Debt: $3,500,000 par value of outstanding bond that pays annually 10% coupon rate with an annual before-tax yield to maturity of 12%. The bond issue has face value of $1,000 and will mature in 20 years. Ordinary shares: $5,500,000 book value of outstanding ordinary shares. Nominal value of each share is $100. The firm plan just paid a $8.50 dividend per share. The firm is maintaining 4% annual growth rate in dividends, which is expected to continue indefinitely.  Preferred shares: 45,000 outstanding preferred shares with face value of $100, paying fixed dividend rate of 12%. The firm's marginal tax rate is 30%. Required: a) Calculate the current price of the corporate bond?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section: Chapter Questions
Problem 14P
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Debt: $3,500,000 par value of outstanding bond that pays annually 10% coupon rate with an annual before-tax yield to maturity of 12%. The bond issue has face value of $1,000 and will mature in 20 years.
 
Ordinary shares: $5,500,000 book value of outstanding ordinary shares. Nominal value of each share is $100. The firm plan just paid a $8.50 dividend per share. The firm is maintaining 4% annual growth rate in dividends, which is expected to continue indefinitely. 
 
Preferred shares: 45,000 outstanding preferred shares with face value of $100, paying fixed dividend rate of 12%.
 
The firm's marginal tax rate is 30%.
 
Required: a) Calculate the current price of the corporate bond?

Expert Solution
Step 1

Bonds are the liabilities of the company which is issued to raise the funds required to finance the capital requirement of the company. The company needs to pay interest expenses against the bonds financing. 

Step 2

Compute the after-tax yield to maturity, using the equation as shown below:

After tax yield=Before tax yield×1-Tax rate=12%×1-0.30=8.40%

Hence, the after-tax yield to maturity is 8.40%. 

 

Step 3

Compute the annual interest, using the equation as shown below:

Annual interest=Face value×Coupon rate=$1,000×10%=$100

Hence, the annual interest is $100. 

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