Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 6.10% 2 6.50% Zero-coupon YTM What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000? The price is $ (Round to the nearest cent.) (...) 3 6.70% 4 7.10% 5 7.30%

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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### Zero-Coupon Yield Table and Pricing

Assume the zero-coupon yields on default-free securities are as summarized in the following table:

| Maturity (years) | Zero-coupon YTM |
|------------------|------------------|
| 1                | 6.10%            |
| 2                | 6.50%            |
| 3                | 6.70%            |
| 4                | 7.10%            |
| 5                | 7.30%            |

**Problem:**
What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000?

**Solution:**
Calculate the present value of the security using the given zero-coupon yield for a 5-year maturity.

\[ \text{Present Value} = \frac{\text{Face Value}}{(1 + \text{YTM})^n} \]

Where YTM is 7.30% (or 0.073) and \( n \) is 5 years.

**Enter the price below:**

The price is $______. (Round to the nearest cent.)
Transcribed Image Text:### Zero-Coupon Yield Table and Pricing Assume the zero-coupon yields on default-free securities are as summarized in the following table: | Maturity (years) | Zero-coupon YTM | |------------------|------------------| | 1 | 6.10% | | 2 | 6.50% | | 3 | 6.70% | | 4 | 7.10% | | 5 | 7.30% | **Problem:** What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000? **Solution:** Calculate the present value of the security using the given zero-coupon yield for a 5-year maturity. \[ \text{Present Value} = \frac{\text{Face Value}}{(1 + \text{YTM})^n} \] Where YTM is 7.30% (or 0.073) and \( n \) is 5 years. **Enter the price below:** The price is $______. (Round to the nearest cent.)
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