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youtkr · 2022年08月08日

应该是后期复利的时间增加了三个月?

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NO.PZ202108100100000301

问题如下:

Which of Doyle’s statements regarding the Eurodollar futures contract price is correct?

选项:

A.

Only Statement 1

B.

Only Statement 2

C.

Both Statement 1 and Statement 2

解释:

C is correct.

Doyle’s first statement is correct. Unless the Eurodollar futures contract’s quoted price is equal to the no-arbitrage futures price, there is an arbitrage opportunity. Moreover, if the quoted futures price is less than the no arbitrage futures price, then to take advantage of the arbitrage opportunity, the Eurodollar futures contract should be purchased and the underlying Eurodollar bond should be sold short. Doyle would then lend the short sale proceeds at the risk-free rate. The strategy that comprises those transactions is known as reverse carry arbitrage.

Doyle’s second statement is also correct. Based on the cost of carry model, the futures price is calculated as the future value of the sum of the underlying plus the underlying carry costs minus the future value of any ownership benefits. If the Eurodollar bond’s interest payment was expected in five months instead of two, the benefit of the cash flow would occur three months later, so the future value of the benefits term would be slightly lower. Therefore, the Eurodollar futures contract price would be slightly higher if the Eurodollar bond’s interest payment was expected in five months instead of two months.

A is incorrect because Doyle’s Statement 2 is correct (not incorrect). Based on the cost of carry model, the futures price would be higher if the underlying Eurodollar bond’s interest payment took place in five months instead of two months.

B is incorrect because Doyle’s Statement 1 is correct (not incorrect). If the Eurodollar’s futures contract price is less than the price suggested by the carry arbitrage model, the futures contract should be purchased.

中文解析:

表述1:由无套利模型定价得到的期货的价格是合理定价,现在市场上欧洲美元期货的价格低于这个合理定价,则买低卖高,因此应该买入,表述正确。

表述2:期货价格=FV(S0 +CC-CB),CC表示carry cost,CB表示carry benefit。

interest payment属于CB,如果利息支付发生在5个月而非2个月后,则CB的FV会因为后期复利的时间缩短了3个月而降低,考虑到CB作为减项,其减少将会导致期货价格上升,因此表述正确。

如题

1 个答案

Lucky_品职助教 · 2022年08月09日

嗨,从没放弃的小努力你好:


我们举一个极端的例子,这个期货合约5个月后到期,如果coupon在2个月后发,那距离期货合约到期coupon可以复利3个月,计算期货价格=FV(S0 +CC-“CB和它的3个月复利”);如果coupon在5个月后发,那距离期货合约到期没有coupon没有复利,计算期货价格=FV(S0 +CC-0);可以看出coupon在2个月后发,期货价格更低,因为被减项更大。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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