derive the 3 asset portfolio variance. there is an example for doing it for 2 asset portfolio

p Expected portfolio return =W11+W2u2+W33 Derive por tolio variance from p2=E{(RpUp)2} porttolio variance for 3 assets =w1212+w22d22+w32d3+2w1w2dB,2+2w1w3d1,3+2w2w3d2,3 W= weight of asset in portfolio x= expected return of the wist dp2= portfolio varience 1,2= covarince between asset 1a1d2 d1,3= covarionce between asset 1 and 3 d2,3= covariance between asset 2 and 3 y example derivision of purtfulio varince with 2 assets! d2p=E{(Rpp)2}=E[{(w1R1+2R2)(w11+w22)}2=E[{w1(R11)+w2(R22)}2=E[w12(R11)2+w22(R22)2+2w1w2(R11)(R22)]=w12E[(R11)2]+w22E[(R22)]+2w1w2E(R11)(R22)]=w12d12+w2222+2w1w2d1,2 p Expected portfolio return =W11+W2u2+W33 Derive por tolio variance from p2=E{(RpUp)2} porttolio variance for 3 assets =w1212+w22d22+w32d3+2w1w2dB,2+2w1w3d1,3+2w2w3d2,3 W= weight of asset in portfolio x= expected return of the wist dp2= portfolio varience 1,2= covarince between asset 1a1d2 d1,3= covarionce between asset 1 and 3 d2,3= covariance between asset 2 and 3 y example derivision of purtfulio varince with 2 assets! d2p=E{(Rpp)2}=E[{(w1R1+2R2)(w11+w22)}2=E[{w1(R11)+w2(R22)}2=E[w12(R11)2+w22(R22)2+2w1w2(R11)(R22)]=w12E[(R11)2]+w22E[(R22)]+2w1w2E(R11)(R22)]=w12d12+w2222+2w1w2d1,2