Given: Coupon rate (6.55%), maturity (15 years), purchase YTM (6.15%). Adjust coupon and maturity for semi-annual periods: Coupon per period = 6.55% / 2 = 3.275%. Number of periods = 15 years * 2 = 30 periods. Use the bond pricing formula: Price = (Coupon * (1 - (1 + YTM/2)^-Number of periods)) / (YTM/2 + (1 + YTM/2)^-Number of periods)
Given: Coupon rate (6.55%), maturity (15 years), purchase YTM (6.15%). Adjust coupon and maturity for semi-annual periods: Coupon per period = 6.55% / 2 = 3.275%. Number of periods = 15 years * 2 = 30 periods. Use the bond pricing formula: Price = (Coupon * (1 - (1 + YTM/2)^-Number of periods)) / (YTM/2 + (1 + YTM/2)^-Number of periods)
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
Problem 1PS
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Can you explain step by step how you get $1,104.23 by plugging in the numbers and using the formula below?:
- Given: Coupon rate (6.55%), maturity (15 years), purchase YTM (6.15%).
- Adjust coupon and maturity for semi-annual periods:
- Coupon per period = 6.55% / 2 = 3.275%.
- Number of periods = 15 years * 2 = 30 periods.
- Use the
bond pricing formula: Price = (Coupon * (1 - (1 + YTM/2)^-Number of periods)) / (YTM/2 + (1 + YTM/2)^-Number of periods)
- Plug in the values: Price ≈ $1,104.23.
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