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...


Example: Suppose that a bond has a face value of P100,000and its maturity date is 10<br>years from now. The coupon rate is5% payable semi-annually. Find the fair price of this<br>bond, assuming that the annual market rate is 4%.<br>Given:<br>Coupon rate r= 5%, payable semi - annually<br>Face Value = 100,000<br>Time to maturity = 10 years<br>Number of periods = 2(10) = 20<br>Market rate = 4%<br>The bondholder receives 20 payments of P2,500 each, and<br>P100,000 at t = 10.<br>Present Value of 100,000:<br>F<br>P =-<br>100000<br>= 67,556.42<br>1+ 0.0410<br>Present Value of 20 payments of Php2500 each:<br>Convert 4% to equivalent semi-annual rate:<br>1+ jm<br>0.04<br>1= (1+=)

Extracted 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

Jun 07, 2022
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