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Louis · 2021年04月20日

请问怎么理解Real default-free债券价格

NO.PZ2015121810000027

问题如下:

The prices of one-period, real default-free government bonds are likely to be most sensitive to changes in:

选项:

A.

investors’ inflation expectations.

B.

the expected volatility of economic growth.

C.

the covariance between investors’ inter-temporal rates of substitution and the expected future prices of the bonds.

解释:

B is correct.

Only changes in default-free real interest rates will affect the price of real, default-free bonds. The average level of default-free real interest rates is positively related to the volatility of economic growth in the economy; thus, changes in the expected volatility of economic growth would likely lead to changes in real default-free real interest rates, which in turn would affect the prices of real, default-free government bonds.

考点:Discount Rate on Real Default-free Bonds

解析:排除法

A, real bonds不会受到通货膨胀的影响,nominal bonds才会。

B,volatility of economic growth影响分母l,即real default-free interest rate,所以B正确

C,one-period的债券价格不受covariance的影响,因为one-period default free bond的covariance=0。只有多期债券才会受covariance影响。

老师,请问如何准确理解Real default-free债券价格?公式是price = risk neutral PV + covariance. 请问如果Covariance是风险的折现,那这个公式不就变成风险资产了的定价了?“无风险 + 风险溢价”


另外,老师讲的real default interest rate不是仅仅补偿人的不耐情绪吗?请问当经济volatile的时候,到底是经济波动本身的风险导致折现率变高,还是人的情绪变化导致折现率变高?这里到底有没有风险的存在?谢谢

1 个答案
已采纳答案

星星_品职助教 · 2021年04月21日

同学你好,

这道题考察的是一期(one-period)的情况,不需要考虑cov,C选项可以直接排除,cov是多期的情况。

既然是多期,就有了风险,可以简单理解为“夜长梦多”或者期限风险。所以cov需要是负值,代表Prisky bond=Prisk free bond扣减风险补偿,这个公式是定性理解的,并不是定价公式。需要掌握的就是对于risk averse投资者,cov为负。考试基本只会涉及这一个结论。

本章的内容是各个折现率和经济之间的关系,并不需要考虑价格/定价。

-----

经济和利率的关系结论为The real interest rates are higher in an economy in which GDP growth is more volatile,即经济不稳定的地方利率更高。

只掌握这个结论就可以。

不需要考虑“经济波动本身的风险导致折现率变高,还是人的情绪变化导致”这些推导,推导不考察,逻辑也不是很好。考试只考最终结论。

课上讲的逻辑是从m的角度出发的,但不建议去看这个逻辑,没有什么用。从方便记忆的角度考虑,建议记忆的是经济波动大,所以需要利率补偿就高,这个结论是显然的。考试的时候直接根据结论做选择就可以了。

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