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Problem 20-3 Warrants Maese Industries Inc. has warrants outstanding that permit

ID: 2731407 • Letter: P

Question

Problem 20-3
Warrants

Maese Industries Inc. has warrants outstanding that permit the holders to purchase 1 share of stock per warrant at a price of $27.

Calculate the exercise value of the firm's warrants if the common sells at each of the following prices: (1) $20, (2) $25, (3) $30, (4) $100. (Hint: A warrant's exercise value is the difference between the stock price and the purchase price specified by the warrant if the warrant were to be exercised.)

Assume the firm's stock now sells for $20 per share. The company wants to sell some 20-year, $1,000 par value bonds with interest paid annually. Each bond will have attached 100 warrants, each exercisable into 1 share of stock at an exercise price of $25. The firm's straight bonds yield 9%. Assume that each warrant will have a market value of $4 when the stock sells at $20. What coupon interest rate must the company set on the bonds with warrants if they are to clear the market? (Hint: The convertible bond should have an initial price of $1,000.) Round your answer to two decimal places.
%

What dollar coupon must the company set on the bonds with warrants if they are to clear the market? (Hint: The convertible bond should have an initial price of $1,000.) Round your answer to the nearest dollar.
$  

(1) $20 $   (2) 25 $   (3) 30 $   (4) 100 $  

Explanation / Answer

Answer Part 1 :

Exercise value of warrants = Stock price - Purchase price specified by warrant

Answer Part 2 :

Value of warrants + Value of bond =$1,000

Value of warrants:

No of warrants = 100

Warrant Value = $4

Thus, Total value =$400

Value of bond:

n = 20 Years

r =9% per year

PVIF = 0.17843

PVIFA = 9.12855

Redemption value = Par value =$1,000

PVIF*Redemption value = $178.43

PVIFA*Interest payment per period = 9.12855 * Interest payment per period

$400 + 178.43 + 9.12855 * Interest payment per period = $1,000 Interest

9.12855 * Interest payment per Period = $421.57

Interest payment per Period = $46.18

= $46 (Rounded off)

Therefore, the annual dollar coupon payment = 4.6%

Therefore, the coupon rate = 4.6%

Therefore, the company would set a coupon interest rate of 4.60%, producing an annual interest payment I = $46.

Warrents Exercise Value 1 (7) 2 (2) 3 3 4 73
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