
Explanation:
None of the above-mentioned transactions will bring a positive net cash flow.
Transaction A: If the investor borrows $119.4 at the risk-free rate to purchase the shares now, the loan amount, in 6 months, will grow to:
119.40\left(1 + \frac{0.06}{2}\right)^{0.5 \times 2} = \$122.98`2$$
Since the investor will use the proceeds to enter into a contract to short the share at the forward price of $122.982, the net cash flow of the trade will equal:
\`$122.98`2 - \`$122.98`2 = 0
Transaction B: If the investor short sells the stock at the current price of $119.4, and invests the proceeds at the risk-free rate, then 6 months from now the investor will have:
119.40(1.03)^{0.5 \times 2} = \$122.98`2$$
Since the investor will take a long position to purchase the stock at the forward price of $122.982, the net cash flow of the investor will equal:
\`$122.98`2 - \`$122.98`2 = 0
In both transactions, the net cash flow is zero, meaning no arbitrage profit can be earned. This confirms that the forward price of $122.982 is fairly priced according to the cost-of-carry relationship.
Q.668 Brad Lee is a derivatives trader at AMG Investments based in California. Brad is analyzing the shares of Kevin Heart Shoes Company that are currently trading at $119.4 per share. Kevin Heart shares are comparatively new in the market, as the company's IPO was the last quarter. A forward contract to purchase the stock in 6-month is being offered at $122.982. If the risk-free rate is 6% per annum, compounded semi-annually, then determine which of the following transactions will bring positive net cash flow for Lee if he wants to close his position in exactly 6 months?
A
Borrow $119.4 at the risk-free rate to purchase the stock at the current price and then short the stock at the forward price of $122.982.
B
Short sell the stock at the current price of $119.4, invest the proceeds at the risk-free rate and take a long position in the forward contract to purchase the stock at $122.982.
C
All of the above transactions.
D
None of the above transactions.
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