"Daily" compounding implies compounding 365 days per year.
Using the compound interest formula,
A = $8390 (1+0.10/365)^(365*5)
= $8390(1.000274)^1825
= $8390(1.649) = $13823.52
Under the given circumstances, with compounding 365 days per year, the original $8390 will have grown to $13832.52.
