Find the compound interest on $10000 in 2years at 4% per annum, the interest being compounded half-yearly?
Choose the correct choice:
A) $ 645.56
B) $ 824.32
C) $ 954.26
D) $ 745.69
E) $ 1020.45

Rationale: "principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 10000 * ( 1 + 2 / 100 ) ^ 4 = 10000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 10824.32 c . i . = 10824.32 - 10000 = $ 824.32 answer is b"
Answer: B