mple: Suppose that a bond has a face value of P100,000and its ars from now. The coupon rate is5% payable semi-annually. Find nd, assuming that the annual market rate is 4%. en: upon rate r= 5%, payable semi - annually ce Value = 100,000 e to maturity = 10 years nber of periods = 2(10) = 20 ket rate = 4% bondholder receives 20 payments of P2,500 each, and 0,000 at t- 10. ent Value of 100,000: F 100000

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 12P: Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may...
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Example: Suppose that a bond has a face value of P100,000and its maturity date is 10
years from now. The coupon rate is5% payable semi-annually. Find the fair price of this
bond, assuming that the annual market rate is 4%.
Given:
Coupon rate r= 5%, payable semi - annually
Face Value = 100,000
Time to maturity = 10 years
Number of periods = 2(10) = 20
Market rate = 4%
The bondholder receives 20 payments of P2,500 each, and
P100,000 at t = 10.
Present Value of 100,000:
F
P =-
100000
= 67,556.42
1+ 0.0410
Present Value of 20 payments of Php2500 each:
Convert 4% to equivalent semi-annual rate:
1+ jm
0.04
1= (1+=)" -1 - (1+ ) - 1
- 1 =
m
2
| = 0.0404
Transcribed Image Text:Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon rate is5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%. Given: Coupon rate r= 5%, payable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2(10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 each, and P100,000 at t = 10. Present Value of 100,000: F P =- 100000 = 67,556.42 1+ 0.0410 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1+ jm 0.04 1= (1+=)" -1 - (1+ ) - 1 - 1 = m 2 | = 0.0404
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