Accepted answer
It gives 8 mg/mL, and whether that is sensible depends on the dose you will draw from it. 4 ÷ 0.5 = 8 mg/mL in phosphate-buffered diluent. A 0.5 mg dose is then 6.3 units on a U-100 barrel and a 1 mg dose is 12.5 units. Both land in a readable part of the barrel, which is the whole point of choosing the volume deliberately.
The short version: more diluent means a lower concentration, a larger volume per dose and a finer reading; less means the opposite.
Content matters. If the same 10 mg vial assays at 94 per cent content, you have 9.4 mg. In 2 mL that is 4.7 mg/mL, and a nominal 0.5 mg draw of 10 units actually delivers 0.47 mg — a six per cent shortfall that no amount of careful drawing will fix.
Round to a diluent volume you can measure accurately. Measuring 1.00 mL on a 1 mL syringe is reliable; measuring 1.37 mL on anything is not, and the error propagates into every dose.
U-100 means 100 units per millilitre by definition, so 1 unit is 0.01 mL and volume in millilitres times one hundred gives units. Every conversion here reduces to that.
A concentration calculated to three decimal places from a diluent volume measured to one is false precision.
Check the vial can physically hold the volume before you draw it up.