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英俊 · 2024年11月02日

DR的理解

NO.PZ2023052301000037

问题如下:

Explain why a money market discount rate greater than zero understates the rate of return to an investor and understates the cost of borrowed funds for the issuer.

解释:

For a money market instrument, the discount rate is calculated as

The denominator for the second term is FV, not PV. In theory, an interest rate is the amount earned divided by the investment amount (PV), not the maturity value (FV), which includes the earnings. So long as DR is greater than zero, FV will be higher than PV. Therefore, by design, a money market discount rate understates the rate of return to the investor, and it understates the cost of borrowed funds to the issuer.

为什么FV>PV能推出understate呢

1 个答案

笛子_品职助教 · 2024年11月02日

嗨,从没放弃的小努力你好:


为什么FV>PV能推出understate呢

Hello,亲爱的同学~

例如:FV =100元,PV =98元。

折价率是2%。

计算公式为:(FV - PV)/FV = (100-98)/100 =2%。


而投资收益率,是基于投资成本来计算的,投资成本就是投入了98元。

投入98元,赚2元。

投资收益率 = (100-98)/98 = 2.04%。


我们看到,折价率2%<投资收益率2.04%。

即:债券折价发行,如果用折价率来估算投资收益率,会低估(understate)投资收益率。


以上内容,同学只要有任何不理解的地方,都是可以随时继续追问的。

祝学习顺利,逢考必过~

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