Hi - this is a Cort, made in Korea in the early 80s. These were sold branded as Kay in the UK but appear all over the place with dozens of different names, including Targa, Austin, Lotus, Michigan - and even Cort!
These neckthrough Corts appear in a variety of different shapes, from the "Cort 45" travel guitar right up to a very opulent-looking 6/12 doubleneck, which must weigh a ton. All of them have the same neckthrough construction, and triple-dot brass inlays on the fretboard. Inside you'll find Korean-made "
dp" logo full-size pots & wiring.
I'd say your guitar is the most common style - in fact I briefly owned the bass version, and it was a nicely-made & great-sounding bass - unfortunately mine had a twisted neck, otherwise it would have been a keeper. I'd certainly buy another if one came up at a realistic price.
There is loads of info about these on the - just search "Cort". The reason for this is that the styling & neckthrough construction leads many people to assume they were built by Mat - and indeed to try & pass them off as something they are not. I've seen a Flying V styled example sell on Ebay for rather more than you paid for yours - the seller was claiming it was a hand-made Jaydee V from the 80s. Disgraceful.
You did pay over the odds - but these are very nice guitars & do represent the Korean guitar industry starting to hit its stride with original(ish) designs, good quality hardware & a pretty high standard of manufacture.
Jon.