$1.$ You must label your x$-$axis and y$-$axis. $($You must be specific about the axis! For example, it is not enough to say ST as price at maturity. If the underlying is one$-$month futures on gold, for example, you must say ST$($Gold Price in Month, or Gold Price at Maturity of $1-$Month, etc. $).2.$ You must give a title to the graph. $3.$ If there are more than one line on the table, you must separate them either with color, solid versus broken line, or the style of your choice. $1$ Problem$-01$a $($Calculation$)$: Current crude oil price is $$82\mathrm{.}00$ per barrel. You sell $($short position$)5,$ five, crude oil futures contracts at futures price of $$84\mathrm{.}50$ per barrel with maturity of one month. $($The size of one future contract is $2,000$ barrels$)$ i$.$ What is your profit if the crude oil price is $$88\mathrm{.}00$ at maturity and assume cash settlement for this problem? ii$.$ What is your profit if the crude oil price is $$75\mathrm{.}00$ at maturity and assume cash settlement for this problem? Problem$-01$b $($Excel$)$: Using information in problem$-01$a: i$.$ Graph your profit$/$loss $($P$/$L$)$ function for likely crude oil prices between $$50$ and $$100$ in increments of $$2\mathrm{.}50$ at maturity. Label both axes properly! ii$.$ Is the graph linear? If yes, what is the slope of the P$/$L graph. iii. Write down the function of the graph you draw. $($The function must not be presented in terms of x and y$!)$ iv$.$ Locate problem$-01$a results on the graph in problem$-01$bi$.$Problem$-02$a: Current S&P Index is at $4,100.$ Suppose you take a long $($buy$)$ position on $4,$ four, S&P $500$ futures contracts when the futures price of the index is $4,150\mathrm{.}00.$ Assume that maturity of the futures contracts is one$-$month. $[$The size of one future contract is equal to $($$$250)$x$($Index Value$)].$ i$.$ What is your profit$/$loss $($P$/$L$)$ if S&P $500$ index value is $4,186\mathrm{.}00$ at maturity? ii$.$ What is your profit$/$loss $($P$/$L$)$ if S&P $500$ index value is $4,035\mathrm{.}00$ at maturity? Problem$-02$b: Using information in problem $02$a: i$.$ Graph your P$/$L function for likely S&P $500$ index numbers between $4,300\mathrm{.}00$ and $3,960\mathrm{.}00$ in increments of $20$ at maturity. Label both axes properly! ii$.$ Is the graph linear? If yes, what is the slope of the P$/$L graph. iii. Write down the function of the graph you draw. $($The function must not be presented in terms of x and y$!)$ iv$.$ Locate problem$-02$a results on the graph in problem$-02$b i$.$