
Explanation:
Correct answer: B
First compute the no-arbitrage theoretical forward/futures price:
The observed six-month forward price is $30.40, which is higher than the theoretical no-arbitrage price. That means the forward is overpriced.
$30$30.40$30.40$30 e^{0.005} \approx 30.1504$So the correct arbitrage is cash and carry with profit of about $0.250.
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Q-707.3. The spot price of commodity, , is currently `F(0) = S(0)\exp(rT)F(0)=S(0)*(1+r)^TrF(0, 0.5), is \`30.40`, then which of the following is the CORRECT arbitrage trade (i.e., trade that exploits the arbitrage opportunity)?
A
There is no arbitrage opportunity
B
Cash and carry: Buy the commodity at the current spot price and short the futures contract for a future profit of about `$0.25`0
C
Cash and carry: Buy the commodity at the current spot price and short the futures contract for a future profit of about `$1.39`0
D
Reverse cash and carry: Sell short the commodity at the current spot price and buy the futures contract for a future profit of about `$0.14`0