TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Compounds: Compound (I) is maleimide, maleic anhydride, citraconic anhydride, and/or itaconic anhydride. Compound (II) is mesaconic acid, maleic acid, fumaric acid, malenyl chloride, monomethyl maleate, dimethyl maleate, glycidyl maleate, dipropyl maleate, diisobutyl maleate, dihexyl maleate, dibenzyl maleate, p-chlorophenyl methyl maleate, phenylethyl maleate, and/or dicyclopentyl meleate. Compound (III) is methacrylic acid, acrylic acid, itaconic acid, 2-hydroxyethyl methacrylate, 2-hydroxypropyl methacrylate, 3-hydroxypropyl methacrylate, 3-hydroxybutyl methacrylate, 4-hydroxybutyl methacrylate, caprolactone adduct of 2-hydroxyethyl methacrylate, ethylene oxide adduct of 2-hydroxyethyl methacrylate, propylene oxide adduct of 2-hydroxyethyl methacrylate, 2-hydroxyethyl acrylate, 2-hydroxypropyl acrylate, 3-hydroxypropyl acrylate, 3-hydroxybutyl acrylate, 4-hydroxybutyl acrylate, caprolactone adduct of 2-hydroxyethyl acrylate, ethylene oxide adduct of 2-hydroxyethyl acrylate, propylene oxide adduct of 2-hydroxyethyl acrylate, 2-hydroxyethyl crotonate, 2-hydroxypropyl crotonate, 3-hydroxypropyl crotonate, 3-hydroxybutyl crotonate, 4-hydroxybutyl crotonate, 5-hydroxypentyl crotonate, 6-hydroxyhexyl crotonate, glycidyl methacrylate, glycidyl acrylate, glycidyl ethacrylate, 3,4-epoxycyclohexylmethyl methacrylate, and/or 3,4-epoxycyclohexylmethyl acrylate. Compound (IV) is allyl alcohol, hydroxymethyl vinyl ether, hydroxyethyl vinyl ether, hydroxypropyl vinyl ether, hydroxybutyl vinyl ether, hydroxypentyl vinyl ether, hydroxyhexyl vinyl ether, hydroxyheptyl vinyl ether, hydroxycyclohexyl vinyl ether, allylglycidyl ether, p-glycidoxy styrene, p-glycidoxy- alpha -methylstyrene, p-(3,4-epoxycyclohexylmethoxy)styrene, p-(3,4-epoxycyclohexylmethoxy)- alpha -methylstyrene, glycidyl ethylene, 3,4-epoxycyclohexylmethylethylene, glycidylvinyl ether, 3,4-epoxycyclohexylmethyl vinyl ether, and/or 3,4-epoxycyclohexylmethyl allyl ether. Compound (V) is bicyclo(2,2,2)-oct-5-ene-2,3-dicarboxylic acid anhydride and/or bicyclo(2,2,1)hept-5-ene-2,3-dicarboxylic acid anhydride. The grafting initiator is dialkyl peroxide, diacyl peroxide, peroxyester, peroxyketone, and/or azobisisobutyronitrile. The additive is filler, tackifier, slip agent, antiblocking agent, plasticizer, antioxidant, blowing agent, blowing agent activator, UV stabilizer, acid scavenger, colorant or pigment, coagent, lubricant, antifogging agent, flow aid, processing aid, extrusion aid, coupling agent, crosslinking agent, stability control agent, nucleating agent, surfactant, flame retardant, and/or antistatic agent, preferably filler or colorant.    