A biofuel containing an estolide ester, an ether ester, or a combination thereof. The estolide ester and ether ester can be of formula A: R1—CH(O—X)R2CO2R3 wherein R1 is an alkyl group having from 1 to 36 carbons, X is an alkyl group having from 1 to 10 carbons and preferably 1, 2, or 3 carbons or is an acyl group of formula COR5 where R5 is an alkyl group having 1 to 10 carbons and preferably 1, 2, or 3 carbons, R2 is an alkylene group or alkenylene group having from 1 to 36 carbons, and R3 is alkyl having 1 to 10 carbons and preferably 1, 2, or 3 carbons.