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An investor shorts 100 shares when the share price is $50 and closes out the position six months later when the share price is $43. The shares pay a dividend of $3 per share during the six months. How much does the investor gain? A.$700B.$1,000C.$300D.$400

Question

An investor shorts 100 shares when the share price is 50andclosesoutthepositionsixmonthslaterwhenthesharepriceis50 and closes out the position six months later when the share price is 43. The shares pay a dividend of 3pershareduringthesixmonths.Howmuchdoestheinvestorgain? A.3 per share during the six months. How much does the investor gain? A.700B.1,000C.1,000C.300D.$400

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Solution

When an investor shorts a stock, they borrow the stock and sell it with the hope that they can buy it back at a lower price in the future.

In this case, the investor shorts 100 shares at 50pershare,sotheyreceive50 per share, so they receive 50 * 100 = $5,000 from the sale.

Six months later, the investor buys back the shares to close out the position. The share price has dropped to 43,sothecosttobuybackthesharesis43, so the cost to buy back the shares is 43 * 100 = $4,300.

So far, the investor has gained 5,0005,000 - 4,300 = $700.

However, while the investor was short the stock, a dividend of 3persharewaspaid.Whenaninvestorisshortastock,theyareresponsibleforpayinganydividendsthatareissued.Sotheinvestormustpay3 per share was paid. When an investor is short a stock, they are responsible for paying any dividends that are issued. So the investor must pay 3 * 100 = $300 for the dividend.

Therefore, the total gain for the investor is 700700 - 300 = $400.

The correct answer is D. $400.

This problem has been solved

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