At t 0 : - Tesla is trading @ $80; Google is trading @ $101 - 1-year
Question:
At t0:
- Tesla is trading @ $80; Google is trading @ $101
- 1-year risk free rate is 5%; the 2-year risk free rate is 10%.
- Tesla is going to pay a dividend at t1, but we do not know the dividend.
- Forward price on a 2-year Tesla forward contract is 82.
- Google is going to pay a dividend at t1, but the dividend is unknown.
- The forward price on a 2-year forward contract on Google is 121.
$0 is the cost of a dividend swap at t0, and makes a single payment at t1 of (Tesla Div1 - Google Div1 - SW) if you are long the swap, or - (Tesla Div1 - Google Div1 - SW) if you are short the swap, where SW is the dividend swap price determined at t0.
a)What is SW if there is no arbitrage?
b)If SW is $0.20 greater than in part a. Describe the trades to construct an arbitrage.
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest