Payment Rs. 10000 each yearRate 5% annuallyTime 2 yearsAmount paid in the beginning and compounding half yearly, find the amount at the end of the period?Options :42563.29-42563.29-41525.1641526.16

The problem is about compound interest with semi-annual compounding. Here's how you can solve it:

Step 1: Identify the given values. Principal (P) = Rs. 10000 Annual interest rate (r) = 5% or 0.05 Number of compounding periods per year (n) = 2 (since it's compounded semi-annually) Total number of periods (t) = 2 years

Step 2: Convert the annual interest rate to the rate per period by dividing by the number of compounding periods per year. r/n = 0.05/2 = 0.025

Step 3: Calculate the total number of compounding periods by multiplying the number of years by the number of compounding periods per year. nt = 2*2 = 4

Step 4: Use the formula for compound interest to calculate the final amount (A). A = P(1 + r/n)^(nt) A = 10000(1 + 0.025)^4

Step 5: Calculate the value. A = 10000(1.025)^4 A = 10000*1.103812890625 A = Rs. 11038.13

So, the amount at the end of the period would be Rs. 11038.13. None of the options provided match this result. Please check the problem statement and the options again.