开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

xiaobaiybz · 2022年04月20日

老师,这道题我这么做对么?感觉跟答案不太一样呢?

* 问题详情,请 查看题干

NO.PZ202108100100000101

问题如下:

Based on Exhibit 1 and assuming annual compounding, the arbitrage profit on the bond futures contract is closest to:

选项:

A.

0.4158.

B.

0.5356

C.

0.6195

解释:

B is correct.

The no-arbitrage futures price is equal to the following:

F0 = FV[B0 + AI0 – PVCI]

F0 = (1 + 0.003)0.25(112.00 + 0.08 – 0) = 112.1640.

The adjusted price of the futures contract is equal to the conversion factor multiplied by the quoted futures price:

F0 = CF × Q0

F0 = (0.90)(125) = 112.50

Adding the accrued interest of 0.20 in three months (futures contract expiration) to the adjusted price of the futures contract gives a total price of 112.70.

This difference means that the futures contract is overpriced by 112.70 – 112.1640 = 0.5360. The available arbitrage profit is the present value of this difference: 0.5360/(1.003)0.25 = 0.5356.

中文解析:

本题考察的是长期国债期货的套利过程。

关于长期期货合约,注意Q0作为报价但不是成交的报价,F0 是成交的报价。

本题中,首先我们需要判断市场上的长期国债期货合约的报价是否合理。

根据公式F0 = FV[B0 + AI0 – PVCI] 计算出合理的报价为112.1640;而此时市场上期货合约可以成交的报价为F0 = CF × Q0 =112.50;

显然市场上的期货合约定价过高了,因此如果执行套利操作,需要short futures,对应的应该long 现货。

于是在T时刻,我们的套利空间为[F0 +AIT] - [(S0 +AI0 )(1+rf)T]=112.50+0.20 -112.1640=0.5360;

折现至0时刻,则套利产生的profit= 0.5360/(1.003)0.25 = 0.5356.


老师,这道题我这么做对么?感觉跟答案不太一样呢?


1 个答案

Lucky_品职助教 · 2022年04月23日

嗨,从没放弃的小努力你好:


同学你做的对呀,我计算出结果是一样的,答案是先在3时刻相减,再折现到0时刻,你是先折现到0时刻,再想减,殊途同归哦~

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

Darlene · 2024年07月03日

老师,我按上面同学的画图的做出来,答案也不对啊?

  • 1

    回答
  • 0

    关注
  • 468

    浏览
相关问题

NO.PZ202108100100000101 问题如下 nalTroubaur is a rivatives trar for Southern Shores Investments. The firm seeks arbitrage opportunities in the forwaranfutures markets using the carry arbitrage mol.Troubaur intifies arbitrage opportunity relating to a fixeincome futures contraanits unrlying bon Current ta on the futures contraanunrlying bonare presentein Exhibit 1. The current annucompounrisk-free rate is 0.30%.Troubaur next gathers information on a Japanese equity inx futures contract, the Nikkei 225 Futures Contract:Troubaur hol a long position in a Nikkei 225 futures contrathha remaining maturity of three months. The continuously compounvinyielon the Nikkei 225 StoInx is 1.1%, anthe current stoinx level is 16,080. The continuously compounannuinterest rate is 0.2996%.Troubaur next consirs equity forwarcontrafor TexSteel, In(TSI). Information regarng TSI common shares ana TSI equity forwarcontrais presentein Exhibit 2.Troubaur takes a short position in the TSI equity forwarcontract. His supervisor asks, “Unr whiscenario woulour position experiena loss?”Three months after contrainitiation, Troubaur gathers information on TSI anthe risk-free rate, whiis presentein Exhibit 3. Baseon Exhibit 1 anassuming annucompounng, the arbitrage profit on the bonfutures contrais closest to: A.0.4158. B.0.5356 C.0.6195 B is correct. The no-arbitrage futures priis equto the following:F0 = FV[+ AI0 – PVCI] F0 = (1 + 0.003)0.25(112.00 + 0.08 – 0) = 112.1640.The austepriof the futures contrais equto the conversion factor multipliethe quotefutures price:F0 = × Q0 F0 = (0.90)(125) = 112.50Aing the accrueinterest of 0.20 in three months (futures contraexpiration) to the austepriof the futures contragives a tot priof 112.70.This fferenmeans ththe futures contrais overprice112.70 – 112.1640 = 0.5360. The available arbitrage profit is the present value of this fference: 0.5360/(1.003)0.25 = 0.5356.中文解析本题考察的是长期国债期货的套利过程。关于长期期货合约,注意Q0作为报价但不是成交的报价,F0 是成交的报价。本题中,首先我们需要判断市场上的长期国债期货合约的报价是否合理。根据公式F0 = FV[+ AI0 – PVCI] 计算出合理的报价为112.1640;而此时市场上期货合约可以成交的报价为F0 = × Q0 =112.50;显然市场上的期货合约定价过高了,因此如果执行套利操作,需要short futures,对应的应该long 现货。于是在T时刻,我们的套利空间为[F0 +AIT] - [(S0 +AI0 )(1+rf)T]=112.50+0.20 -112.1640=0.5360;折现至0时刻,则套利产生的profit= 0.5360/(1.003)0.25 = 0.5356. 我是直接用QFP算的,结果选错了,想问下用FP计算的原理

