June $2021$ Mexican peso futures contract has a price of $$0\mathrm{.}05161$ per MXN$.$ You believe the spot price in June will be $$0\mathrm{.}05807$ per

MXN$.$ MXN$500,000$ is the contract size of one MXN contract.

Required:

a$.$ What speculative position would you enter into to attempt to profit from your beliefs?

b$.$ Calculate your anticipated profits, assuming you take a position in three contracts.

c$.$ What is the size of your profit $($loss$)$ if the futures price is indeed an unbiased predictor of the future spot price and this price

materializes?