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六姑娘 · 2023年04月27日

12.5不能理解

NO.PZ2015122802000023

问题如下:

The current price of a stock is $25 per share. You have $10,000 to invest. You borrow an additional $10,000 from your broker and invest $20,000 in the stock. If the maintenance margin is 30 percent, at what price will a margin call first occur?

选项:

A.

$9.62.

B.

$17.86.

C.

$19.71.

解释:

B is correct.

A margin call will first occur at a price of $17.86. Because you have contributed half and borrowed the remaining half, your initial equity is 50 percent of the initial stock price, or $12.50 = 0.50 × $25. If P is the subsequent price, your equity would change by an amount equal to the change in price. So, your equity at price P would be 12.50 + (P – 25). A margin call will occur when the percentage margin drops to 30 percent. So, the price at which a margin call will occur is the solution to the following equation.

Equity/SharePrice/Share=12.50+P25P=30%\frac{Equity/Share}{Price/Share}=\frac{12.50+P-25}P=30\%

The solution is P = $17.86.

考点:Leveraged Position

这道题目,解题方法有两种:

方法一:期初股价25元,我们借钱买股票,所以自有资金是12.5,自有资金占股价比例12.5/25=50%。当股价从25元跌到P,那么自有资金就跟着减少,当自有资金比例减少到30%时:[12.5-(25-P)]/P=30%,低于这个P我们就要接到电话了。计算得到P=17.86

方法二:直接根据公式,PL=P0*(1-IM)/(1-MM)=25*(1-50%)/(1-30%)=17.86

不太能理解自有资金是12.5?自有资金不是10000吗?12.5应该是用来形容股价的

1 个答案

王园圆_品职助教 · 2023年04月27日

同学你好,题目说投资者原本有10000,又借了10000,然后用总共的20000去投资该股票,那初始自有资金的比例就是50%

而股票价格是25元一股,所以以每一股投资者购买的股票来看,相当于都有股票价格的一半的钱是来自于自有资金的,所以自有资金每一股就是25*50%=12.5

你用10000/20000得到50%也是可以的哦

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NO.PZ2015122802000023问题如下The current priof a stois $25 per share. You have $10,000 to invest. You borrow aition$10,000 from your broker aninvest $20,000 in the stock. If the maintenanmargin is 30 percent, whpriwill a margin call first occur?A.$9.62.B.$17.86.C.$19.71. is correct.A margin call will first occur a priof $17.86. Because you have contributehalf anborrowethe remaining half, your initiequity is 50 percent of the initistoprice, or $12.50 = 0.50 × $25. If P is the subsequent price, your equity woulchange amount equto the change in price. So, your equity priP woul12.50 + (P – 25). A margin call will occur when the percentage margin ops to 30 percent. So, the priwhia margin call will occur is the solution to the following equation.Equity/SharePrice/Share=12.50+P−25P=30%\frac{Equity/Share}{Price/Share}=\frac{12.50+P-25}P=30\%Price/ShareEquity/Share​=P12.50+P−25​=30%The solution is P = $17.86.考点LeveragePosition这道题目,解题方法有两种方法一期初股价25元,我们借钱买股票,所以自有资金是12.5,自有资金占股价比例12.5/25=50%。当股价从25元跌到P,那么自有资金就跟着减少,当自有资金比例减少到30%时[12.5-(25-P)]/P=30%,低于这个P我们就要接到电话了。计算得到P=17.86方法二直接根据公式,PL=P0*(1-IM)/(1-MM)=25*(1-50%)/(1-30%)=17.86 我自己想不出来,怎么算都有问题

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