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12345678wdv · 2024年05月14日

A long hedge position benefits from weakening of basis

NO.PZ2023091802000032

问题如下:

Which of the following statements are true with respect to basis risk?

I. Basis risk arises in cross-hedging strategies but there is no basis risk when the underlying asset and hedge asset are identical.

II. Short hedge position benefits from unexpected strengthening of basis.

III. Long hedge position benefits from unexpected strengthening of basis.

选项:

A.

I and II

B.

I and III

C.

II only

D.

III only

解释:

“II” is the only true statement. A short hedge position or a short forward contract benefits from any unexpected decline in future prices and subsequent strengthening of basis. An increase in basis is known as a strengthening of the basis. The payoff to the short hedge position is spot price at maturity (S2) and the difference between futures price i.e., (F1 – F2). Thus, payoff = S2 + F1 F2 = F1 + b2, where b2 is the basis.

Basis risk can also arise if underlying asset and hedge asset are identical. This can happen if the maturity of the hedge contract and the delivery date of asset do not match. A long hedge position benefits from weakening of basis.

请问下这句如何理解

1 个答案

李坏_品职助教 · 2024年05月14日

嗨,爱思考的PZer你好:



long hedge指的是通过做多期货合约进行对冲。这句英文的意思是,long hedge这个操作会受益于basis下降。


basis = spot price - future price。

而long hedge = long futures+ short spot,所以long hedge的payoff = F2 - F1 + S1 - S2 = (S1-F1) - (S2 - F2) = Basis 1 - Basis 2,

当basis下降时,也就是Basis 2 小于Basis 1,那么long hedge的payoff大于0。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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