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sunnytracecfa · 2023年11月10日

这个答案的公式怎么看不懂,和课件的不一样啊,下图左边是课件,右边是答案。按照课件算出来的结果和答案算出来的不一样

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NO.PZ201512020800000101

问题如下:

1. Based upon Exhibit 1, the forward premium (discount) for a 360-day INR/GBP forward contract is closest to:

选项:

A.

–1.546.

B.

1.546

C.

1.576

解释:

C is correct.

The equation to calculate the forward premium (discount) is:

Ff/dSfld=Sf/d([Actual360]1+id[Actual360])(ifid)F_{f/d}-S_{fld}=S_{f/d}(\frac{\lbrack{\displaystyle\frac{Actual}{360}}\rbrack}{1+i_d\lbrack{\displaystyle\frac{Actual}{360}}\rbrack})(i_f-i_d)

Sf/dS_{f/d} is the spot rate with GBP the base currency or d, and INR the foreign currency or <em>f</em>.Sf/df.S_{f/d} per Exhibit 1 is 79.5093, i f is equal to 7.52% and i d is equal to 5.43%.

With GBP as the base currency (i.e. the “domestic” currency) in the INR/GBP quote, substituting in the relevant base currency values from Exhibit 1 yields the following:

Ff/dSf/d=79.5093([360360]1+0.0543[360360])(0.07520.0543)F_{f/d}-S_{f/d}=79.5093(\frac{\lbrack{\displaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\displaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)

Ff/dSf/d=79.5093(11.0543)(0.07520.0543)F_{f/d}-S_{f/d}=79.5093(\frac1{1.0543})(0.0752-0.0543)

Ff/dSf/d=1.576F_{f/d}-S_{f/d}=1.576

考点 : 利率平价公式的计算.

解析 : Covered IRP:

Ff/dSfld=Sf/d([Actual360]1+id[Actual360])(ifid)F_{f/d}-S_{fld}=S_{f/d}(\frac{\lbrack{\displaystyle\frac{Actual}{360}}\rbrack}{1+i_d\lbrack{\displaystyle\frac{Actual}{360}}\rbrack})(i_f-i_d)

其中,GBP代表的是本币,而INR代表的是外币,于是直接代入数字到上述公式中可得:

Ff/dSf/d=79.5093([360360]1+0.0543[360360])(0.07520.0543)F_{f/d}-S_{f/d}=79.5093(\frac{\lbrack{\displaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\displaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)

Ff/dSf/d=79.5093(11.0543)(0.07520.0543)F_{f/d}-S_{f/d}=79.5093(\frac1{1.0543})(0.0752-0.0543)

Ff/dSf/d=1.576F_{f/d}-S_{f/d}=1.576


这个答案的公式怎么看不懂,和课件的不一样啊,下图左边是课件,右边是答案。按照课件算出来的结果和答案算出来的不一样



1 个答案

笛子_品职助教 · 2023年11月10日

嗨,爱思考的PZer你好:


Hello,亲爱的同学~


这两个公式,是不一样的哦。

就是有计算差异的。

一个是精确公式,一个是近似公式。


近似公式很方便理解:F 和S的升贴水,等于利差。

也就是说,在利差上赚的钱,要在升贴水中亏出去,最终不赚不亏,这才是均衡。


我们考试的时候,是选择题,这两个公式都可以用,选一个最接近的答案就可以。

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努力的时光都是限量版,加油!

