Will a new Dac improve the sound?

There is an nDAC listed on Audiogon. Burr Brown 1740K DAC chips. Naim has purchased the remaining stock of the chips to be able to continue to service a repair their $20,000 CD555 and matching PS 555 DR Power supply for the future. The same Burr Brown chip-set in the CD555 are shared the nDAC making it a very formidable piece and still serviceable. The nDAC can be upgraded by using Naim power Cables and different and more powerful and expensive power supplies. Naim has researched and listened to customer feedback and guaged the performance atbeach level. The nDAC sound bad ass without the additional power supplies and many folks are satisfied with its performance especially when using Naim’s high quality DIN Cables.

Another suggestion for the purchase of a MHDT DAC. Excellent products that fit into your budget.  Start with the use of your CD player as a transport. Then consider transport upgrade. Opportunity to experience benefits of each upgrade and consider streaming/server options. Dial in the majority of the frequency range then explore need for better bass. 

I bought an Emotiva ERC 4 CD player. Its $600. It has an excellent DAC. I think you would be surprised with the quality of the sound you get with the built-in DAC. Why not try it. It comes with it for free. I upgraded to an Ares II and it sounds better, not night and day better, but noticeably better. I also noticed an improvement with Audioquest interconnects. My advice is get the ERC 4 and new speakers. If you don't like it add the Ares II. 

I tried a few DACs recently and found the Denafrips ARES II a major improvement  and a keeper.  I went computer audio from my YBA Design CDP  in 2016 and have auditioned a number of DACs. ARES is around $850 from Singapore.  Lots of reviews on it.

The Ares II is a fantastic DAC but I quickly uograded to the Pontus !!. Superb. Both tacks seem to handle treble naturally and the bass is much tighter and better defined.