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Diana · 2023年11月02日

强化班讲义哪里有这个公式?

NO.PZ2023020101000010

问题如下:

Three months ago (90 days), Kim purchased a bond with a 3% annual coupon and a maturity date of seven years from the date of purchase. The bond has a face value of US$1,000 and pays interest every 180 days from the date of issue. Kim is concerned about a potential increase in interest rates over the next year and has approached Riley for advice on how to use forward contracts to manage this risk. Riley advises Kim to enter into a short position in a fixed-income forward contract expiring in 360 days. The annualized risk-free rate now is 1.5% per year and the price of the bond with accrued interest is US$1,103.45.

Based on a 360-day year, the price of the forward contract on the bond purchased by Kim is closest to

选项:

A.

US$1,082.

B.

US$1,090.

C.

US$1,120.

解释:

Note that time 0 is the forward contract initiation date, that is, 90 days after the purchase of the bond. Time T is the contract expiration date, that is, 360 days.

The forward contract price follows:

F0(T) = FV0,T [S0 – PVCI0,T]

Present value (PV) of coupons = PVCI0,T = 15/(1.015)90/360 + 15/(1.015)270/360 = 14.944 + 14.833 = US$29.778

F0(T) = (1103.45 – 29.778)(1.015)360/360 = US$1,090.

我只找到了第21页的最下面的,为什么不能用那个公式算?

1 个答案

pzqa35 · 2023年11月06日

嗨,从没放弃的小努力你好:


这道题是求forward price,所以计算过程应该如下:

同学所说的公式应该是这个

这个我们求得是QFP,也就是futures的报价,但这里求的只是forward price,所以直接求即可,不用做转换。

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