Synth, I wish it were so ,but Synthplanet prices are not all that they seem. This is graymarket goods and you do have to figure in all the factors that Larry listed.
It is unfair to US dealers for Korg and others to sell cheaper to the Euro market..
That may not be your concern now,but could someday be a concern to all who enjoy their local music shop.
Profit is not optional! It is survival.

Back on topic! My suggestion is that you do not compare by price or specs, because that misses the main thing,which is the essential character of the keyboard.They have very different flavors.I do think that the PA80 is worth more that a PSR2k,but price should not be the main concern here. If you can love the Yamaha,be glad that you got a such a good value,but if the Korg is speaking your language than pay the price and have no regrets. Good luck and have fun.
Bill E