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葛峰杰 · 2024年07月25日

为什么这道题分子上不减去借来的4000?

NO.PZ2023040301000028

问题如下:

Jason Williams purchased 500 shares of a company at $32 per share. The stock was bought on 75 percent margin. One month later, Williams had to pay interest on the amount borrowed at a rate of 2 percent per month. At that time, Williams received a dividend of $0.50 per share. Immediately after that he sold the shares at $28 per share. He paid commissions of $10 on the purchase and $10 on the sale of the stock. What was the rate of return on this investment for the one-month period?

选项:

A.

–12.5 percent

B.

–15.4 percent

C.

–50.1 percent

解释:

Total cost of the purchase = $16,000 = 500 X $32

Equity invested = $12,000 = 0.75 X $16,000

Amount borrowed = $4,000 = $16,000 - $12,000

Interest paid at month end = $80 = 0.02 X $4,000

Dividend received at month end = $250 = 500 X $0.50

Proceeds on stock sale = $14,000 = 500 X 28

Total commissions paid = $20 = $10 + $10

Net gain/loss = -$1,850 = -16,000 - 80 + 250 + 14,000- 20

Initial investment including commission on purchase = $12,010

Return = - 15.4% =-$1,850 / $12,010




1 个答案

王园圆_品职助教 · 2024年07月25日

同学你好,同样买1股股票,无论你是借钱买这个股票,还是100%用自有资金买股票,如果不考虑借钱还需要多支付利息的话,那股票涨跌和分红带来的收益是不是都是一样的?收益都是这一股股票价格的增加额+一股股票分红的金额之和

所以无论怎么借钱,计算收益的时候不需要考虑借钱的金额是多少,只需要计算

总共初始买入的全部股票的数量*(一股股票价格的增加额+一股股票分红的金额)

本题的计算逻辑就是上面这个公式的逻辑哦,只是由于借钱需要支付利息,所以需要从收益中扣减支付的利息费用数才是最后的收益

利用杠杆,本质是通过减小收益率return的分母而不是调整分子来使收益率扩大的

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NO.PZ2023040301000028问题如下 Jason Williams purchase500 shares of a company $32 per share. The stowbought on 75 percent margin. One month later, Williams hto pinterest on the amount borrowea rate of 2 percent per month. thtime, Williams receivea vinof $0.50 per share. Immeately after thhe solthe shares $28 per share. He paicommissions of $10 on the purchase an$10 on the sale of the stock. Whwthe rate of return on this investment for the one-month perio A.–12.5 percentB.–15.4 percentC.–50.1 percent Totcost of the purchase = $16,000 = 500 X $32Equity investe= $12,000 = 0.75 X $16,000Amount borrowe= $4,000 = $16,000 - $12,000Interest paimonth en= $80 = 0.02 X $4,000vinreceivemonth en= $250 = 500 X $0.50Procee on stosale = $14,000 = 500 X 28Totcommissions pai= $20 = $10 + $10Net gain/loss = -$1,850 = -16,000 - 80 + 250 + 14,000- 20Initiinvestment inclung commission on purchase = $12,010Return = - 15.4% =-$1,850 / $12,010 怎么看出不是借500*32*75%的钱?

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NO.PZ2023040301000028 问题如下 Jason Williams purchase500 shares of a company $32 per share. The stowbought on 75 percent margin. One month later, Williams hto pinterest on the amount borrowea rate of 2 percent per month. thtime, Williams receivea vinof $0.50 per share. Immeately after thhe solthe shares $28 per share. He paicommissions of $10 on the purchase an$10 on the sale of the stock. Whwthe rate of return on this investment for the one-month perio A.–12.5 percent B.–15.4 percent C.–50.1 percent Totcost of the purchase = $16,000 = 500 X $32Equity investe= $12,000 = 0.75 X $16,000Amount borrowe= $4,000 = $16,000 - $12,000Interest paimonth en= $80 = 0.02 X $4,000vinreceivemonth en= $250 = 500 X $0.50Procee on stosale = $14,000 = 500 X 28Totcommissions pai= $20 = $10 + $10Net gain/loss = -$1,850 = -16,000 - 80 + 250 + 14,000- 20Initiinvestment inclung commission on purchase = $12,010Return = - 15.4% =-$1,850 / $12,010 10commission不是收入吗?为什么属于Initiinvestment

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