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AJI · 2023年10月19日

Implied g

NO.PZ2023032701000025

问题如下:

A mid-sized US company in the utilities sector with a required rate of return of 10%. Peters and her team believe that because of a recent restructuring, the company is unlikely to pay dividends for the next three years. However, the team expects XYZ to pay an annual dividend of US$1.72 per share beginning four years from now. Thereafter, the dividend is expected to grow indefinitely at 4% even though the current price implies a growth rate of 6% during this same period.

If the team uses the dividend discount model, the current intrinsic value of Company XYZ stock would be closest to:

选项:

A.

US$19.58

B.

US$20.36

C.

US$21.54

解释:

The current value of XYZ stock would be calculated as follows:

V0 = [P3/(1 + r)3], where P3 = D4/(r – g).

Given D4 = 1.72, r = 10%, and g = 4%,

V0 = [1.72/(0.10 – 0.04)]/(1.10)3 = US$21.54.

请问条件“Implied g 6%”对解题是不是无用的呢?

1 个答案

王园圆_品职助教 · 2023年10月19日

同学你好,是的,因为“current price implies a growth rate of 6% during this same period.:”这句话的意思是6%是对应的现在股票价格的增长率

而我们要求的是股票的价值而非价格,所以不应该用价格相关的增长率