I have a finance question. The price of a bond is currently $980. Today is July 15, 2018. The bond is expected to pay $45 coupon on October 15, 2018…

I have a finance question. The price of a bond is currently $980. Today is July 15, 2018. The bond is expected to pay $45 coupon on October 15, 2018 and another $45 coupon on April 15, 2019. The one-year forward contract on this bond has a forward price of $1050. The risk-free interest rates for three, six, and twelve months are 3.0%, 4.5%, and 5% respectively. Show whether an arbitrage opportunity exists or not and how it can be taken advantage of. I don’t know how to calculate, can you show the process?

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