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
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
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
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.)
.
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.
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.*
Definition Definition Calculation used to evaluate the investment and financing decisions that involve cash flows occurring over multiple periods. NPV is calculated as the difference between the present value of cash inflow and cash outflow. NPV is used for capital budgeting and investment planning as well as to compare similar investment alternatives.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.