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NO.PZ201512020800000101 问题如下 1. Baseupon Exhibit 1, the forwarpremium (scount) for a 360-y INR/Gforwarcontrais closest to: A.–1.546. B.1.546 C.1.576 C is correct.The equation to calculate the forwarpremium (scount) is:Ff/SflSf/[Actual360]1+iActual360])(if−iF_{f/-S_{fl=S_{f/(\frac{\lbrack{\splaystyle\frac{Actual}{360}}\rbrack}{1+i_lbrack{\splaystyle\frac{Actual}{360}}\rbrack})(i_f-i_Ff/−Sfl=Sf/(1+i[360Actual​][360Actual​]​)(if​−i)Sf/_{f/Sf/ is the spot rate with Gthe base currenor anINR the foreign currenor em f /em .Sf/em f /em .S_{f/ em f /em .Sf/ per Exhibit 1 is 79.5093, i f is equto 7.52% ani is equto 5.43%.With Gthe base curren(i.e. the “mesticurrency) in the INR/Gquote, substituting in the relevant base currenvalues from Exhibit 1 yiel the following:Ff/Sf/79.5093([360360]1+0.0543[360360])(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac{\lbrack{\splaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\splaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)Ff/−Sf/=79.5093(1+0.0543[360360​][360360​]​)(0.0752−0.0543)Ff/Sf/79.5093(11.0543)(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac1{1.0543})(0.0752-0.0543)Ff/−Sf/=79.5093(1.05431​)(0.0752−0.0543)Ff/Sf/1.576F_{f/-S_{f/=1.576Ff/−Sf/=1.576考点 利率平价公式的计算.解析 CovereIRP:Ff/SflSf/[Actual360]1+iActual360])(if−iF_{f/-S_{fl=S_{f/(\frac{\lbrack{\splaystyle\frac{Actual}{360}}\rbrack}{1+i_lbrack{\splaystyle\frac{Actual}{360}}\rbrack})(i_f-i_Ff/−Sfl=Sf/(1+i[360Actual​][360Actual​]​)(if​−i)其中,GBP代表的是本币,而INR代表的是外币,于是直接代入数字到上述公式中可得Ff/Sf/79.5093([360360]1+0.0543[360360])(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac{\lbrack{\splaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\splaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)Ff/−Sf/=79.5093(1+0.0543[360360​][360360​]​)(0.0752−0.0543)Ff/Sf/79.5093(11.0543)(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac1{1.0543})(0.0752-0.0543)Ff/−Sf/=79.5093(1.05431​)(0.0752−0.0543)Ff/Sf/1.576F_{f/-S_{f/=1.576Ff/−Sf/=1.576 Using the cru oil futures prices in Exhibit 1, who woulmost likelyaccount for the lowest roll return until March?C airline heing fuel costs The QA Energy Commoties Fun. A cru oil procer heing proctionA cru oil procer woulshort futures to hee the risk of future falling prices. For example, falling prices woulcrease future sales anincome. Cru oil futures are in backwartion, causing successive futures contracts to sollower prices ancausing roll yielto negative.Introction to Commoties anCommoty r没懂,什么意思,老师讲解下

2024-10-22 03:30 1 · 回答

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2024-10-22 03:24 1 · 回答

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2024-10-21 21:45 1 · 回答

NO.PZ201512020800000101 问题如下 1. Baseupon Exhibit 1, the forwarpremium (scount) for a 360-y INR/Gforwarcontrais closest to: A.–1.546. B.1.546 C.1.576 C is correct.The equation to calculate the forwarpremium (scount) is:Ff/SflSf/[Actual360]1+iActual360])(if−iF_{f/-S_{fl=S_{f/(\frac{\lbrack{\splaystyle\frac{Actual}{360}}\rbrack}{1+i_lbrack{\splaystyle\frac{Actual}{360}}\rbrack})(i_f-i_Ff/−Sfl=Sf/(1+i[360Actual​][360Actual​]​)(if​−i)Sf/_{f/Sf/ is the spot rate with Gthe base currenor anINR the foreign currenor em f /em .Sf/em f /em .S_{f/ em f /em .Sf/ per Exhibit 1 is 79.5093, i f is equto 7.52% ani is equto 5.43%.With Gthe base curren(i.e. the “mesticurrency) in the INR/Gquote, substituting in the relevant base currenvalues from Exhibit 1 yiel the following:Ff/Sf/79.5093([360360]1+0.0543[360360])(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac{\lbrack{\splaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\splaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)Ff/−Sf/=79.5093(1+0.0543[360360​][360360​]​)(0.0752−0.0543)Ff/Sf/79.5093(11.0543)(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac1{1.0543})(0.0752-0.0543)Ff/−Sf/=79.5093(1.05431​)(0.0752−0.0543)Ff/Sf/1.576F_{f/-S_{f/=1.576Ff/−Sf/=1.576考点 利率平价公式的计算.解析 CovereIRP:Ff/SflSf/[Actual360]1+iActual360])(if−iF_{f/-S_{fl=S_{f/(\frac{\lbrack{\splaystyle\frac{Actual}{360}}\rbrack}{1+i_lbrack{\splaystyle\frac{Actual}{360}}\rbrack})(i_f-i_Ff/−Sfl=Sf/(1+i[360Actual​][360Actual​]​)(if​−i)其中,GBP代表的是本币,而INR代表的是外币,于是直接代入数字到上述公式中可得Ff/Sf/79.5093([360360]1+0.0543[360360])(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac{\lbrack{\splaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\splaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)Ff/−Sf/=79.5093(1+0.0543[360360​][360360​]​)(0.0752−0.0543)Ff/Sf/79.5093(11.0543)(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac1{1.0543})(0.0752-0.0543)Ff/−Sf/=79.5093(1.05431​)(0.0752−0.0543)Ff/Sf/1.576F_{f/-S_{f/=1.576Ff/−Sf/=1.576 Whiof the following woulMesser most likely conclu from the implievolatility ta in Exhibit 2 if he exclus the effects of moneyness antime to expiration? B Using out-of-the-money options to establish either long or short positions is more expensive thusing at-the-money options.B.Using out-of-the-money options to hee is more expensive thestablishing a long position with out-of-the-money options.C.Using out-of-the-money options to establish a long position is more expensive thestablishing a short position using out-of-the-money options.Implievolatility is higher for lower strike prices thfor higher strike prices; therefore, out-of-the-money put options will generally more expensive thout-of-the-money call options. Implievolatilities of options with lower strike prices are higher ththose with higher strike prices. 老师讲解下,没有懂

