You are the finance manager for a particular company. The company plans to purchase $2,000,000 in new assembly line machinery in 5 years. (Use Table 11-1 and Table 11-2. Round your answers to the nearest cent.) (a) How much (in $) must be set aside now at 6% interest compounded semiannually to accumulate the $2,000,000 in 5 years? $   (b) If the inflation rate on this type of equipment is 7% per year, what will be the cost (in $) of the equipment in 5 years, adjusted for inflation? $

College Accounting, Chapters 1-27
23rd Edition
ISBN:9781337794756
Author:HEINTZ, James A.
Publisher:HEINTZ, James A.
Chapter17: Accounting For Notes And Interest
Section: Chapter Questions
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You are the finance manager for a particular company. The company plans to purchase $2,000,000 in new assembly line machinery in 5 years. (Use Table 11-1 and Table 11-2. Round your answers to the nearest cent.)
(a)
How much (in $) must be set aside now at 6% interest compounded semiannually to accumulate the $2,000,000 in 5 years?
$  
(b)
If the inflation rate on this type of equipment is 7% per year, what will be the cost (in $) of the equipment in 5 years, adjusted for inflation?
(c)
Use the inflation-adjusted cost of the equipment to calculate how much (in $) must be set aside now.
(d)
Use the present value formula to calculate how much (in $) would be required now if you found a bank that offered 6% interest compounded daily to obtain the value found in part b. (Ignore leap years in calculation.)
The image presents a comprehensive financial table focused on present value factors for various interest rates and time periods. This table aids in calculating present value given different interest rates (ranging from 1% to 18%) and periods (ranging from 1 to 24 years). 

### Explanation

Each section of the table corresponds to a specific interest rate. The table contains the following components:

1. **Interest Rates Columns**: 
    - Each column lists the present value factors for an interest rate, specified at the top of the column (% symbol is assumed).
    - The rates range incrementally from 1% to 18%.

2. **Periods Rows**:
    - Each row corresponds to a specific time period (1 to 24).
    - Each cell intercept between the period row and interest rate column indicates the present value factor for that particular rate and period.

3. **Structure**:
    - The table is essentially broken down into blocks that group certain consecutive interest rates at a time—likely for ease of reference.
    - These segments can be viewed side by side for comparative analysis, offering insights into how varying interest rates impact present value calculations over different periods.

This table is an invaluable tool in financial, accounting, and business sectors where assessing the time value of money is crucial for investment decisions, comparing loan options, or understanding savings over time.
Transcribed Image Text:The image presents a comprehensive financial table focused on present value factors for various interest rates and time periods. This table aids in calculating present value given different interest rates (ranging from 1% to 18%) and periods (ranging from 1 to 24 years). ### Explanation Each section of the table corresponds to a specific interest rate. The table contains the following components: 1. **Interest Rates Columns**: - Each column lists the present value factors for an interest rate, specified at the top of the column (% symbol is assumed). - The rates range incrementally from 1% to 18%. 2. **Periods Rows**: - Each row corresponds to a specific time period (1 to 24). - Each cell intercept between the period row and interest rate column indicates the present value factor for that particular rate and period. 3. **Structure**: - The table is essentially broken down into blocks that group certain consecutive interest rates at a time—likely for ease of reference. - These segments can be viewed side by side for comparative analysis, offering insights into how varying interest rates impact present value calculations over different periods. This table is an invaluable tool in financial, accounting, and business sectors where assessing the time value of money is crucial for investment decisions, comparing loan options, or understanding savings over time.
The image contains two tables displaying compound interest values for different periods and interest rates. Here's a detailed transcription and explanation of each table:

---

### Table 1: Compound Interest Values for 0.5% to 8% Rates

#### Columns:
- **Periods**: Represents the number of compounding periods (from 1 to 25).
- **Rates**: Displays compound interest multipliers for rates ranging from 0.5% to 8%.

#### Example Rows:
- **Period 1:**
  - 0.5%: 1.00500
  - 1%: 1.01000
  - 2%: 1.02000
  - 3%: 1.03000
  - Up to 8%: 1.08000

- **Period 5:**
  - 0.5%: 1.02525
  - 1%: 1.05101
  - 2%: 1.10408
  - 3%: 1.15927
  - Up to 8%: 1.46933

---

### Table 2: Compound Interest Values for 9% to 18% Rates

#### Columns:
- **Periods**: Represents the number of compounding periods (from 1 to 25).

- **Rates**: Displays compound interest multipliers for rates ranging from 9% to 18%.

#### Example Rows:
- **Period 1:**
  - 9%: 1.09000
  - 10%: 1.10000
  - 11%: 1.11000
  - 12%: 1.12000
  - Up to 18%: 1.18000

- **Period 5:**
  - 9%: 1.53862
  - 10%: 1.61051
  - 11%: 1.68506
  - 12%: 1.76234
  - Up to 18%: 2.18866

---

### Explanation:
The tables are used to determine the future value of an investment or loan based on a fixed interest rate over a set number of periods. Each cell within a table represents the compound factor that would be used to multiply the principal amount, providing a quick reference for financial
Transcribed Image Text:The image contains two tables displaying compound interest values for different periods and interest rates. Here's a detailed transcription and explanation of each table: --- ### Table 1: Compound Interest Values for 0.5% to 8% Rates #### Columns: - **Periods**: Represents the number of compounding periods (from 1 to 25). - **Rates**: Displays compound interest multipliers for rates ranging from 0.5% to 8%. #### Example Rows: - **Period 1:** - 0.5%: 1.00500 - 1%: 1.01000 - 2%: 1.02000 - 3%: 1.03000 - Up to 8%: 1.08000 - **Period 5:** - 0.5%: 1.02525 - 1%: 1.05101 - 2%: 1.10408 - 3%: 1.15927 - Up to 8%: 1.46933 --- ### Table 2: Compound Interest Values for 9% to 18% Rates #### Columns: - **Periods**: Represents the number of compounding periods (from 1 to 25). - **Rates**: Displays compound interest multipliers for rates ranging from 9% to 18%. #### Example Rows: - **Period 1:** - 9%: 1.09000 - 10%: 1.10000 - 11%: 1.11000 - 12%: 1.12000 - Up to 18%: 1.18000 - **Period 5:** - 9%: 1.53862 - 10%: 1.61051 - 11%: 1.68506 - 12%: 1.76234 - Up to 18%: 2.18866 --- ### Explanation: The tables are used to determine the future value of an investment or loan based on a fixed interest rate over a set number of periods. Each cell within a table represents the compound factor that would be used to multiply the principal amount, providing a quick reference for financial
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