这道题何老师说思路就是先找到hedge情况下最好的那个国家的债券,比如A国,然后再算A国的hedge和不hedge两种情况看哪个收益率大,再选择是否hedge
那么想门下,如果B国hedge情况下收益率比A国来的低,已经被排除了,但是B国unhedge的情况收益率极高,是不是按照老师讲的思路就发现不了这个高收益的途径了
问题如下图:
选项:
A.
B.
C.
解释:
发亮_品职助教 · 2019年12月24日
"我是想说的,hedge 以后没有汇率的影响来比较得到的最高收益,不能保证就比其他国不hedge得到的收益来的高啊,比如这国本国贬值超级厉害的情况"
我觉得存在这种情况,就是预期汇率带来的收益更大。但如果考虑这个情况,选起来就更复杂了,这也不是我们考试会碰到的题型。
我们原版书关于这块的讨论,就是先在一堆国家的债券里找收益最高的,然后在就每个Portfolio来决定是否Hedge。
比如像本题,就是让在3国的5年期债券里选债券,然后在各自Portfolio里决定是否Hedge。至于提问里说到的情况,咱们教材也没有讨论,所以我们是不会碰见的。碰到这种题直接用老师课上说的两步就可以了。
发亮_品职助教 · 2019年12月21日
嗨,爱思考的PZer你好:
不会存在这个问题的。也就是选Hedge成Common currency选债券、再对各自的Portfolio选择Hedge与否,不会出现漏掉某种高收益可能性的。
这种题目有两步:
第一步:将所有的债券收益,Hedge成一个Common currency,Common currency可以是任意货币;这一步的目的是统一大家的标准,方便比较、从而选出收益率最高的债券。无论Hedge成哪种货币,都不会影响到债券收益排序。
所以标准统一后,选出来的收益最高的债券,就是最好的债券,不可能存在比他收益更好的债券,参考下图原版书:
第二步:因为各自的Portfolio计价的货币(Base currency)和投资的债券货币不一致,对于每个Portfolio而言,需要在投资期结束时,将Greek债券的EUR收益,换算成Portfolio的本币。
这时候就牵扯到转换收益的问题了,是Hedge or unhedge转换,比较的方法是:利用Forward将Greek债券的EUR收益Hedge成本币,还是期末利用预期汇率换。
所以经过这两步,每个Portfolio都是选择了最优的海外债券、并且用最佳的方式换回本国收益。最终就是最优的策略。
-------------------------------努力的时光都是限量版,加油!
SUN · 2019年12月21日
第一步您引的原版书的话的意思应该是说,统一货币以后比较收益率,不会受到原则的货币的影响,是这个层面的不影响。我是想说的,hedge 以后没有汇率的影响来比较得到的最高收益,不能保证就比其他国不hedge得到的收益来的高啊,比如这国本国贬值超级厉害的情况
NO.PZ201902210100000105 老师,为什么计算半年的收益率?
NO.PZ201902210100000105 就这道题我反反复复听了何老师讲的和有问必答您的,但是有两个问题一直没搞明白 1.希腊债券半年的收益率直接用5.7%除以2,背后的逻辑是因为收益率曲线stable还是因为这些债券都是平价发行?有这个困惑是因为看书后的答案和您的都了半天coupon和4年跟5年之间收益率差别不大的问题。 2.为什么希腊债券半年的收益率可以直接用5.7%除以2,而墨西哥债券半年的收益率不能用改变后的7%直接除以2来计算。何老师视频里面也只是说了一句因为墨西哥债券收益率改变了,所以就要算现金流倒推收益率,也没说明白背后的具体逻辑是什么?
