CFA L1 Flashcards
Add on yield Formula v Discount yield Formula
Add on Yield: (P1-P0/P0)-1
Discount Yield: (P1-P0/P1)-1
Cyclical v Defensive Stocks
Cyclical: Market goes up, stocks go up - high correlation. Eg: Real Estate
Defensive: Market and stock have comparatively less correlation - stocks not sensitive to market Eg: Pharmaceuticals
Front Running
An Asset manager buying stocks personally prior to making investments through his fund - as bigger investments make the price go up, he will benefit personally. This is illegal.
Joint Probability
= Intersection value / Grand Total
Conditional Probability (Probability of A | B)
= A Intersection B / A Intersection B + A’ Intersection B
= Joint Probability / Total Probability of B
Probability
= Favourable outcomes / Total Outcomes
0 <= P(x) <=1
where P = 0 is an impossible event
P = 1 guaranteed event
Sum of all P(x) = 1
Expected Value of x
E(x) = P(x)
Expected Return of Portfolio
E(Rp) = Sum of wiE(Ri) = w1E(R1) + w2E(R2) + … + wnE(Rn)
Covariance of Expected Returns of two variables
Cov(Ri,Rj) = E[(Ri-E(Ri)*(Rj-E(Rj)]
There is no n as sum of P =1
Covar(Ri,Ri) = Var(Ri)
Sample Covariance of Returns
Sum of [(R1 - R1bar)*(R2 - R2bar) / n-1
Portfolio Variance ie Var(Rp)
Sum of wiwjCov(Ri, Rj)
= W^2Var(Ra) + 2WaWbCov(a,b) + Wb^2*Var(Rb)
- Keeps on adding for every asset added - Number of elements of Cov part = NC2 where N = number of stocks
Roys Safety First Criterion
= | Rp - RL | / SDp
- RL is the threshold level
- Higher the ratio, better as lower shortfall risk
- Shortfall % - z value
Rp - RL | / SDp
Sharpe Ratio
- When RL = Rf
= | Rp - Rf | / SDp - represents return over and above risk free rate per unit of risk
Expected Standard Deviation
= Root of Sum of P(x-E(x))^2
- Denominator = n = 1 (Sum of all P =1)
Expected Variance
Sum of P(x-E(x))^2
Expected Skewness
Sum of P(x-E(x))^3 / SD^3
Expected Kurtosis
Sum of P(x-E(x))^4 / SD^4
Expected Covariance
Sum of P[(x-E(x))*(y-E(y))]
Expected Correlation
Sum of P(Cov(x,y)) / E(SDx)*E(SDy)
= Sum of P(Cov(x,y)) / Root of Sum of P(x-E(x))^2 * Root of Sum of P(y-E(y))^2
Growth v Value Stock
Growth Stock: Exponential Growth, outperforming economy, doesn’t fluctuate too much w market changes ie is less sensitive to market as future earnings are priced in. P/BV is high
Value Stock: Available for cheap, riskier & sensitive to market, P/BV is low
Liquidity
Ability to convert asset into cash at a fair and reasonable price in a short period of time
Illiquidity = Liquidity Risk
Types of Risk
Liquidity Risk
Maturity Risk (risk due to change in rates/volatility in longer term)
Default Risk
MV v BV v IV
Market Value: Price at which asset is sold/bought in the market, based on demand, future CFs
Book Value: As per books of accounts, based on historical pricing
Intrinsic Value: Based on one’s own opinion on what the price SHOULD be, based on models, forecasts, projections
Principal Agent Conflict
Principal - who agent works for
Example of PAC: broker recommending stock to customer based on his commissions instead of for purpose of clients wealth maximization