Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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**Investment Opportunity Analysis**

You have an opportunity to invest $49,200 now in return for $60,900 in one year. If your cost of capital is 7.6%, what is the NPV (Net Present Value) of this investment?

---

The NPV will be $____. (Round to the nearest cent.)

---

### Explanation:

To determine the NPV of this investment, you need to discount the future cash flows back to their present value and subtract the initial investment. The formula for NPV is:

\[ \text{NPV} = \frac{C_t}{(1 + r)^t} - C_0 \]

Where:
- \( C_t \) = Cash inflow at time t ($60,900)
- \( C_0 \) = Initial investment ($49,200)
- r = Discount rate (7.6% or 0.076)
- t = Time period (1 year)

By inputting the given values into the formula, you can solve for the NPV.
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Transcribed Image Text:**Investment Opportunity Analysis** You have an opportunity to invest $49,200 now in return for $60,900 in one year. If your cost of capital is 7.6%, what is the NPV (Net Present Value) of this investment? --- The NPV will be $____. (Round to the nearest cent.) --- ### Explanation: To determine the NPV of this investment, you need to discount the future cash flows back to their present value and subtract the initial investment. The formula for NPV is: \[ \text{NPV} = \frac{C_t}{(1 + r)^t} - C_0 \] Where: - \( C_t \) = Cash inflow at time t ($60,900) - \( C_0 \) = Initial investment ($49,200) - r = Discount rate (7.6% or 0.076) - t = Time period (1 year) By inputting the given values into the formula, you can solve for the NPV.
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