Answer:
a. 0.75% per month
b. 2.25% per quarter
c. 4.5% semi- annually
d. 9% yearly
Explanation:
a. Computing the effective interest rate per payment period for the payment schedule which is monthly:
Effective rate (monthly) = Nominal rate (r) / Compounded monthly (m)
where
r is 9%
m is 12
Putting the values above:
= 9% / 12
= 0.75% per month
b. Computing the effective interest rate per payment period for the payment schedule which is quarterly:
Effective rate (quarterly) = Nominal rate (r) / Compounded quarterly (m)
where
r is 9%
m is 4
Putting the values above:
= 9% / 4
= 2.25% per quarter
c. Computing the effective interest rate per payment period for the payment schedule which is semi- annually:
Effective rate (semi- annually) = Nominal rate (r) / Compounded quarterly (m)
where
r is 9%
m is 2 (every 6 months)
Putting the values above:
= 9% / 2
= 4.5% semi- annually
d. Computing the effective interest rate per payment period for the payment schedule which is annually:
Effective rate (annually) = Nominal rate (r) / Compounded yearly (m)
where
r is 9%
m is 1 (end of the year)
Putting the values above:
= 9% / 1
= 9% yearly
