In April 2016, an FI bought a one-month sterling T-bill paying 100 million in May 2016. The FI's liabilities are in dollars, and current exchange rate is $1.6401/1. The bank can buy one-month options on sterling at an exercise price of $1.60/1. Each contract has a size of 31,250, and the contracts currently have a premium of $0.014 per . Alternatively, options on foreign currency futures contracts, which have a size of 62,500, are available for $0.0106 per .How many options should the FI purchase, and what will be the cost?Show all your work and discuss.