Sure, I can help you with that problem!
We can use the simple interest formula to solve this problem. The formula is:
I = P*r*t
where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate, and t is the time in years.
First, we need to convert the annual interest rate of 12.5% to a monthly rate. We can do this by dividing the annual rate by 12 (the number of months in a year):
r = 12.5%/12 = 0.01041667
Next, we need to convert the time of 6 months to a fraction of a year. We can do this by dividing 6 by 12:
t = 6/12 = 0.5
Now we can plug in the given values and solve for P:
I = P*r*t
$1,920 = P*0.01041667*0.5
$1,920 = P*0.00520833
P = $1,920/0.00520833
P = $368,640
Therefore, the initial deposit 6 months ago was $368,640.