Note: The quoted prices are in $$cent$(1$ dollar $=100$ cents$).$

Contract Month Open High Low Settle Chg Open Int

Mar $455\mathrm{.}125457\mathrm{.}000451\mathrm{.}750452\mathrm{.}000-2\mathrm{.}750597,913$

May $467\mathrm{.}000468\mathrm{.}000463\mathrm{.}000463\mathrm{.}250-2\mathrm{.}750137,547$

July $477\mathrm{.}000477\mathrm{.}500472\mathrm{.}500473\mathrm{.}000-2\mathrm{.}000153,164$

Sep $475\mathrm{.}000475\mathrm{.}500471\mathrm{.}750472\mathrm{.}250-2\mathrm{.}00029,258$

Suppose you buy $15$ of the September corn futures contracts at the last price of the day. One

month from now, the futures price of this contract is $462\mathrm{.}125,$ and you close out your position.

a$)$ Calculate your dollar profit on this investment.

b$)$ What is the HPR of this investment?