[PDF] Quantitative Methods PDF elan-cfa-level-1-2012-formula-sheet.pdf

to experience the difference that we can make to your CFA level I Prep QUANTITATIVE METHODS FVN = PV (1+ r)N PV= FV (1+ r)N PVAnnuity Due

Handbook for Formulas List of formulas for Level 1 CFA® Program Effective Annual Return (EAR)= EAR=(1+periodic rate)m -1 Depreciation methods,

[PDF] Quantitative Methods

to experience the difference that we can make to your CFA level I Prep QUANTITATIVE METHODS FVN = PV (1+ r)N PV= FV (1+ r)N PVAnnuity Due

[PDF] Formula Sheet Quantitative Methods

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QUANTITATIVE METHODS

FVN = PV (1+ r)N

PV = FV

1 + r)N

PVAnnuity Due = PVOrdinary Annuity (1 + r)

FVAnnuity Due = FVOrdinary Annuity (1 + r)

PV(perpetuity) =PMT

I /Y

FVN = PVe rs * N

EAR = (1 + Periodic interest rate)N- 1

wher e: r BD = the annualized yield on a bank discount basis. D = the dollar discount (face value - purchase price)

F = the face value of the bill

t = number of days remaining until maturityr BD =

D 360 F t

where: P

0 = initial price of the investment.

1 = price received from the instrument at maturity/sale.

1 = interest or dividend received from the investment.HPY = P1 - P0 + D1 = P1 + D1 - 1

P0 P0

where C F t = the expected net cash flow at time t

N = the investment's projected life

r = the discount rate or appropriate cost of capital C Ft 1 + r)t t=0N

NPV =Net Present Value

B a nk Discount Yield Holding Period YieldThe Future Value of a Single Cash Flow T he Present Value of a Single Cash Flow

Present Value of a Perpetuity

Continuous Compounding and Future Values

E f f ective Annual Rates

3QUANTITATIVE METHODS

EAY= (1 + HPY)365/t - 1

wher e:

HPY = holding period yield

t = numbers of days remaining till maturity R

MM = HPY (360/t)R

MM = 360 rBD

360 - (t rBD)

HPY = (1 + EAY)t/365 - 1

EY = [(1 + EAY) ^ 0.5 - 1]

Where,

x i = is the ith observation. with Xi > 0 for i = 1, 2,..., N. E f f ective Annual Yield

Money Market Yield

B o nd Equalent Yield

Population Mean

Sample Mean

Geometric Mean

Harmonic Mean

4QUANTITATIVE METHODS

Range = Maximum value - Minimum value

Where:

n = number of items in the data set = the arithmetic mean of the sample where: y = percentage point at which we are dividing the distribution L y = location (L) of the percentile (Py) in the data set sorted in ascending order where: X i = observation i = population mean

N = size of the populationPercentiles

Range

Mean Absolute Deviation

Population Variance

Population Standard Deviation

where: n = sample size.

Sample variance =Sample Variance

5QUANTITATIVE METHODS

where: = mean portfolio return = risk-free return = standard deviation of portfolio returns s s where: s = sample standard deviation = the sample mean. C o efficient of variationSample Standard Deviation

Coefficient of Variation

Sharpe Ratio

S K =n i = 1(X i - X)3 s3n n 1 n 2 As n becomes large, the expression reduces to the mean cubed deviation. where: s = sample standard deviation n n i = 1(X i - X)3 s3SK Sample skewness, also known as sample relative skewness, is calculated as:

6QUANTITATIVE METHODS

Where the odds for are given as 'a to b', then:Odds for an event

Where the odds against are given as 'a to b', then:Odds for an eventSample Kurtosis uses standard deviations to the fourth power. Sample excess kurtosis is

calculated as: For a sample size greater than 100, a sample excess kurtosis of greater than 1.0 would be considered unusually high. Most equity return series have been found to be leptokurtic.K E =n i = 1(X i - X)4 s4n(n + 1) n 1 n 2 n 3

3(n - 1)2

n 2 n 3 where: s = sample standard deviation n n i = 1(X i - X)4 s4KE 3As n becomes large the equation simplifies to:

quotesdbs_dbs8.pdfusesText_14

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