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’
return that an investor requires to justify the investment, considering the risk associated with it
What is expected return?
‘If you buy’
what an investor anticipates earning based on the price and dividend assumptions
What is realised return?
‘After you sell’
What an investor actually earned by buying and selling the asset
This includes both the dividend received and the capital gain or loss from the change in stock price
How is realised return calculated?
You are buying 10 shares at £12 each, and after one year, you sell the shares for £12.50. The realised return is calculated as
R = [(D₁ + P₁ - P₀ ) x N] / (P₀ x N)
D₁ = Dividend received in the first year = £1 × 10 = £10
P₁ = Price at the time of sale = £12.50 × 10 = £125
P₀ = Price at the time of purchase = £12 × 10 = £120
N = Number of shares = 10
R = 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 does total pound return include?
both the income from the investment (like dividends or interest) and the capital gain or loss resulting from the change in the price of the asset
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?
The dividend yield measures the income you receive as a percentage of the investment’s initial price
Dividend yield = income/ beginning price = D₁/ P₀
D₁ = Dividend received in the period
P₀ = Price of the asset at the beginning of the period (purchase price)
or more formally
DY = D_t/ P_t-1
What is the capital gains yield formula?
The capital gains yield measures the price change as a percentage of the initial price
(ending price - beginning price)/ beginning price = Pₜ - Pₜ₋₁ / Pₜ₋₁
Pₜ = Price of the asset at the end of the period (selling price)
Pₜ₋₁ = Price of the asset at the beginning of the period (purchase price)
What is the total return (R_t, %) formula?
Total return (R_t,%) = dividend yield + capital gains yield = (D_t/ P_t-1) + (Pₜ - Pₜ₋₁ / Pₜ₋₁ )
What is the income called we get from bonds rather than dividend yield for stocks?
coupon payment (the regular interest payments made to the bondholder, typically paid semiannually or annually)
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 and expected percentage return?
pound return:
£1.25 + (40-35) = 6.25
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?
you simply add up all the individual returns and then divide by the number of periods
Arithmetic average return = (R₁ + R₂ + Rₜ…)/ T
R₁, R₂, …, Rₜ are the returns for each period.
T is the number of periods
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
the square of the standard deviation and measures the spread of the returns around the mean return. It provides the same information about risk but in squared units of return
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
It measures the spread or volatility of returns in the same units as the original returns (e.g., percentages)
It shows how much the returns of an asset deviate from the average return over time. A higher standard deviation means more variability in the returns, indicating higher risk
What is standard deviation also called?
volatility