Infinity Inc, a U.S. based company, will receive 1,000,000 in 180 days. Infinity also has payables due in 180 days of 1,200,000. Today's spot rate of the Pound is $1.25, and the 180-day forward rate is $1.28. The 180-day annualized interest rates are as follows:

Invest rate ($) = 5% Invest Rate () = 4%

Borrow Rate ($) = 6% Borrow Rate () = 5%

Possible Spot Rate
in 180 Days	Probability
$1.15	10%
$1.17	30%
$1.19	50%
$1.30	10%

g. Using the probabilities from part f, what is the probability that your chosen hedge is better for the company than not hedging?