A broker wants to sell a customer an investment costing $100 with an expected payoff in one year of $108.6. The customer indicates that a 8.6 percent return is not very attractive. The broker responds by suggesting the customer borrow $80 for one year at 6.6 percent interest to help pay for the investment. a. What is the customer's expected return if she borrows the money? (Round your answer to 1 decimal place.) Customer's expected return %

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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### Investment Return Calculation

A broker wants to sell a customer an investment costing $100 with an expected payoff in one year of $108.6. The customer indicates that an 8.6 percent return is not very attractive. The broker responds by suggesting the customer borrow $80 for one year at 6.6 percent interest to help pay for the investment.

**Problem Statement:**
- **Question:** What is the customer's expected return if she borrows the money? (Round your answer to 1 decimal place.)

**Calculation:**

- **Cost of Investment:** $100
- **Expected Payoff (in one year):** $108.6
- **Amount Borrowed:** $80
- **Interest Rate on Borrowed Amount:** 6.6%

**Steps:**

1. **Interest Calculation:**
   \[
   \text{Interest} = 80 \times \frac{6.6}{100} = \$5.28
   \]

2. **Total Amount to Repay:**
   \[
   \text{Total Repayment} = 80 + 5.28 = \$85.28
   \]

3. **Customer’s Own Money Invested:**
   \[
   \text{Own Money} = 100 - 80 = \$20
   \]

4. **Net Proceeds:**
   \[
   \text{Net Proceeds} = 108.6 - 85.28= \$23.32
   \]

5. **Expected Return:**
   \[
   \text{Expected Return} = \frac{Net Proceeds}{Own Money} \times 100 = \frac{23.32}{20} \times 100 = 116.6\%
   \]

### Answer
**Customer's expected return**: \(116.6\%\)
Transcribed Image Text:### Investment Return Calculation A broker wants to sell a customer an investment costing $100 with an expected payoff in one year of $108.6. The customer indicates that an 8.6 percent return is not very attractive. The broker responds by suggesting the customer borrow $80 for one year at 6.6 percent interest to help pay for the investment. **Problem Statement:** - **Question:** What is the customer's expected return if she borrows the money? (Round your answer to 1 decimal place.) **Calculation:** - **Cost of Investment:** $100 - **Expected Payoff (in one year):** $108.6 - **Amount Borrowed:** $80 - **Interest Rate on Borrowed Amount:** 6.6% **Steps:** 1. **Interest Calculation:** \[ \text{Interest} = 80 \times \frac{6.6}{100} = \$5.28 \] 2. **Total Amount to Repay:** \[ \text{Total Repayment} = 80 + 5.28 = \$85.28 \] 3. **Customer’s Own Money Invested:** \[ \text{Own Money} = 100 - 80 = \$20 \] 4. **Net Proceeds:** \[ \text{Net Proceeds} = 108.6 - 85.28= \$23.32 \] 5. **Expected Return:** \[ \text{Expected Return} = \frac{Net Proceeds}{Own Money} \times 100 = \frac{23.32}{20} \times 100 = 116.6\% \] ### Answer **Customer's expected return**: \(116.6\%\)
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