Determine the present equivalent value of the cash-flow diagram shown below when the annual interest rate, i, varies as indicated. Q P=? 0 $4,000 $2,000 in 1₁ =15%2=12% 13 = 15% 1 2 $2,000 i4 = 6% 3 Years i5 = 6% 5 $4,000 16 = 6% 6 Click the icon to view the interest and annuity table for discrete compounding when i = 6% per year.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**Transcription and Diagram Explanation for Educational Website:**

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**Objective:**
Determine the present equivalent value of the cash-flow diagram provided below, given the variable annual interest rates (\(i_k\)).

**Cash-Flow Diagram:**

- **Years and Cash Flows:**
  - **Year 0:** Present value \(P = ?\)
  - **Year 1:** $2,000
  - **Year 2:** No cash flow
  - **Year 3:** $4,000
  - **Year 4:** No cash flow
  - **Year 5:** $2,000
  - **Year 6:** $4,000

- **Interest Rates:**
  - **\(i_1 = 15\%\) for Year 1**
  - **\(i_2 = 12\%\) for Year 2**
  - **\(i_3 = 15\%\) for Year 3**
  - **\(i_4 = 6\%\) for Year 4**
  - **\(i_5 = 6\%\) for Year 5**
  - **\(i_6 = 6\%\) for Year 6**

**Interactive Elements:**

- **Interest and Annuity Tables:**
  1. *Access the table for discrete compounding when the interest rate (\(i\)) is 6% per year.*
  2. *Access the table for discrete compounding when the interest rate (\(i\)) is 12% per year.*

**Calculation:**
To find the present equivalent value, click the respective icons for interest and annuity tables depending on the interest rates provided above.

**Result:**
The present equivalent value is $[ \_\_ ]. (Round to the nearest cent.)**

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*Note: Ensure to round your final result to the nearest cent as instructed.*
Transcribed Image Text:**Transcription and Diagram Explanation for Educational Website:** --- **Objective:** Determine the present equivalent value of the cash-flow diagram provided below, given the variable annual interest rates (\(i_k\)). **Cash-Flow Diagram:** - **Years and Cash Flows:** - **Year 0:** Present value \(P = ?\) - **Year 1:** $2,000 - **Year 2:** No cash flow - **Year 3:** $4,000 - **Year 4:** No cash flow - **Year 5:** $2,000 - **Year 6:** $4,000 - **Interest Rates:** - **\(i_1 = 15\%\) for Year 1** - **\(i_2 = 12\%\) for Year 2** - **\(i_3 = 15\%\) for Year 3** - **\(i_4 = 6\%\) for Year 4** - **\(i_5 = 6\%\) for Year 5** - **\(i_6 = 6\%\) for Year 6** **Interactive Elements:** - **Interest and Annuity Tables:** 1. *Access the table for discrete compounding when the interest rate (\(i\)) is 6% per year.* 2. *Access the table for discrete compounding when the interest rate (\(i\)) is 12% per year.* **Calculation:** To find the present equivalent value, click the respective icons for interest and annuity tables depending on the interest rates provided above. **Result:** The present equivalent value is $[ \_\_ ]. (Round to the nearest cent.)** --- *Note: Ensure to round your final result to the nearest cent as instructed.*
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