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wenxing · 2021年11月28日

问一道题:NO.PZ202106160100000104 第4小题 [ CFA II ]

* 问题详情,请 查看题干

问题如下:

Based on Exhibits 1, 2, and 3, the mark-to-market gain for Goldsworthy’s forward position is closest to:

选项:

A.

GBP 19,971.

B.

GBP 20,500.

C.

GBP 21,968.

解释:

A is correct.

Marking her nine-month contract to market six months later requires buying GBP/EUR three months forward. The GBP/EUR spot rate is 0.9467/0.9471, and the three-month forward points are 14.0/15.0. The three-month forward rate to use is 0.9471+ (15/10000) = 0.9486. Goldsworthy sold EUR 5,000,000 at 0.9526 and bought at 0.9486. The net cash flow at the settlement date will equal EUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = GBP 20,000. This cash flow will occur in three months, so we discount at the three-month GBP Libor rate of 58 bps:

GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.04

考点:Mark –to-Market Value

解析:计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。

投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.
现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。

注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求DEALER的卖价,即:

ASK:0.9471 + (15/10000) = 0.9486

投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = GBP 20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对GBP 20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到:

GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.04

如何判断是用bid还是ask?
2 个答案
已采纳答案

笛子_品职助教 · 2021年11月29日

嗨,爱思考的PZer你好:


如何判断是用bid还是ask?


forward合约用哪个价格,看具体时什么情况。



forward未到期,如果之前是卖出forward,现在需要买入forward进行反向对冲平仓,用ask价格。

forward未到期,如果之前是买入forward,现在需要卖出forward进行反向对冲平仓,用bid价格。


如果forward到期结算收益,既不用ask,也不用bid,用bid与ask的中间价。中间价 = (bid价 + ask价)/2

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🍑(o^^o)Fay 🙃 · 2022年08月17日

老师 根据乘小 除大的原则, 为什么不用 0.946+0.0014 ?

笛子_品职助教 · 2022年08月17日

嗨,爱思考的PZer你好:


根据乘小 除大的原则, 为什么不用 0.946+0.0014 ?

乘小除大是三角套汇。

本题是根据spot rate 计算forward rate。是两个不同领域的知识点,没有关联。

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NO.PZ202106160100000104 问题如下 Baseon Exhibits 1, 2, an3, the mark-to-market gain for Golworthy’s forwarposition is closest to: A.G19,971. B.G20,500. C.G21,968. A is correct.Marking her nine-month contrato market six months later requires buying GBP/EUR three months forwar The GBP/EUR spot rate is 0.9467/0.9471, anthe three-month forwarpoints are 14.0/15.0. The three-month forwarrate to use is 0.9471+ (15/10000) = 0.9486. Golworthy solEUR 5,000,000 0.9526 anbought 0.9486. The net cash flow the settlement te will equEUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. This cash flow will occur in three months, so we scount the three-month GLibor rate of 58 bps:GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04考点Mark –to-Market Value解析计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求ALER的卖价,即ASK:0.9471 + (15/10000) = 0.9486投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对G20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04 按照公式,不是 汇率的买卖,不是乘小除大么?

2024-07-14 00:39 1 · 回答

NO.PZ202106160100000104问题如下 Baseon Exhibits 1, 2, an3, the mark-to-market gain for Golworthy’s forwarposition is closest to: A.G19,971.B.G20,500.C.G21,968. A is correct.Marking her nine-month contrato market six months later requires buying GBP/EUR three months forwar The GBP/EUR spot rate is 0.9467/0.9471, anthe three-month forwarpoints are 14.0/15.0. The three-month forwarrate to use is 0.9471+ (15/10000) = 0.9486. Golworthy solEUR 5,000,000 0.9526 anbought 0.9486. The net cash flow the settlement te will equEUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. This cash flow will occur in three months, so we scount the three-month GLibor rate of 58 bps:GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04考点Mark –to-Market Value解析计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求ALER的卖价,即ASK:0.9471 + (15/10000) = 0.9486投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对G20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04 这个不是反向forwar,为什么不用中间价来计算,而要用ask price

2024-05-01 15:06 1 · 回答

NO.PZ202106160100000104 问题如下 Baseon Exhibits 1, 2, an3, the mark-to-market gain for Golworthy’s forwarposition is closest to: A.G19,971. B.G20,500. C.G21,968. A is correct.Marking her nine-month contrato market six months later requires buying GBP/EUR three months forwar The GBP/EUR spot rate is 0.9467/0.9471, anthe three-month forwarpoints are 14.0/15.0. The three-month forwarrate to use is 0.9471+ (15/10000) = 0.9486. Golworthy solEUR 5,000,000 0.9526 anbought 0.9486. The net cash flow the settlement te will equEUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. This cash flow will occur in three months, so we scount the three-month GLibor rate of 58 bps:GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04考点Mark –to-Market Value解析计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求ALER的卖价,即ASK:0.9471 + (15/10000) = 0.9486投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对G20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04 我的理解是3个月后G会收到一笔EUR并且想换成GBP所以6个月前才签立了9个月forwar那现在再买3个月forwar向对冲的话,之后收到的这笔EUR不就没有对冲掉,违反了初衷,并且也没有计算这部分损益

2024-03-06 10:45 1 · 回答

NO.PZ202106160100000104 问题如下 Baseon Exhibits 1, 2, an3, the mark-to-market gain for Golworthy’s forwarposition is closest to: A.G19,971. B.G20,500. C.G21,968. A is correct.Marking her nine-month contrato market six months later requires buying GBP/EUR three months forwar The GBP/EUR spot rate is 0.9467/0.9471, anthe three-month forwarpoints are 14.0/15.0. The three-month forwarrate to use is 0.9471+ (15/10000) = 0.9486. Golworthy solEUR 5,000,000 0.9526 anbought 0.9486. The net cash flow the settlement te will equEUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. This cash flow will occur in three months, so we scount the three-month GLibor rate of 58 bps:GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04考点Mark –to-Market Value解析计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求ALER的卖价,即ASK:0.9471 + (15/10000) = 0.9486投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对G20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04 rt,是不是所有利率给出来都是年华的

2023-11-13 17:37 1 · 回答

NO.PZ202106160100000104 问题如下 Baseon Exhibits 1, 2, an3, the mark-to-market gain for Golworthy’s forwarposition is closest to: A.G19,971. B.G20,500. C.G21,968. A is correct.Marking her nine-month contrato market six months later requires buying GBP/EUR three months forwar The GBP/EUR spot rate is 0.9467/0.9471, anthe three-month forwarpoints are 14.0/15.0. The three-month forwarrate to use is 0.9471+ (15/10000) = 0.9486. Golworthy solEUR 5,000,000 0.9526 anbought 0.9486. The net cash flow the settlement te will equEUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. This cash flow will occur in three months, so we scount the three-month GLibor rate of 58 bps:GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04考点Mark –to-Market Value解析计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求ALER的卖价,即ASK:0.9471 + (15/10000) = 0.9486投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对G20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04 投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000.老师,这里2000的单位怎么判定是EUR还是GBP,可以帮我捋一下逻辑吗?

2023-11-07 09:50 1 · 回答