# Homework Week 1 Fi516

### Homework Week 1 Fi516

Problem 19-3 (Chapter 19) on WarrantsThis problem is posted on page 781 of the textbook.

Warrants

Maese Industries Inc. has warrants outstanding that permit the holders to purchase 1 share of stock per warrant at a price of $25.

a. 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.)

b. 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 50 warrants, each exercisable into 1 share of stock at an exercise price of $25. The firm’s straight bonds yield 12%. Assume that each warrant will have a market value of $3 when the stock sells at $20. What coupon interest rate, and 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.)

Solution:

a. Expiration value = Current price - Striking price.

Current Striking Expiration

Price Price Value

$ 20 $25 -$5 or 0

25 25 0

30 25 5

100 25 75

b. V Package = $1,000 = = VB + 40($3)

VB = $1,000 - $150 = $850.

$850 = =

= I (7.4694) + $1,000(0.1037) = I(7.6494) + $103.70

$746.30 = I (7.4694)

I = = $99.91 $100.

Therefore, the company would set a coupon interest rate of 10 percent, producing an annual interest payment I = $100.