18%, 20%, 22%, 24%, 26%, 28%, 30%, 32%, and 40%.

#### Rows

- **Periods (1 to 40)**: The table lists periods from 1 to 40, correlating to the number of compounding periods or years for the calculation.

### Example Data Interpretation

- **Period 1 at 2%**: The present value of $1 is 0.980.
- **Period 10 at 10%**: The present value of $1 is 0.386.
- **Period 40 at 40%**: The present value of $1 is 0.000.

### Usage

To calculate the present value of a future cash flow, multiply the cash flow by the appropriate table value, based on the expected interest rate and period.

This table is a critical tool in financial calculations, enabling users to make informed decisions about investments, savings, and loans.
Transcribed Image Text:### Present Value of $1 Table This table provides the present value of $1 for different interest rates and periods. It can be used to determine the current worth of a future sum of money. #### Columns - **Interest Rates (2% to 40%)**: The table shows various interest rates in increments, specifically 2%, 4%, 6%, 8%, 10%, 12%, 14%, 16%, 18%, 20%, 22%, 24%, 26%, 28%, 30%, 32%, and 40%. #### Rows - **Periods (1 to 40)**: The table lists periods from 1 to 40, correlating to the number of compounding periods or years for the calculation. ### Example Data Interpretation - **Period 1 at 2%**: The present value of $1 is 0.980. - **Period 10 at 10%**: The present value of $1 is 0.386. - **Period 40 at 40%**: The present value of $1 is 0.000. ### Usage To calculate the present value of a future cash flow, multiply the cash flow by the appropriate table value, based on the expected interest rate and period. This table is a critical tool in financial calculations, enabling users to make informed decisions about investments, savings, and loans.
### Present Value of Annuity of $1.00 in Arrears

This table shows the present value of an annuity of $1.00 in arrears, listed over various periods (1 to 40), and at different interest rates (ranging from 2% to 40%). The values represent how much $1 received at the end of each period is worth today, discounted back at these specified rates.

**Columns and Descriptions:**

- **Periods**: Number of payment periods from 1 to 40.
- **Interest Rates (Columns)**: The table includes interest rates of 2%, 4%, 6%, 8%, 10%, 12%, 14%, 16%, 18%, 20%, 22%, 24%, 26%, 28%, 30%, 32%, and 40%.
- **Values**: Each cell shows the present value of an annuity for $1 received at the end of each period, discounted at the column's specified interest rate.

**Usage:**
- This table is valuable in finance for computing the present value of annuity payments, which is essential for investment analysis, retirement planning, and loan amortization.

*Note: “Payments (or receipts) at the end of each period” signifies that the annuity payments are made at the end of each period, a standard practice in financial calculations.*
Transcribed Image Text:### Present Value of Annuity of $1.00 in Arrears This table shows the present value of an annuity of $1.00 in arrears, listed over various periods (1 to 40), and at different interest rates (ranging from 2% to 40%). The values represent how much $1 received at the end of each period is worth today, discounted back at these specified rates. **Columns and Descriptions:** - **Periods**: Number of payment periods from 1 to 40. - **Interest Rates (Columns)**: The table includes interest rates of 2%, 4%, 6%, 8%, 10%, 12%, 14%, 16%, 18%, 20%, 22%, 24%, 26%, 28%, 30%, 32%, and 40%. - **Values**: Each cell shows the present value of an annuity for $1 received at the end of each period, discounted at the column's specified interest rate. **Usage:** - This table is valuable in finance for computing the present value of annuity payments, which is essential for investment analysis, retirement planning, and loan amortization. *Note: “Payments (or receipts) at the end of each period” signifies that the annuity payments are made at the end of each period, a standard practice in financial calculations.*
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