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Lich · 2024年11月12日

如题

NO.PZ2023091701000171

问题如下:

A performance analyst at an asset management firm is measuring the returns of individual positions in a fixed-income portfolio. Details regarding the performance of a specific bond over a recent 6-month period are as follows:
  • Purchase price on July 1: BRL 1,062,500
  • Coupon received on September 30: BRL 27,500
  • Coupon received on December 31: BRL 27,500
  • Closing price on December 31: BRL 1,048,200
  • Total financing cost from July 1 to December 31: 3.5%
  • Return on reinvested funds from September 30 to December 31: 3.0%
What was the net return earned on the bond over the period from July 1 through December 31, annualized using semi-annual compounding?

选项:


A.

-2.26%

B.0.82% C.3.91% D.7.82%

解释:

B is correct. The bond’s net return factors in its price change, coupons paid, and financing costs over the period; the sum of these is divided by the opening price.

The coupon received on September 30 must be grown at its reinvestment rate to determine its value as of December 31: 27,500 * (1 + 3.0%) = 28,325

Financing cost is: 1,062,500 * 3.5% = 37,187.50

Therefore, the net return from July 1 to December 31 is calculated as:

The annualized return with semi-annual compounding is 0.4082% 2 = 0.8165%.

A is incorrect. This is the non-annualized net return when the September 30 coupon is omitted from the calculation.

C is incorrect. This is the non-annualized gross return.

D is incorrect. This is the annualized gross return.

初始成本为什么没加上financing cost呢?请问老师谢谢

1 个答案
已采纳答案

李坏_品职助教 · 2024年11月12日

嗨,爱思考的PZer你好:


financing cost是在后面扣除的,这个不算初始成本。初始成本只是Purchase price。


net return = (最终售价 - 初始成本 + coupon2 + coupon1和再投资收益 - financing cost) / 初始成本

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