You are considering opening a savings account at a local bank, which seems to be offering a good rate on one of their accounts. The account would pay interest monthly. You work out that if you put $10,000 in this account, you would have $10,825 in your account at the end of the year. What would the advertised rate on this account be? (Round your answer to three decimal places)
A. |
2.785% per month |
|
B. |
7.954 % p.a. |
|
C. |
3.934% per month |
|
D. |
3.740% p.a. compounding monthly |
|
E. |
7.954% p.a. compounding monthly |
The rate is computed as shown below:
Plug the below variables in the financial calculator as follows:
PV = - 10,000
FV = 10,825
N = 12
PMT = 0
Finally press CPT and then press I/Y. It will give I/Y equal to 0.66279668%.
Since the accounts pays interest monthly, we shall multiply the above rate by 12 as follows:
= 0.66279668% x 12
= 7.954% Approximately compounding monthly.
So, the correct answer is option E.
Feel free to ask in case of any query relating to this question
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