4. Rich McDonald, CFA, is evaluating his investment alternatives in Ytel Incorporated by analyzing a Ytel convertible bond and Ytel common equity. Characteristics of the two securities are given in the following exhibit:

Characteristics Convertible Bond Common Equity Par value $1,000 —

Coupon (annual payment) 4% —

Current market price $980 $35 per share Straight bond value $925 —

Conversion ratio 25 —

Conversion option At any time —

Dividend — $0 Expected market price in 1 year $1,125 $45 per share

a. Calculate, based on the exhibit, the:

i. Current market conversion price for the Ytel convertible bond.

ii. Expected 1-year rate of return for the Ytel convertible bond.

iii. Expected 1-year rate of return for the Ytel common equity.

One year has passed and Ytel’s common equity price has increased to $51 per share. Also, over the year, the interest rate on Ytel’s nonconvertible bonds of the same maturity increased, while credit spreads remained unchanged.

b. Name the two components of the convertible bond’s value. Indicate whether the value of each component should decrease, stay the same, or increase in response to the:

i. Increase in Ytel’s common equity price.

ii. Increase in interest rates.

5.

a. Consider a bullish spread option strategy using a call option with a $25 exercise price priced at

$4 and a call option with a $40 exercise price priced at $2.50. If the price of the stock increases to $50 at expiration and each option is exercised on the expiration date, the net profit per share at expiration (ignoring transaction costs) is:
i. $8.50 ii. $13.50 iii. $16.50 iv. $23.50

b. A put on XYZ stock with a strike price of $40 is priced at $2.00 per share, while a call with a strike price of $40 is priced at $3.50. What is the maximum per-share loss to the writer of the uncovered put and the maximum per-share gain to the writer of the uncovered call?
Maximum Loss to Put Writer Maximum Gain to Call Writer i. $38.00 $ 3.50 ii. $38.00 $36.50 iii. $40.00 $ 3.50 iv. $40.00 $40.00