buying the Greek 5-yein eaof the portfolios, heing the currenin the GBP-baseportfolio, anleaving the currenunheein the llar-baseportfolio. buying the Greek 5-yein the Euro-nominateportfolio, buying the Mexic5-yein the GanUSnominateportfolios, anleaving the currenunheein eacase. B is correct. Winston shoulbuy the Greek 5-yebonfor eaportfolio. In the US llportfolio, she shoulleave the currenunhee accepting the exposure to the Euro, whiis projecteto appreciate 1% against the US In the UK portfolio, she shoulhee the bons EUR exposure into GBP. In the Euro-baseportfolio there is no heing cision to ma because the Greek bonis nominatein EUR. Because yiel are projecteto remain unchangein the US, UK, Euro, anGreek markets, the 5-yeGreek bon will still pricepin six months anthe US, UK, anEuro bon will realize a negligible priappreciation when they have 4.5 years to maturity. Hence, the locmarket return for eaof these bon will equhalf of the coupon: 0.975%, 0.55%, 0.30%, an2.85%, respectively. The Mexic5-yewill priceto yiel7.0% the enof the perio Its priwill ∑ t=1 9 7.25 2 (1+ 0.07 2 ) t + 100 (1+ 0.07 2 ) 9 =100.9501 Its locmarket return is therefore 4.576% = (100.9501 + 7.25/2)/100. covereinterest parity, the cost of heing a boninto a particulcurrenis the short-term (six months here) rate for the curreninto whithe bonis heeminus the short-term rate for the currenin whithe bonis nominate For heing US, UK, anMexicbon into Euros for six months the calculation is: USinto EUR: (0.15% – 1.40%)/2 = –0.625% Ginto EUR: (0.15% –0.50%)/2 = –0.175% MXN into EUR: (0.15% – 7.10%)/2 = –3.475% (Note tha negative number is a cost while a positive number woula benefit.) Combining these heing costs with eabons locmarket return, the returns heeinto EUR, whicnow valiy compare are: US: 0.975% + (–0.625%) = 0.350% UK: 0.550% + (–0.175%) = 0.375% MX: 4.576% + (–3.475%) = 1.101% GR: 2.850% + 0 = 2.850% EU: 0.300% + 0 = 0.300% The Greek bonis fthe most attractive investment. This woulstill true if returns were heeinto USor GBP. So, the Greek 5-yeshoulpurchasefor eaportfolio. Whether or not to actually hee the currenexposure pen on if the cost/benefit of heing is greater ththe projectechange in the spot exchange rate. For the llar-nominateportfolio, heing the Greek boninto USwoul\"piup\" 0.625% (the opposite of heing USinto EUR). But EUR is expecteto appreciate 1.0% against the llar, so it is better to leave the bonunheein the USnominateportfolio. Heing EUR into Gpicks up 0.175% of return. SinEUR is projecteto remain unchangeagainst GBP, it is better (from expectereturn perspective) to hee the Greek boninto GBP. A is incorrebecause it cseen from the explanation for B above ththe Greek 5-yebonis fthe most attractive investment, returning 2.85% compareto the Mexic5-yebons return of 1.101%. If the returns for these bon were heeinto USor G(insteof EUR), in eacase the return on the Mexic5-yebonwoulstill inferior to thof the Greek 5-yebon C is incorrebecause it cseen from the explanation for B above ththe Greek 5-yebonis fthe most attractive investment, returning 2.85% compareto the Mexic5-yebons return of 1.101%. If the returns for these bon were heeinto USor G(insteof EUR), in eacase the return on the Mexic5-yebonwoulstill inferior to thof the Greek 5-yebon Moreover, over the 6-month investment horizon the MexicPeso is expecteto preciate against both the GanUS further impairing the unheereturns on the Mexic5-yebonin GanUSterms. 请问Limiteto unhee or hegng into是什么意思……
NO.PZ201902210100000105 这题Mexic5-yeprice怎么算出的100.9501?? 我算的是30.9988 + 73.373, 哪里错了?
NO.PZ201902210100000105 base curren和nominatecurrency的意思是base currency是基础货币,nominatecurrency是所买的外国债券吗 怎么讲nominatecurrenhee成可比较的,这道题完全不明白