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Cooljas · 2024年04月30日

为啥这样就可以使得0时刻不用支付费用?

NO.PZ2023091802000127

问题如下:

An option trader at an equity hedge fund is assessing the cost structure of the fund’s portfolio of options. The trader examines the types of positions the fund trades with its prime brokers and investigates whether the fund can reduce the upfront costs of its option positions. How can the trader transform a long option into a zero-cost derivative product?

选项:

A.

Arranging with the option seller to pay an amount equal to the upfront option premium at maturity rather than at option initiation

B.

Entering into an agreement to purchase the payoff of the option at maturity for an amount equal to the future value of the current option premium

C.

Combining the purchase of the option with a sale of other options such that the net premium is zero and the combined payoff is identical to the payoff of the original option

D.

Purchasing the option and selling the underlying stock such that the net upfront cash flow is zero and the payoff is identical to the payoff of the original option

解释:

B is correct. This describes the process that transforms a regular upfront premium option into a zero-cost derivative product. The option purchaser essentially agrees to buy the option payoff for a premium equal to the future value of the upfront option premium.

A is incorrect. The option buyer would not be able to pay the same premium at maturity as they would at option initiation. The premium would be increased by an interest charge.

C is incorrect. A single option can be packaged with other options to make the net premium zero but the payoff will not remain identical. Generally, there is a trade-off involving the cost of the position and the payoff of the position. For example, if the payoff of a call could be structured with a package of options resulting in no cost, there would be no need for outright calls. This is not the process described to make any derivative a zero-cost product.

D is incorrect. It is not going to have the same payoff.

为啥这样就可以使得0时刻不用支付费用?

2 个答案

pzqa39 · 2024年10月21日

嗨,从没放弃的小努力你好:



在你描述的这种特殊安排下,如果期权到期时无价值(即期权未被执行),买家通常不需要支付相当于未来价值(FV)的期权费。这是因为期权到期时没有产生任何盈利,期权自然失效。在传统的期权结构中,期权费是为了获得行使期权的权利,而不是义务,所以如果期权到期时对买方没有任何价值,他们也不会需要额外支付更多的费用。

至于最后的payoff不足以覆盖期权费的情况,这通常不会导致买家支付额外的资金,因为期权买家的最大损失是期权费本身。在这种推迟支付的安排下,理论上如果期权没有价值,期权费也不必支付。这与期权的非对称性结构相符,即期权买家的损失仅限于权利金,而他们的收益则是不受限的

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pzqa39 · 2024年04月30日

嗨,努力学习的PZer你好:


这个描述概括了一种操作过程,通过该过程,普通的预付期权费期权被转变成了零成本的衍生产品。具体来说,它涉及期权买家与期权卖家达成一项特别安排,即期权费的支付不再是期权建立时立即支付,而是推迟到期权到期时支付,支付金额等于最初期权费在到期时的等值金额。

简而言之,这一转换过程的工作原理如下:

  1. 传统模式:通常情况下,购买期权时,买方需要立即支付一笔期权费,以获取在未来某个时间以特定价格买卖标的资产的权利。
  2. 创新安排:在此提议的安排下,期权买家与卖家协商,将期权费的支付时间点从期权交易初始时延后至期权到期日。这意味着期权买家不必在交易开始时就动用资金支付期权费。
  3. 零成本衍生品:尽管最终买家仍需支付期权费,但由于费用支付被推迟,且在此期间资金可用于其他投资或产生收益,从现金流管理角度看,该期权成为了“零成本”。这里的“零成本”并非指完全免费,而是指初期无需现金流出。
  4. 期权收益的购买:期权买家实质上同意在期权到期时,根据期权是否被执行(即是否有利可图)的情况,按相当于前期期权费未来价值的金额来结算期权收益。如果期权到期时处于实值状态,买家支付的金额将等于期权费加上潜在盈利;如果期权无价值,则无需支付,但也不会有额外的前期支出。

因此,这一策略通过时间上的财务安排,改变了期权成本的即时负担,使期权在初始时不产生现金流出,从而在某种程度上实现了“零成本”的效果,尽管实际上成本是被延迟并且附带了未来支付的义务。

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努力的时光都是限量版,加油!

YI YU · 2024年10月20日

请问一下,如果期权最后无价值,买家是否还是需要支付相当于FV 期权费的费用呢? 又或者最后的payoff 不够cover这个期权费这样的情况会怎么办呢?

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2023-10-18 17:07 1 · 回答