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Azuremiss · 2023年05月23日

No.PZ2022061307000084 (选择题)

NO.PZ2022061307000084

问题如下:

Question
  • Par value per share: $10

  • Annual dividend per share: $2

  • Maturity: 15 years

An investor’s required rate of return is 8%, and the current market price per share of the preferred stock is $25. By comparing the estimated intrinsic value with the market price of the preferred stock, the most likely conclusion is that the preferred stock is:

A company has issued non-callable, non-convertible preferred stock with the following features:

选项:

A.fairly valued at $25.00. B.overvalued by $4.73. C.undervalued by $15.00.

解释:

Solution

B is correct. Using a financial calculator to find the present value (PV) of the future cash flows, intrinsic value is thus: FV = $10; n = 15; PMT = $2; r = 8%. Compute PV = $20.27.

The preferred stock is overvalued by $4.73 (Market price of $25 – Estimated value of $20.27).

A is incorrect. It ignores the maturity information and treats it as a perpetual preferred stock.

V0 = D0/r = $2/0.08 = $25

C is incorrect. It ignores the time value of money and simply sums up the total of dividends and the par value.

V0 = (Annual dividend per share × Maturity) + Par Value = (2 × 15) + 10

= 40

Thus, the preferred stock appears to be undervalued by $15.00 (Market price of $25 – Estimated value of $40).

所以在这里计算优先股的市场价格是将优先股视作了固定收益债券?

2 个答案

王园圆_品职助教 · 2023年05月23日

同学你好,非常抱歉,这里是助教没有仔细读题,对你造成困扰了

本题确实像你说的,优先股就是一个变相的债券,计算value就用债券计算price的公式即可,而不能用讲义给的公式计算value

只有优先股没有到期日,没有到期价值的时候才能使用讲义截图公式

Azuremiss · 2023年05月23日

明白了~谢谢

王园圆_品职助教 · 2023年05月23日

是的同学,这里的计算类似固收,但是债券有到期日和到期偿还本金的规定,优先股没有。优先股这里的估值是遵循的优先股自己的估值模型,更类似于金边债券和永续年金的概念

Azuremiss · 2023年05月23日

刚才的提问有点错误,既然要比较优先股的市场价格与内在价值,那么为什么不直接使用图中的公式计算?直接是2除以8%?

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NO.PZ2022061307000084问题如下QuestionPvalue per share: $10Annuvinper share: $2Maturity: 15 yearsinvestor’s requirerate of return is 8%, anthe current market priper share of the preferrestois $25. comparing the estimateintrinsic value with the market priof the preferrestock, the most likely conclusion is ththe preferrestois:A company hissuenon-callable, non-convertible preferrestowith the following features:A.fairly value$25.00.B.overvalue$4.73.C.unrvalue$15.00.SolutionB is correct. Using a financicalculator to finthe present value (PV) of the future cash flows, intrinsic value is thus: FV = $10; n = 15; PMT = $2; r = 8%. Compute PV = $20.27.The preferrestois overvalue$4.73 (Market priof $25 – Estimatevalue of $20.27).A is incorrect. It ignores the maturity information antreats it a perpetupreferrestock.V0 = /r = $2/0.08 = $25C is incorrect. It ignores the time value of money ansimply sums up the totof vin anthe pvalue.V0 = (Annuvinper share × Maturity) + PValue = (2 × 15) + 10 = 40Thus, the preferrestoappears to unrvalue$15.00 (Market priof $25 – Estimatevalue of $40).为什么不是用r算优先股的价格?

2024-01-12 17:02 1 · 回答

NO.PZ2022061307000084 问题如下 QuestionPvalue per share: $10Annuvinper share: $2Maturity: 15 yearsinvestor’s requirerate of return is 8%, anthe current market priper share of the preferrestois $25. comparing the estimateintrinsic value with the market priof the preferrestock, the most likely conclusion is ththe preferrestois:A company hissuenon-callable, non-convertible preferrestowith the following features: A.fairly value$25.00. B.overvalue$4.73. C.unrvalue$15.00. SolutionB is correct. Using a financicalculator to finthe present value (PV) of the future cash flows, intrinsic value is thus: FV = $10; n = 15; PMT = $2; r = 8%. Compute PV = $20.27.The preferrestois overvalue$4.73 (Market priof $25 – Estimatevalue of $20.27).A is incorrect. It ignores the maturity information antreats it a perpetupreferrestock.V0 = /r = $2/0.08 = $25C is incorrect. It ignores the time value of money ansimply sums up the totof vin anthe pvalue.V0 = (Annuvinper share × Maturity) + PValue = (2 × 15) + 10 = 40Thus, the preferrestoappears to unrvalue$15.00 (Market priof $25 – Estimatevalue of $40). 他提到Market value 是25,应该也是fair value 吧

2022-12-16 11:50 1 · 回答