Determine the present equivalent value of the cash-flow diagram shown below when the annual interest rate, i varies as indicated. P=? ܕܦܢ ܦܐ ܚܤܐܤܦ 0 $1,000 i₁ = 8% 2 = 15% I3 = 12% 1 $2,000 The present equivalent value is $ 2 $1,000 14 = 8% 3 Years (Round to the nearest cent.) $2,000 15 = 8% 16 = 12% 5 Click the icon to view the interest and annuity table for discrete compounding when i = 8% per year. Click the icon to view the interest and annuity table for discrete compounding when ;= 12% per year. 6 ܘ

ENGR.ECONOMIC ANALYSIS
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**Present Equivalent Value Calculation for Varying Interest Rates**

This educational page explains how to determine the present equivalent value of a cash-flow diagram when the annual interest rate varies as indicated. 

### Cash-Flow Diagram Overview

The diagram displays cash flows over a period of six years. It includes specific cash amounts and their associated interest rates:

- Year 1: $1,000 with an interest rate of \( i_1 = 8\% \)
- Year 2: $1,000 with an interest rate of \( i_2 = 15\% \)
- Year 3: $2,000 with an interest rate of \( i_3 = 12\% \)
- Year 4: No cash flow with an interest rate of \( i_4 = 8\% \)
- Year 5: $1,000 with an interest rate of \( i_5 = 8\% \)
- Year 6: $2,000 with an interest rate of \( i_6 = 12\% \)

### Instructions

- Click the icon to view the interest and annuity table for discrete compounding for an interest rate of \( i = 8\% \) per year.
- Click the icon to view the interest and annuity table for discrete compounding for an interest rate of \( i = 12\% \) per year.

### Goal

The goal is to determine the present equivalent value, denoted as P, of this cash-flow diagram by using the interest and annuity tables for the specified interest rates. Be sure to round the result to the nearest cent.

**The present equivalent value is \$[ ]**. (Round to the nearest cent.)
Transcribed Image Text:**Present Equivalent Value Calculation for Varying Interest Rates** This educational page explains how to determine the present equivalent value of a cash-flow diagram when the annual interest rate varies as indicated. ### Cash-Flow Diagram Overview The diagram displays cash flows over a period of six years. It includes specific cash amounts and their associated interest rates: - Year 1: $1,000 with an interest rate of \( i_1 = 8\% \) - Year 2: $1,000 with an interest rate of \( i_2 = 15\% \) - Year 3: $2,000 with an interest rate of \( i_3 = 12\% \) - Year 4: No cash flow with an interest rate of \( i_4 = 8\% \) - Year 5: $1,000 with an interest rate of \( i_5 = 8\% \) - Year 6: $2,000 with an interest rate of \( i_6 = 12\% \) ### Instructions - Click the icon to view the interest and annuity table for discrete compounding for an interest rate of \( i = 8\% \) per year. - Click the icon to view the interest and annuity table for discrete compounding for an interest rate of \( i = 12\% \) per year. ### Goal The goal is to determine the present equivalent value, denoted as P, of this cash-flow diagram by using the interest and annuity tables for the specified interest rates. Be sure to round the result to the nearest cent. **The present equivalent value is \$[ ]**. (Round to the nearest cent.)
Expert Solution
Step 1: Define Present equivalent:-

The term "present equivalent" refers to the present value of anticipated future cashflows, discounted at the necessary rate. Present value gives us the investment's current value, which we may use to buy it. 

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