NO.PZ202106160100000103
问题如下:
Using the quotes from Dealer A and B, the triangular arbitrage profit on a
transaction of MXN 27,000,000 would be closest to:
选项:
A.GBP 0.
GBP 5,400.
GBP 10,800.
解释:
A is correct.
Using quotes from Dealer A, she can find
The bid from Dealer A for MXN/GBP is effectively
The offer from Dealer A is
To compare with Dealer B’s quote, she must take the inverse of MXN/GBP, so that she has an offer to sell MXN at a rate of 1/24.7742 = GBP 0.0404 and a bid to purchase MXN at a rate of 1/24.8069 = GBP 0.0403. Dealer A is effectively quoting. Although she can effectively buy pesos more cheaply from Dealer A (GBP 0.0404 from Dealer A, versus GBP 0.0406 from Dealer B), she cannot resell them to Dealer B for a higher price than GBP 0.0403. There is no profit from triangular arbitrage.
考点:Triangular arbitrage
能不能从三角套汇中获利的核心在于能不能实现低买高卖。
首先我们计算出Dealer A处MXN/GBP的报价
把上述形式转换一下可得 GBP/MXN的形式,
ASK: 1/24.7742 = 0.0404GBP/MXN
BID: 1/24.8069 = 0.0403GBP/MXN
注意到,MXN/GBP换成GBP/MXN后,因为标价货币和基础货币的地位对调了,所以取倒数后BID和ASK报价也要变化。 现在我们可以拿Dealer A的报价与Dealer B的报价作比较了。
Dealer B关于GBP/MXN的报价是0.0403/0.0406。可以看到,Dealer A对于MXN报价便宜一些,那么投资者应该首先从Dealer A处以0.0404GBP/MXN的价格买进MXN,然后去Dealer B处卖掉MXN,但是在Dealer B卖掉MXN就要用Dealer B的买价,0.0403。可以直观看到投资者以0.0404价格买入,却以0.0403价格卖出,是没有利润可得的。所以投资者不会去做这笔三角套汇,那么三角套汇的利润自然为0。
是否一个dealer的买价和卖价同时大于另一个dealer,才有套利可能?