Yes, it is correct except for one very minor thing. Grammatically, 거에요 should be 거예요. 거예요 is a contraction of 것이에요; 것 becomes 거 and 이에요 becomes 예요. That is, when something is shortened, it's supposed contain as much of the original as it can. 거에요 simply drops 이, while 예요 has 예 represent both 이 and 에 (이에 is pronounced 예). So the language standard has 거예요 as the right spelling. This is such a subtle point that a whole lot of native speakers don't know or care about it. I just mention it since the sentence is perfect otherwise :-)