Chapter 10: Valuation and Rates of Return Flashcards
Price of bonds =
PV of interest + PV of Principal Payments
(discount each at rate) (1 + Y)^n
Yield to maturity / required rate of return
What is the yield to maturity
aka discount rate is bondholder required rate of return
Increase (decrease) in premium = ___ bond price
Lower / (higher)
Impact of time on bond price
Long time for above par = lower price as time increase
Long time for below par = higher price
Preferred stock valuation
Represents perpetuity, no maturity date
fixed dividend
no ownership
Price = annual dividend / required rate
YTM = Kp = Dp / Pp
Price to earning ratio
Multiplier applied to current earnings to determine value of share of stock in the market.
Influenced by:
Earnings and sales growth of firm.
Risk (or volatility in performance).
Debt-equity structure of firm.
Dividend policy.
Quality of management.
Firms w bright expectations - trade at _____ P/E Ratios
High
stock eps: $3, and P/E ratio 15 …market value =
45
- Variable growth in dividends (common stock value)
Take present value of dividends during exceptional growth period.
Determine price of stock at end of supernormal growth period by taking.
Present value of normal, constant dividends that follow supernormal growth period.
Discount the price to the present.
Add to present value of supernormal dividends.
A company’s dividend is expected to grow at 20% for the next six years. After that, the growth is expected to be 3% forever. If the required return is 10%, what is the value of the stock at time 6? The dividend just paid was $1.
What is the value today
$43.94
today: 33.03
If the current dividend (D0) is $3.00 and the growth rate is 6%. How much will the dividend be at Time 5?
Explanation
Dt=D0×(1+g)t
D5=D0×(1+g)5
D5=$3.00×(1+.06)5
D5=$3.00×1.3382
D5=$4.015
Suppose we are interested in the price of a stock in five years, P5. We just paid a dividend of $2.20 and the growth rate is 4%. The required return is 12%. What is the price of the stock in five years?
We first need the dividend at Time 5, D5. Because the dividend just paid $2.20 and the growth rate is 4% per year, D4, is:
D5 =2.20×1.045=2.20×1.2167=$2.6766
From the dividend growth model, we get the price of the stock in five years:
P5=[D5×(1+g)] (R−g)=($2.6766×1.04)(.12−.04)=2.7837.08=$34.80
A higher interest rate (discount rate) would
reduce the price of corporate bonds.
reduce the price of preferred stock.
reduce the price of common stock.
An increase in the riskiness of a particular security would affect
the risk premium for that security.
the total required return for the security.
investors’ willingness to buy the security.
The required return by investors is directly influenced by all of the following except:
inflation
U.S. Treasury rates
Dividends
Risk
Dividends