Week 16 - Equity markets and stock valuation Flashcards
(119 cards)
What does the fundamental theory of valuation state?
states that the value of any financial asset is equal to the present value (PV) of all its future cash flows, discounted at an appropriate rate that reflects the risk and time value of money.
What is a bond?
a fixed-income security that pays periodic interest (coupon payments) and returns the face value at maturity
What are two cash flows in bond valuation?
Coupons: Periodic interest payments made to bondholders
Face Value (Par Value): The amount repaid at the bond’s maturity
What discount rate is involved in bond valuation?
The yield to maturity (YTM) is used to discount future cash flows.
It represents the return an investor would earn if they held the bond until maturity.
What does stock valuation determine?
determines the intrinsic value of a company’s stock based on future expected cash flows
What cash flows are there in stock valuation?
Stocks do not have fixed cash flows like bonds.
Instead, cash flows come from dividends (for dividend-paying stocks) or expected future earnings.
What discount rate is involved in stock valuation?
The required rate of return (r) is used as the discount rate.
It depends on the risk level of the stock and is often estimated using models like the Capital Asset Pricing Model (CAPM).
What is a special dividend?
A one-time payment, separate from regular dividends.
Usually occurs when a company has unexpected profits or sells a large asset.
What is a liquidating dividend?
Paid when a company is shutting down or selling assets.
Often a return of capital rather than a share of profits.
What is a stock dividend?
Instead of cash, shareholders receive additional shares of stock.
Typically expressed as a percentage (e.g., a 10% stock dividend means you get 10 extra shares for every 100 shares you own).
No immediate cash gain, but increases the number of shares held.
What is a cash dividend?
The most common type of dividend.
Paid in cash directly to shareholders.
Typically distributed on a per-share basis.
What are two main ways you can receive cash when you buy a share of common stock?
Dividends – The company may pay periodic cash dividends to shareholders
Capital Gains – You can sell the stock at a future price, hopefully at a higher value than your purchase price.
As with bonds, what is the stock price?
present value of these expected cash flows (dividend + expected price)
dividends could be in different forms:
we focus on cash dividend
What are 4 challenges in stock valuation (more difficult to value than a bond)?
- no promised cash flows
- cash flows are unknown in advance
- no maturity date (infinite life)
- the rate of return required by investors is unobservable
Why are there no promised cash flows in stock valuation?
Unlike bonds, which have fixed coupon payments and a guaranteed face value at maturity, stocks have no fixed cash flows.
Dividends can be irregular or nonexistent, making valuation difficult.
Why are cash flows unknown in advance in stock valuation?
Future dividends depend on company performance, profitability, and management decisions.
Some companies reinvest profits instead of paying dividends, further complicating valuation.
Why is there no maturity in common stock?
Unlike bonds, which mature at a specific date, stocks theoretically last forever.
This means valuation relies on estimating an infinite series of cash flows, which is complex.
Why is the rate of return required by investors unobservable?
The discount rate (r) used to value stocks is not directly observable.
It depends on investor expectations, risk preferences, and market conditions.
Small changes in r can significantly impact stock price estimates.
One period example:
You are thinking of purchasing a share of stock. You expect it to pay a £2 dividend in one year and you believe that you can sell the stock for £14 at that time. If you require a return of 20% on investments of this risk, what is the maximum you would be willing to pay
The stock price today is the present value of the expected cash flows (dividend + future stock price):
P_0 = (D_1 + P_1)/ 1+r
r= required rate of return
P_0 = 2+14/1.2 = 13.33
the maximum price you should be willing to pay today for this stock is £13.33.
One period example:
You are thinking of purchasing a share of stock. You expect it to pay a £2
dividend in one year and you believe that you can sell the stock for £14 at
that time. If you require a return of 20% on investments of this risk, what if P1 (14) is unknown?
P1 depends on P2
P1 = (D2 +P2)/ (1+r)
if D2, P2, and r are known, P1 can be worked out.
Remember that our goal is price today, i.e. P0 Substituting P1 into the formula of P0, we have:
P_0 = (D_1 + P_1)/ 1+r
P_0 = (D1 + (D2+P2/1+r))/ 1+r
P_0 = D1/ (1+r) + D2/ (1+r)ˆ2 + P2/ (1+r)ˆ2
Example 2 periods:
You decide to hold the same share for two years
D1 = £2.00 (expected dividend at D1)
D2 = £2.10 (expected dividend at D2)
P2 = £14.70 (expected selling price at P2)
How much would you be willing to pay today?
P_0 = D1/ (1+r) + D2/ (1+r)ˆ2 + P2/ (1+r)ˆ2
P_0 = 2/(1+0.2) + 2.1/(1+0.2)ˆ2 + 14.7/(1+0.2)ˆ2 = 13.33
What if you decide to hold the stock for three years?
D1 = £2.00 (expected dividend at D1)
D2 = £2.10 (expected dividend at D2)
D3 = £2.205 (expected dividend at D3)
P3 = £15.435 (expected selling price at P3)
How much would you be willing to pay today?
P_0 = D1/ (1+r) + D2/ (1+r)ˆ2 + D3/ (1+r)ˆ3 P3/ (1+r)ˆ3
P_0 = 2/(1+0.2) +2.1/(1+0.2)ˆ2 + 2.205/(1+0.2)ˆ3 + 15.435/(1+0.2)ˆ3 = 13.33
What do we find as we push back the selling time?
we find that the stock price today (P_0 ) is just the present value of all expected future dividends:
P_0 = D1/ (1+r) + D2/ (1+r)ˆ2 + D3/ (1+r)ˆ3 P3/ (1+r)ˆ3
= T∑t=1 D_t/(1+r)ˆt +P_r/(1+r)ˆT
Why does the selling price become irrelevant?
P_0 = ∞∑t=1 D_t/(1+r)ˆt
When we set
𝑡→∞ the term representing the present value of the selling price in the distant future approaches zero
This happens because the denominator grows exponentially, making any finite numerator insignificant.