(完整版)cfa一级公式

Quantitative

Holding?Period?Yield:HPY?Bank?Discount?Yield:rBD=P1?P0?CF1P0D360FV?P0360?=?FtFVtrBD360Money?Market?Yield:rMM?HPY??tt1?rBD?360Effective?Annual?Yield:EAY?(1?HPY)365/t?1?s?Continuously compounded rate of return: rcc?ln?1??ln?1?HPR??s2?ttBEY2?3651?HPY?(1?)?(1?EAY)3652RTime?weighted?n(1?r1)(1?r2)...(1?rn)?1

RMoney?weighted?IRRXArithmetic?

n?Xi?1niny100;XWeighted??WiXi;XGeometric?nx1?x2???xn(XGeometric?XArithmetic);XHarmonic?i?1n1?i?1XinLy?(n?1)?Range?MaxValue??MinValue?Excess kurtosis = Sample kurtosis - 3MAD??Xi?1ni??;PopulationVariance?:?2??(Xi?1ni??)2nn;SampleVariance?:s2??(Xi?1ni?X)2;MAD??

n?11切比雪夫不等式：P?1?[(x?X)?ks]k2sCoefficient?of?Variation:CV?xXRp?RfSharp?Ratio?;越大越好?pExcess Kurtosis=Sample Kurtosis?3Odds of event=P(E)1?P(E);Odds against of event=1?P(E)P(E)一般条件：P(AB)?P(A|B)?P(B)?P(B|A)?P(A);P(AorB)?P(A)?P(B)?P(AB) 互斥事件：P(AB)=0；P(AorB)?P(A)?P(B)贝叶斯公式：P(B|A)?P(AB)P(A|B)=?P(B);贝努力实验：P(x)?Cnx?Px?(1?P)n?xP(A)P(A)?12?Cov1,2?1?2ni?1;Cov1,2?P(A1B1)?[P(A1)?E(rA)]?[P(B1)?E(rB)]?P(A2B2)?[P(A2)?E(rA)]?[P(B2)?E(rB)]E(Rp)??wi?E(Ri);?p2?w12?12?w22?22?2w1w2Cov1,290% Confidence interval for X is X?1.65s ; 95% for X?1.96s ; 95% for X?2.58sx??X~N(?,?2),Z?;F(?z)?1?F(z)

?Roy's Safety-first Ratio=E(Rp)?RL?p;RL?Minimum Acceptable Return中心极限定理：Z?X??x?x/n?n;X point Estimate;Z?/2 reliability factor;Confidence interval: X?Z?/2??n Standard Error

One tail:H0??0,H???0;H0??0,H???0;Two tail:H0??0,H???0Reject H0:test?statistic?critical?value;Fail to reject H0:test?statistic?critical?valueZ?test:Z?X??0X??0s/n?/n2~N(0,1);t?test:t?~t(n?1)chi?Square test:x?(n?1)s2?2s12~x(n?1);F?test:F?2(条件：S1?S2)~F(n1?1,n2?1)s22Test for equality of means: t-statistic=x1?x2?ss?????n1n2?21221/2(Sample Variances assumed unequal);t-statistic=x1?x2?ss?????n1n2?2P2P1/2 (equal)Portfolio Management

?12??p2Cov1,222?1?2?w12?1?w22?2?2w1w2Cov1,2?E(RM)?Rf?CML??E(Rp)?Rf???p??M??Total?Risk?systematic?Risk?unsystematic?Risk?i?Covi,mkt?mkt2?i???i,mkt?mktRp?Rf;M?Squared?(Rp?Rf)

SML(CAPM):E(Ri)?Rf??i[E(RM)?Rf]Sharpe?Ratio??p?M?(RM?Rf)?pTreynor?Measure?

Rp?Rf?p

;Jensen's???Rp?CAPM?(Rp?Rf)??p(RM?Rf)Economics

%?Q;ep?1,elastic;ep?1,inelastic%?Price%?QIncome??elasticity?;ei?0,normal good(01,Luxury);ei?0,inferior good%?Income%?QCross?elasticity?;ec?0,substitute;ec?0,complement%?Price of related goodbreakeven point if AR=ATC(Perfect competition);TR=TC(imperfect competition)Own?price?elasticity?shutdown point if AR