The spot price of gold today is $$1,507$ per troy ounce, and the futures price for a contract maturing in seven months is $$1,548$ per troy ounce. If Golddy Plc puts on a futures hedge today and lifts the hedge after five months.

a$)$ Calculate the cost of carry for gold.

b$)$ If the spot price of gold in five months$$ time turns out to be $$1,520.$ What will be the futures price five months from now?

c$)$ How much is the basis in five months$$ time?