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Quantitative Methods

Corporate Issuers

Portfolio Management

Economics

Financial Statement Analysis

Equity Investments

Fixed Income

Derivatives

Rates and Returns

For continuous compounding, EAR = ert-1

Time Value of Money in Finance

PVperpetuity = PMT1y

Rates and Returns

Time Weighted Rate of Return (TWROR) = 1+r11+r2....1+rn1n-1
Where, 1+r1=HPR

Statistical Measures of Asset Returns

Samplw mean X = i=1NXin
when n is sample size

Rates and Returns

Harmonic mean (HM) = Ni=1N1xi (average cost of shares purchase over time)
AM > GM > HM (dollar cost averaging uses investing same amount every time period in a share;

Statistical Measures of Asset Returns

Coefficient of variation (CV) = σμ×100 OR Sxx×100

Statistical Measures of Asset Returns

Negative skewness = Mean < Median < Mode

Probability Trees and Conditional Expectations

Expected value E(x) = Weighted average of all possible outcomes  PX

Portfolio Mathematics

Cov(RA,RB) = P(S) x [RA-E(RA)][RB-E(RB)]

Statistical Measures of Asset Returns

Correlation(Ri,Rj) = Cov(Ri,Rj)σRi×σRj

Portfolio Mathematics

Cov(RARA) = Variance RA or σRA2

Hypothesis Testing

90% confidence internal = x-2.58s to x+2.58s

Portfolio Mathematics

If threshold level = Risk free rate of return
i.e. Rmin=Rf, SFR = Share's Ratio

Hypothesis Testing

Testing of equality of variance (F distribution) = F statistic=S12S22

Rates and Returns

Geometric mean return = (1+R_1 )×(1+R_2 )×(1+R_3 )×(1+R_n)n-1

Statistical Measures of Asset Returns

Samplevariance:σ2 = (x-x¯)2n-1

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