On January 1, a company issued $19,383,400 of 12 year bonds with a coupon rate of 7%, payable semi-annually on June 30 and December 31. The market rate of interest on the issuance date was 5%. What was the issuance price of the bonds?
On January 1, a company issued $19,383,400 of 12 year bonds with a coupon rate of 7%, payable semi-annually on June 30 and December 31. The market rate of interest on the issuance date was 5%. What was the issuance price of the bonds?
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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Transcribed Image Text:On January 1, a company issued $19,383,400 of 12 year bonds with a coupon rate of 7%, payable semi-annually on June 30 and
December 31. The market rate of interest on the issuance date was 5%.
What was the issuance price of the bonds?
Provide your answer to the nearest whole dollar (no decimals).
O $22,850,118.00
O22,850,118
22,850,119
O 22850118
O 22,850,117
O $22,850,118
Expert Solution

Step 1
Compound = 2 (semiannually)
Time = t = 12 * 2 = 24
Coupon rate = 7/2 = 3.5%
Interest rate = r = 5/2 = 2.5%
Face value = fv = $19,383,400
Coupon = c = fv * coupon rate = 19,383,400 * 0.035 = $678,419
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