Problem:
Microsoft plans on issuing a 10 year bond with European style equity warrants that expire in 6 years and have an exercise price of $260. Microsoft currently has 1500 million shares outstanding and wishes to raise an additional $300 million with these warrants. The last closing price of Microsoft shares was $250. The risk free 6,5% per annum and the annualized 90 day volatility of Microsoft shares is 24,32%. Microsoft has an annual dividend yield of 2,3%.
1) estimate the fair value of the warrants, first using the relevant information to calculate black scholes value of analogous call option
2) determine the stock price at expiration, assuming the warrants are exercised if the value of Microsoft is at least $420 billion
3) Someone asks you if delta of the warrant will be the same as an equivalent call option. What will you say?