You seek to enter into a forward contract to purchase $100$ ounces of gold in $6$ months. The current spot price of gold is $$1,500$ per ounce and the continuously compounded risk$-$free interest rate is $5\%.$ The fair forward price for this contract is closest to

Group of answer choices

$$1,427$ per oz$.$

$$1,463$ per oz$.$

$$1,538$ per oz$.$

$$1,577$ per oz$.$

it cannot be calculated with information provided