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Replicate a long position in this forward contract with a

A common stock trades today at S ₀¼ 50, and the risk-free rate is 5% on a semi- annual basis.

What is the forward price of this stock for delivery in 6 months?
Replicate a long position in this forward contract with a portfolio of stock and T-bills, giving details on the initial position as well as the trade resolution in 6 months.
If the market traded long and short 6-month forwards on this stock with a price of 53, develop an arbitrage to take advantage of this mispricing, giving details on the initial position as well as the trade resolution in 6 months.
If an investor goes long the forward in part (a), how much does the investor make or lose at 3 months' time when the contract is o¤set in the market if the stock price has risen to 52, and the 3-month risk-free rate is at 4:50% (semiannual)?

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Mechanical Engineering: Replicate a long position in this forward contract with a

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