- CFA Exams
- CFA Level I Exam
- Topic 5. Equity Investments
- Learning Module 8. Equity Valuation: Concepts and Basic Tools
- Subject 3. Present Value Models: The Dividend Discount Model
CFA Practice Question
The preferred stock of the Wordsworth Institute pays a constant annual dividend of $3.00 and sells for $20.00. You believe the stock will sell for $12.00 in one year. You must, therefore, believe that the required return on the stock will be which of the following percentage points (lower/higher) in one year?
B. It will be 8.0% higher.
C. It will be 10.0% higher.
A. It will be 8.0% lower.
B. It will be 8.0% higher.
C. It will be 10.0% higher.
Correct Answer: C
User Contributed Comments 14
User | Comment |
---|---|
cgeek | how to get this answer? why $20 for this year and $12 in one year |
jamiejamie | first, solve for k at time t0 = 15% then, solve for k at time t1 = 25% you get these values using the preferred stock value (preferred stock value = dividend/k) then, you know that there is an INCREASE of 10% (25%-15%) Intuitively, you know that if you get the same dividend for a cheaper security price, then your K must have risen. |
stefdunk | the 10% increase is not in the value of the stock, but in the rate of return you expect. You want a higher payout, so the value of the share will drop (preferred stocks and bonds: value drops if payout % rises) |
katybo | D/K = 3/0.25 = 12 -> 0.25-0.15 = 10% |
haarlemmer | Sine the dividend is constant, the answer is then (3/12)-(3/20)=10% |
Done | think about it like it was a bond. since the price went down the yield should go up. That eliminates A and D, then do the math |
faya | If 3/k=20 => k=15%; If 3/k=12 => k=25%. Therefore, to get 3/k=12, you need to increase k by 10% |
cfahanoi | k increase => P reduce 3/12 - 3/20 = 10% |
accounting | go for cfahanoi |
VenkatB | jamiejamie - thanks for the explanation. |
jansen1979 | t0: $ 20 = $ 3/x => x = 15% t1: $ 12 = $ 3/x => x = 25% Increase of 10% |
bundy | 3/12 = 25 3/20 = 15 therefore 10% higher |
loisliu88 | cost of preferred stock=D/r, r0= D/P0, r1= D/p1 |
2014 | Good work bundy |