What external monitor to buy that has same clarity as the MacBook? I want to buy and external monitor for my MacBook 13 inch 2015. What I want is the monitor to have the same clarity as I have on my Macbook.   

I am not very familiar with the resolutions, I just know I want "retina" clarity. 

Will any 4K will do ? Or do I need a 5K monitor ?
720, 1080, 4K or 5K are all measures that imply the 
total pixel count of the display. 

Retina is a marketing term that describes a pixel density that is high enough that an average user in normal conditions cannot see the individual pixels. 

The short answer is you can go 4K up to about 25" but by the time you get to 27", the pixel density of a 4K monitor starts to get too low to be considered retina. 25"-27"+ you need to start looking at 5K monitors to get retina pixel density. 

I use a 24" LG Ultra HD (24UD58-B) and I smile each time I sit at the computer because it looks so good and the price was right. 

Hope that helps!