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FromOld Swedishþēra, fromOld Norseþeirra, with the-s added in analogy with other genitive forms, specifically the masculine/neuter singular-s. Further fromProto-Germanic*þaizǫ̂, genitive plural of*sa, and ultimately from Proto-Indo-European*tóysoHom, masculine/neuter genitive plural ofProto-Indo-European*só.

deras

their; belonging to them
När grannarna är bortresta, vaktar jagderas hund
When the neighbors are traveling, I tendtheir dog

Note the difference tosin:

När grannarna åker bort tar de med sigsin hund = When the neighbors travel, they bringtheir (own) dog.

That is, usesin if the subject of the sentence are the ones possessing something;deras otherwise.

Swedish personal pronouns
Number	Person		nominative	oblique	possessive
Number	Person		nominative	oblique	common	neuter	plural
singular	first	—	jag	mig,mej³	min	mitt	mina
	second	—	du	dig,dej³	din	ditt	dina
	third	masculine (person)	han	honom,han²,en⁵	hans
		feminine (person)	hon	henne,na⁵	hennes
		gender-neutral (person)¹	hen	hen,henom⁷	hens
		common (noun)	den	den	dess
		neuter (noun)	det	det	dess
		indefinite	manoren⁴	en	ens
		reflexive	—	sig,sej³	sin	sitt	sina
plural	first	—	vi	oss	vår,våran²	vårt,vårat²	våra
	second	—	ni	er	er,eran²,ers⁶	ert,erat²	era
	second	archaic	I	eder	eder,eders⁶	edert	edra
	third	—	de,dom³	dem,dom³	deras
	third	reflexive	—	sig,sej³	sin	sitt	sina