The Business Section of the Metropolis Express lists Megabux Bank as paying $4.95\%$ compounded daily on a $$10{,}000$ deposit, for a "yield" (or overall gain) of $5.07\%$.

1. Compute how much the initial $$10{,}000$ deposit will be worth one year after it is deposited at Megabux.

   Hint (a):

   $$10{,}507.42$

2. Confirm the $5.07\%$ "yield."

   Hint (b):

   Refer to hint in part (a).

3. When will the initial $$10{,}000$ deposit be worth $$15{,}000$?