Suppose your credit card issuer states that it charges a 15.00% nominal annual rate, but you must make monthly payments, which a
mounts to monthly compounding. What is the effective annual rate
1 answer:
Answer: 16.08%
Explanation:
The effective annual interest rate simply means the interest rate on a loan that is restated from nominal interest rate.
In the above question, we are informed that it uses 15.00% as the nominal annual rate make monthly payments.
Effective annual rate = (1 + r/m)^m - 1
where,
r = annual nominal interest rate
m = number of compounding periods for the year.
In this case m= 12 since there are 12 months in a year.
The answer has been attached.
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Answer:
And we can find this probability using the normal standard distribution table or excel and we got:
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the expected return, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution table or excel and we got: