Week 12 - Introduction to Capital Markets Flashcards
What are the three levels of return?
- Required return
- Expected return
- Realised return
What is required return?
‘Before you buy’
What an investor can earn on similar risk assets
What is expected return?
‘If you buy’
What an investor can expect to earn by buying the asset under certain assumptions
What is realised return?
‘After you sell’
What an investor actually earned by buying and selling the asset
An eg of the 3 levels of return
A stock is currently priced at £12 and is expected to provide a dividend of £1 forever. Your required return is 8%.
Your expected return = £1 / £12 = 8.3%
If you buy 10 shares at £12 each and sell a year later for £12.50, your actual (realised) return:
R = (D_1 + P_1 - P_0) × N
/ P_0 × N
= 10 + 125 - 120
/120
= 0.125 or 12.5%
What is pound returns?
in monetary terms how much income youve got from your investments
if the price grows, called capital gains
if the price goes down, called capital loss
What is the equation for total pound return?
Total pound return = income from investment + capital gain/ loss due to change in price
An eg of pound returns
You bought a security for £950 one year ago and you have received £60 of income.
You sold the security for £975 today. What is your total pound return?
income = £60
capital gain = £975 – £950 = £25
total pound return = £60 + £25 = £85
What are 3 formulas in realised (actual) returns?
It is often more useful to think in terms of percentage rather than pound returns:
1. Dividend yield
2. Capital gains yield
3. Total return (R_t, %)
What is the dividend yield formula?
Dividend yield = income/ beginning price = D_1/ P_0
or more formally
DY = D_t/ P_t-1
What is the capital gains yield formula?
(ending price - beginning price)/ beginning price = P_t - P_t-1 / P_t-1
What is the total return (R_t, %) formula?
Total return (R_t,%) = dividend yield + capital gains yield = D_t/ P_t-1 + P_t - P_t-1 / P_t-1
What is the income called we get from bonds rather than dividend yield for stocks?
coupon
An eg of Realised (actual) returns
You bought a stock for £35, and you received dividends of £1.25. The stock is now selling for £40.
What is your pound return?
£1.25 + (40-35) = 6.25
What is your expected percentage return?
£1.25/£35 +(£40-£35)/ £35 = 17.86%
What does an average realised returns list include?
Investment:
Large stocks %
Small stocks % (usually best performing for average return)
Long-term Corporate Bonds %
Long-term Government Bonds %
U.S. Treasury Bills %
Inflation %
How do you calculate the arithmetic average return?
add the returns on a stock from eg 2019 to 2022 4.9% -2.6% 7.3% and 1.4% then divide by 4 since there are 4 values
What are risk premiums?
there is a reward for bearing risk (over a reasonably long period of time) and the ‘extra’ return (reward) earned for taking on risk is the risk premium
Treasury bills (less than one year) are proxies for risk-free rate
The risk premium is the return over and above the risk-free rate
What is risk measured by?
the dispersion, spread or volatility of returns
What are 3 measures included in risk?
- Variance
- Standard deviation
- The greater the volatility the greater the uncertainty
What is variance?
var(R) or σ^2
common measure of return dispersion
What is another name for variance?
variability
What is standard deviation?
SD(R) or σ
square root of the variance
same ‘units’ as the average
What is standard deviation also called?
volatility