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shengjiban2004 · 2019年04月05日

问一道题:NO.PZ201812310200000105 第5小题

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问题如下图:为什么要乘以-2.75,不是正的2.75?

    

选项:

A.

B.

C.

解释:



1 个答案

吴昊_品职助教 · 2019年04月07日

每一步的信用转移,代表的都是利率变化1%,债券价格变化百分之多少。拿from AA to AAA为例,credit spread由0.9%降为0.6%,△y=0.6%-0.9%= -0.3%。△P= -Duration*△y,这里的负号代表利率的变化方向和价格的变化方向是相反的。代入,△P= -2.75*(0.6%-0.9%)=+0.825%

以此类推,其他列式均可得到。

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NO.PZ201812310200000105问题如下Bonwill have a mofieration of 2.75 the enof the year. Baseon the representative one-yecorporate transition matrix in Exhibit 7 of the reang anassuming no fault, how shoulthe analyst aust the bons yielto maturity (YTM) to assess the expectereturn on the bonover the next year?A 7.7 bps to YTM. Subtra7.7 bps from YTM. Subtra9.0 bps from YTM. B is correct. For eapossible transition, the expectepercentage prichange, computeas the proof the mofieration anthe change in the spreper Exhibit 7 of the reang, is calculateas follows: From to AAA: –2.75 × (0.60% – 0.90%) = +0.83% From to –2.75 × (1.10% – 0.90%) = –0.55% From to BBB: –2.75 × (1.50% – 0.90%) = –1.65% From to B–2.75 × (3.40% – 0.90%) = –6.88% From to –2.75 × (6.50% – 0.90%) = –15.40% From to –2.75 × (9.50% – 0.90%) = –23.65% The expected percentage change in the value of the ratebonis computemultiplying eaexpectepercentage prichange for a possible cret transition its respective transition probability given in Exhibit 7 of the reang, ansumming the procts: (0.0150 × 0.83%) + (0.8800 × 0%) + (0.0950 × –0.55%) + (0.0075 × –1.65%) + (0.0015 × –6.88%) + (0.0005 × –15.40%) + (0.0003 × –23.65%)= –0.0774%. Therefore, the expectereturn on the bonover the next yeis its YTM minus 0.0774%, assuming no fault. 可答案以bona 作为初始sprea 难道ration 对于不同评级的债券都是一样的?

2023-11-01 20:26 1 · 回答

NO.PZ201812310200000105 Subtra7.7 bps from YTM. Subtra9.0 bps from YTM. B is correct. For eapossible transition, the expectepercentage prichange, computethe proof the mofieration anthe change in the spreper Exhibit 7 of the reang, is calculatefollows: From to AA–2.75 × (0.60% – 0.90%) = +0.83% From to –2.75 × (1.10% – 0.90%) = –0.55% From to BB–2.75 × (1.50% – 0.90%) = –1.65% From to B–2.75 × (3.40% – 0.90%) = –6.88% From to –2.75 × (6.50% – 0.90%) = –15.40% From to –2.75 × (9.50% – 0.90%) = –23.65% The expectepercentage change in the value of the ratebonis computemultiplying eaexpectepercentage prichange for a possible cret transition its respective transition probability given in Exhibit 7 of the reang, ansumming the procts: (0.0150 × 0.83%) + (0.8800 × 0%) + (0.0950 × –0.55%) + (0.0075 × –1.65%) + (0.0015 × –6.88%) + (0.0005 × –15.40%) + (0.0003 × –23.65%)= –0.0774%. Therefore, the expectereturn on the bonover the next yeis its YTM minus 0.0774%, assuming no fault. 我理解算出来的答案是expectereturn of prichange,但它和调整YTM有什么关系?我转不过来了…

2022-03-04 23:12 1 · 回答

NO.PZ201812310200000105 Subtra7.7 bps from YTM. Subtra9.0 bps from YTM. B is correct. For eapossible transition, the expectepercentage prichange, computethe proof the mofieration anthe change in the spreper Exhibit 7 of the reang, is calculatefollows: From to AA–2.75 × (0.60% – 0.90%) = +0.83% From to –2.75 × (1.10% – 0.90%) = –0.55% From to BB–2.75 × (1.50% – 0.90%) = –1.65% From to B–2.75 × (3.40% – 0.90%) = –6.88% From to –2.75 × (6.50% – 0.90%) = –15.40% From to –2.75 × (9.50% – 0.90%) = –23.65% The expectepercentage change in the value of the ratebonis computemultiplying eaexpectepercentage prichange for a possible cret transition its respective transition probability given in Exhibit 7 of the reang, ansumming the procts: (0.0150 × 0.83%) + (0.8800 × 0%) + (0.0950 × –0.55%) + (0.0075 × –1.65%) + (0.0015 × –6.88%) + (0.0005 × –15.40%) + (0.0003 × –23.65%)= –0.0774%. Therefore, the expectereturn on the bonover the next yeis its YTM minus 0.0774%, assuming no fault. 0.015 0.095 0.0075……是怎么来的呢

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