Answer:
10.38%
Explanation:
From the question above a bank offers to lend an amount of $10,000 for a period of 1 year
The bank expects an interest of $250 to be paid every 4 months
= $250×4
= $1,000
Total amount of interest= $1,000
The first step is to calculate the nominal interest
= (1000/10,000)×100
= 0.1×100
= 10%
Therefore, the effective annual rate on the loan can be calculated as follows
= (1+r/m)^m-1
r = 10% , m = 4
= [1+(10/100)/4]^-1
=[ (1+0.1/4)^4]-1
= (1+0.025^4)-1
= (1.025^4)-1
= 1.1038-1
= 0.1038×100
= 10.38%
Hence the effective annual rate in the loan is 10.38%