2024-06-29 13:48 1 · 回答

NO.PZ202108100100000101 问题如下 Baseon Exhibit 1 anassuming annucompounng, the arbitrage profit on the bonfutures contrais closest to: A.0.4158. B.0.5356 C.0.6195 B is correct. The no-arbitrage futures priis equto the following:F0 = FV[+ AI0 – PVCI] F0 = (1 + 0.003)0.25(112.00 + 0.08 – 0) = 112.1640.The austepriof the futures contrais equto the conversion factor multipliethe quotefutures price:F0 = × Q0 F0 = (0.90)(125) = 112.50Aing the accrueinterest of 0.20 in three months (futures contraexpiration) to the austepriof the futures contragives a tot priof 112.70.This fferenmeans ththe futures contrais overprice112.70 – 112.1640 = 0.5360. The available arbitrage profit is the present value of this fference: 0.5360/(1.003)0.25 = 0.5356.中文解析本题考察的是长期国债期货的套利过程。关于长期期货合约,注意Q0作为报价但不是成交的报价,F0 是成交的报价。本题中,首先我们需要判断市场上的长期国债期货合约的报价是否合理。根据公式F0 = FV[+ AI0 – PVCI] 计算出合理的报价为112.1640;而此时市场上期货合约可以成交的报价为F0 = × Q0 =112.50;显然市场上的期货合约定价过高了,因此如果执行套利操作,需要short futures,对应的应该long 现货。于是在T时刻,我们的套利空间为[F0 +AIT] - [(S0 +AI0 )(1+rf)T]=112.50+0.20 -112.1640=0.5360;折现至0时刻,则套利产生的profit= 0.5360/(1.003)0.25 = 0.5356. 是不是再不确定的情况,只能试着做个一个FP和bon组合先,判断大小然后再做向上和向下箭头分析。

2024-05-12 17:33 1 · 回答

NO.PZ202108100100000101 问题如下 Baseon Exhibit 1 anassuming annucompounng, the arbitrage profit on the bonfutures contrais closest to: A.0.4158. B.0.5356 C.0.6195 B is correct. The no-arbitrage futures priis equto the following:F0 = FV[+ AI0 – PVCI] F0 = (1 + 0.003)0.25(112.00 + 0.08 – 0) = 112.1640.The austepriof the futures contrais equto the conversion factor multipliethe quotefutures price:F0 = × Q0 F0 = (0.90)(125) = 112.50Aing the accrueinterest of 0.20 in three months (futures contraexpiration) to the austepriof the futures contragives a tot priof 112.70.This fferenmeans ththe futures contrais overprice112.70 – 112.1640 = 0.5360. The available arbitrage profit is the present value of this fference: 0.5360/(1.003)0.25 = 0.5356.中文解析本题考察的是长期国债期货的套利过程。关于长期期货合约,注意Q0作为报价但不是成交的报价,F0 是成交的报价。本题中,首先我们需要判断市场上的长期国债期货合约的报价是否合理。根据公式F0 = FV[+ AI0 – PVCI] 计算出合理的报价为112.1640;而此时市场上期货合约可以成交的报价为F0 = × Q0 =112.50;显然市场上的期货合约定价过高了,因此如果执行套利操作,需要short futures,对应的应该long 现货。于是在T时刻,我们的套利空间为[F0 +AIT] - [(S0 +AI0 )(1+rf)T]=112.50+0.20 -112.1640=0.5360;折现至0时刻,则套利产生的profit= 0.5360/(1.003)0.25 = 0.5356. 如题

2024-04-17 20:21 1 · 回答

NO.PZ202108100100000101 问题如下 Baseon Exhibit 1 anassuming annucompounng, the arbitrage profit on the bonfutures contrais closest to: A.0.4158. B.0.5356 C.0.6195 B is correct. The no-arbitrage futures priis equto the following:F0 = FV[+ AI0 – PVCI] F0 = (1 + 0.003)0.25(112.00 + 0.08 – 0) = 112.1640.The austepriof the futures contrais equto the conversion factor multipliethe quotefutures price:F0 = × Q0 F0 = (0.90)(125) = 112.50Aing the accrueinterest of 0.20 in three months (futures contraexpiration) to the austepriof the futures contragives a tot priof 112.70.This fferenmeans ththe futures contrais overprice112.70 – 112.1640 = 0.5360. The available arbitrage profit is the present value of this fference: 0.5360/(1.003)0.25 = 0.5356.中文解析本题考察的是长期国债期货的套利过程。关于长期期货合约,注意Q0作为报价但不是成交的报价,F0 是成交的报价。本题中,首先我们需要判断市场上的长期国债期货合约的报价是否合理。根据公式F0 = FV[+ AI0 – PVCI] 计算出合理的报价为112.1640;而此时市场上期货合约可以成交的报价为F0 = × Q0 =112.50;显然市场上的期货合约定价过高了,因此如果执行套利操作,需要short futures,对应的应该long 现货。于是在T时刻,我们的套利空间为[F0 +AIT] - [(S0 +AI0 )(1+rf)T]=112.50+0.20 -112.1640=0.5360;折现至0时刻,则套利产生的profit= 0.5360/(1.003)0.25 = 0.5356. 我一开始是算出T时刻的套利空间112.7-112.164=0.536,发现没有答案所以就猜题目是要我们折现算0时刻的套利空间。我的疑问是,如何得知题目是在问0时刻还是T时刻的套利空间?

2023-02-22 00:38 1 · 回答