You are examining the crude oil market on February $1.$ The spot price is

$$85$ per barrel and the April futures price is $$89$ per barrel. Delivery on

the crude oil futures contract begins on April $1.$ You have access to a

crude oil storage facility in Cushing, Oklahoma and you can store oil at a

cost of $$1$ per barrel per month $($payable at the beginning of each

month$).$ The one$-$month SOFR rate is $2\mathrm{.}5\%$ and the two$-$month SOFR

rate is $3\%($continuous compounding, expressed as annual rate$).$ Is there

an arbitrage opportunity?