Annual Compound Formula is:
A = P( 1 + r/n) ^nt
Where:
A is the future value of the investment
P is the principal investment
r is the annual interest rate
n is the number of interest compounded per year
t is the number of years the money is invested
So for the given problem:
P = $10,000
r = 0.0396
n = 2 since it is semi-annual
t = 2 years
Solution:
A = P( 1 + r/n) ^nt
A = $10,000 ( 1 + 0.0396/2) ^ (2)(2)
A = $10000 (1.00815834432633616)
A = $10,815.83 is the amount after two years