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梦梦 · 2024年06月12日

有两个问题

NO.PZ2020021204000036

问题如下:

Assume that the bond that will be cheapest to deliver in a Treasury bond futures contract pays semi-annual coupons at the rate of 10% per annum on May 1 and November 1 and will be delivered on September 1. The bond's quoted price on August 1 is 130.00 and its conversion factor is 1.2341. Estimate the futures price on August 1 assuming that all interest rates are 4% (continuously compounded).

解释:

There are 92 days between May 1 and August 1 (30, 30,31, and 1 in May, June, July, and August, respectively) and 184 days between May 1 and November 1 (30, 30, 31, 31, 30, 31, 1 in May, June, July, August, September, October, and November, respectively). The dirty price of the bond is therefore:

130 + 5 X 92/184 = 132.5

No coupons will be paid in the 31-day period between August 1 and September 1. The time to delivery is 31/365 = 0.0849 years. The dirty futures price is therefore:

132.5e0.0849X0.04=132.9509

The accrued interest on September 1 is 5 X 123/184= 3.3423. The clean futures price is therefore:

132.9509 - 3.3423 = 129.6086

Dividing by the conversion factor we obtain the estimated futures price as:

129.6086/1.2341= 105.0227

老师,我这粉色框的公式对吗?

还有算头不算尾的话,5月1日至10月31日,算5月1日,不算11月1日,不应该是183天吗?用计算器算的。



4 个答案

品职答疑小助手雍 · 2024年06月19日

考试时候选项会有明显区别的,不会特别接近。

梦梦 · 2024年06月21日

好的,谢谢

品职答疑小助手雍 · 2024年06月17日

国内银行和考试计算都是算头不算尾的。

但是解析和原版书写的看样子像是算尾不算头,不过不用管(实际上这两种算法天数没区别)

梦梦 · 2024年06月17日

好的,考试时答案还是会有明显区别吧?少算一两天还是能先选出答案吧

品职答疑小助手雍 · 2024年06月14日

算头不算尾。

梦梦 · 2024年06月14日

可是这道题算尾了啊,算上12月1日付息的这1天了哦,所以我就不懂了,到底怎么算

品职答疑小助手雍 · 2024年06月13日

同学你好,粉框的式子除了184天那个天数以外都没有错。

这个天数解析里已经把每个月有多少天列出来了,加起来就是184。

这道题是讲义298页的例题原题,这种天数加减不建议用计算器

梦梦 · 2024年06月13日

老师,我现在就想知道计算AI天数的原理,也就是派息日的计算规则,是派息当天不算,还是派息当天算,还是算头不算尾,还是算尾不算头。而且适应所有frm计算AI的考试题

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NO.PZ2020021204000036 问题如下 Assume ththe bonthwill cheapest to liver in a Treasury bonfutures contrapays semi-annucoupons the rate of 10% per annum on M1 anNovember 1 anwill livereon September 1. The bons quoteprion August 1 is 130.00 anits conversion factor is 1.2341. Estimate the futures prion August 1 assuming thall interest rates are 4% (continuously compoun. There are 92 ys between M1 anAugust 1 (30, 30,31, an1 in May, June, July, anAugust, respectively) an184 ys between M1 anNovember 1 (30, 30, 31, 31, 30, 31, 1 in May, June, July, August, September, October, anNovember, respectively). The rty priof the bonis therefore:130 + 5 X 92/184 = 132.5No coupons will paiin the 31-y periobetween August 1 anSeptember 1. The time to livery is 31/365 = 0.0849 years. The rty futures priis therefore:132.5e0.0849X0.04=132.9509The accrueinterest on September 1 is 5 X 123/184= 3.3423. The clefutures priis therefore:132.9509 - 3.3423 = 129.6086ving the conversion factor we obtain the estimatefutures prias:129.6086/1.2341= 105.0227 the bonthwill cheapest to liver in a Treasury bonfutures contrapays semi-annucoupons the rate of 10% per annum on M1 anNovember 1 anwill livereon September 1. 有一个T-bonfutures在9.1日交割,且为CTon每5.1和11.1按5%半年给一次coupon 。The bons quoteprion August 1 is 130.00 anits conversion factor is 1.2341. 债券在8.1的价格为130*1.2341+AI。Estimate the futures prion August 1 assuming thall interest rates are 4% (continuously compoun.假设复利4%,计算期货价格。也就是8月1日签1个月的债券期货合约,合约价格是130*1.2341+AI;9月1日合约到期交割,求9月1日的债券期货价格。想请问,1、T-bon值不是10million吗,在计算半年coupon时为什么是假设100面值,直接折算为5呢?2、8月1日的价格不就是债券期货价格吗?3、不理解这个场景的背后逻辑。

2024-03-20 23:35 3 · 回答

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2023-04-12 18:58 1 · 回答

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2023-01-20 08:53 1 · 回答

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