TECHNOLOGY FOCUS - POLYMERS - Preparation (claimed): The graft copolymer is obtained by reacting modified polyfarnesene with a condensation polymer at 50-300 degrees C. Preferred Components: The condensation polymer is polyester, preferably polyethylene terephthalate, such as hydroxy-terminated polyethylene terephthalate, carboxy-terminated polyethylene terephthalate, or epoxy-terminated polyethylene terephthalate, or polycarbonate, such as hydroxy-terminated polycarbonate, or epoxy-terminated polycarbonate, polyamide, such as amino-terminated polyamide, carboxy-terminated polyamide, or epoxy-terminated polyamide. The polyfarnesene is of formula: -(-X-)n-(-Y'-)m'-.m'=0-100000, preferably 1-100000;n=1-100000;X=-CH2-C(-R1)=CH-CH2-, -CH2-C(-R1)=CH-CH2-, -C(-R1)(-CH=CH2)-CH2-, -CH(-R2)-CH2-, -CH(-R3)-C(-CH3)=CH-CH2-, -CH(-R3)-C(-CH3)=CH-CH2-, -CH(-R3)-C(-CH3)(-CH=CH2)-, or -CH(-R4)-CH2-;Y'=-C(-R5)(-R7)-C(-R6)(-R8)-;R1=H3C-C(-CH3)=CH-CH2-CH2-C(-CH3)=CH-CH2-CH2-;R2=H3C-C(-CH3)=CH-CH2-CH2-C(-CH3)=CH-CH2-CH2-C(=CH2)-;R3=H3C-C(-CH3)=CH-CH2-CH2-C(-CH3)=CH-CH2-;R4=H3C-C(-CH3)=CH-CH2-CH2-C(-CH3)=CH-CH2-CH=C(-CH3)-;andR5-R8=H, alkyl, cycloalkyl, aryl, cycloalkenyl, alkynyl, heterocyclyl, alkoxy, aryloxy, carboxy, alkoxycarbonyl, aminocarbonyl, alkylaminocarbonyl, dialkylaminocarbonyl, acyloxy, nitro or halo.(i) When m is 0, n is 2-100000; (ii) The amount of -CH2-C(-R1)=CH-CH2- is at most 80 wt.% and the amount of -CH2-C(-R1)=CH-CH2- is 5-99 wt.% based on the total weight of polyfarnesene; and (iii) The molar ratio of X and Y' is 1:4-100:1, when m is 1 or more; The polyfarnesene is a random farnesene interpolymer or a block farnesene interpolymer. The polymer composition further comprises another polymer. The ratio of graft copolymer to the other polymer is 1:99-99:1. The other polymer is polyolefin, polyurethane, polyester, polyamide, styrenic polymer, phenolic resin, polyacrylate and/or polymethacrylate. Preferred Conditions: Polyfarnesene is prepared by polymerizing beta -farnesene and/or alpha -farnesene in the presence of a catalyst. beta -Farnesene or alpha -farnesene is copolymerized with a vinyl monomer to form a farnesene interpolymer. The modified polyfarnesene is prepared by carrying out reaction in the presence of grafting initiator at 50-300 degrees C. EXAMPLE - To a dried reactor under argon atmosphere, a pre-dried solution comprising (in g) beta -farnesene (92.29) in 13.7% cyclohexane was added. n-Butyl lithium (1.85x 10-3 mol) was added to the reactor as initiator, and the reactor is heated to 50 degrees C for 19 hours, until all beta -farnesene was consumed. 1,4-Polyfarnesene was precipitated from the reaction mixture with 1% solution of ethanol and t-butyl catechol. After vacuum-drying at 60 degrees C for 2 hours, the product was kept under vacuum for 16 hours. The product (89.83) was collected and refrigerated to prevent crosslinking. (In parts weight) the obtained product (250) and maleic anhydride (50) were added to chlorobenzene (5000 ml). The mixture was agitated at 110 degrees C to form a solution of reactants. A solution (750 ml) of benzoyl peroxide (2.5) in the solvent was then added dropwise to the solution of reactants over 2 hours, followed by heating the reaction mixture at 110 degrees C for 3 hours. Maleic-anhydride-modified polyfarnesene was obtained by pouring the reaction mixture into a cold solvent, such as acetone, filtered, washed, and dried.