2024-10-21 21:28 1 · 回答

NO.PZ201512020800000101 问题如下 1. Baseupon Exhibit 1, the forwarpremium (scount) for a 360-y INR/Gforwarcontrais closest to: A.–1.546. B.1.546 C.1.576 C is correct.The equation to calculate the forwarpremium (scount) is:Ff/SflSf/[Actual360]1+iActual360])(if−iF_{f/-S_{fl=S_{f/(\frac{\lbrack{\splaystyle\frac{Actual}{360}}\rbrack}{1+i_lbrack{\splaystyle\frac{Actual}{360}}\rbrack})(i_f-i_Ff/−Sfl=Sf/(1+i[360Actual​][360Actual​]​)(if​−i)Sf/_{f/Sf/ is the spot rate with Gthe base currenor anINR the foreign currenor em f /em .Sf/em f /em .S_{f/ em f /em .Sf/ per Exhibit 1 is 79.5093, i f is equto 7.52% ani is equto 5.43%.With Gthe base curren(i.e. the “mesticurrency) in the INR/Gquote, substituting in the relevant base currenvalues from Exhibit 1 yiel the following:Ff/Sf/79.5093([360360]1+0.0543[360360])(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac{\lbrack{\splaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\splaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)Ff/−Sf/=79.5093(1+0.0543[360360​][360360​]​)(0.0752−0.0543)Ff/Sf/79.5093(11.0543)(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac1{1.0543})(0.0752-0.0543)Ff/−Sf/=79.5093(1.05431​)(0.0752−0.0543)Ff/Sf/1.576F_{f/-S_{f/=1.576Ff/−Sf/=1.576考点 利率平价公式的计算.解析 CovereIRP:Ff/SflSf/[Actual360]1+iActual360])(if−iF_{f/-S_{fl=S_{f/(\frac{\lbrack{\splaystyle\frac{Actual}{360}}\rbrack}{1+i_lbrack{\splaystyle\frac{Actual}{360}}\rbrack})(i_f-i_Ff/−Sfl=Sf/(1+i[360Actual​][360Actual​]​)(if​−i)其中,GBP代表的是本币,而INR代表的是外币,于是直接代入数字到上述公式中可得Ff/Sf/79.5093([360360]1+0.0543[360360])(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac{\lbrack{\splaystyle\frac{360}{360}}\rbrack}{1+0.0543\lbrack{\splaystyle\frac{360}{360}}\rbrack})(0.0752-0.0543)Ff/−Sf/=79.5093(1+0.0543[360360​][360360​]​)(0.0752−0.0543)Ff/Sf/79.5093(11.0543)(0.0752−0.0543)F_{f/-S_{f/=79.5093(\frac1{1.0543})(0.0752-0.0543)Ff/−Sf/=79.5093(1.05431​)(0.0752−0.0543)Ff/Sf/1.576F_{f/-S_{f/=1.576Ff/−Sf/=1.576 For a non-vinpaying stock, American-style call option’s value ccalculatebaseon the present value of expectefuture cash flows because American-style call options anEuropean-style call options cscribeaninterpretesimilarly anbecause the no-arbitrage approaapplies to each.” Laurens’s statement about the no-arbitrage approais correin its referento both European-style options anAmerican-style options. Unr the binomimols, option’s value is equto the present value of expectefuture payoffs unr a risk neutrprobability with the scount factor being the risk free interest rate. The multiperiobinomimol approaches equivalento the BSM mol the time steps shorten (i.e., a large number of short anequtime steps)老师这个知识点再讲解下

2024-10-21 20:27 1 · 回答