Question

In: Economics

An interest rate of 21% per year, compounded every 4 months, is equivalent to what effective...

An interest rate of 21% per year, compounded every 4 months, is equivalent to what effective rate per year? Show spreadsheet solutions

Solutions

Expert Solution

r = 21%

The compounding period (m) = 12 / 4 = 3

Effective rate per year = (1 + r / m)m - 1

                                    = (1 + 0.21 / 3)3 - 1

                                    = 1.225 - 1

                                    = 0.225

                                    = 22.5%

spreadsheet solutions:

r 21%
m 3
Effective rate per year =EFFECT(21%,3)
r 21%
m 3
Effective rate per year =0.225

Related Solutions

You are quoted an interest rate of 14% per year, compounded quarterly. What is the effective...
You are quoted an interest rate of 14% per year, compounded quarterly. What is the effective yearly interest rate?You are quoted an interest rate of 14% per year, compounded quarterly. What is the effective yearly interest rate?
For an interest rate of 8% per year compounded monthly, what is the nominal interest rate...
For an interest rate of 8% per year compounded monthly, what is the nominal interest rate for one year?
What is the annual compounded monthly rate equivalent to 19% per annum compounded per quarter?
What is the annual compounded monthly rate equivalent to 19% per annum compounded per quarter?
(a) What interest rate compounded monthly is equivalent to (has the same APY as) 15% compounded...
(a) What interest rate compounded monthly is equivalent to (has the same APY as) 15% compounded semi-annually? (b) What interest rate compounded continuously is equivalent to (has the same APY as) 15% compounded semi-annually?
Someone deposits $200 every 6 months into an account that pays interest at 4% per year...
Someone deposits $200 every 6 months into an account that pays interest at 4% per year compounded quarterly. How much does this person have after 10 years?
Given an interest rate of 6% per year compounded annually, what is the value at the...
Given an interest rate of 6% per year compounded annually, what is the value at the date t = 0 of a perpetual stream of $2,000 annual payments that begin at date t = 10? (approx. to nearest integer value) Select one: a. $19730 b. $20914 c. $18613 d. $18000
What is the effective rate of interest per semi-annual period equivalent to 8% p.a. compounding annually?
What is the effective rate of interest per semi-annual period equivalent to 8% p.a. compounding annually?
1. what is the effective interest rate for a savings accounting that is compounded quarterly at...
1. what is the effective interest rate for a savings accounting that is compounded quarterly at 8%? 2. a bond has a current market price of $1230.00. it is said to be selling at a a. premium b. discount. c. bonus d. reward 2. bond c has a $1000 face value and provides an 8% semiannual coupon for 15 years. the appropriate discount rate is 10% (annual rate). what is the value of the coupon bond? 3. if the next...
Rs. 5000 is invested in a Term Deposit Schme that fetches interest 6% per annum compounded quarterly. What will be the interest after one year? What is effective rate of interest?
Rs. 5000 is invested in a Term Deposit Schme that fetches interest 6% per annum compounded quarterly. What will be the interest after one year? What is effective rate of interest? 
What level rate of interest compounded annually is equivalent to 8% for the next 10 years...
What level rate of interest compounded annually is equivalent to 8% for the next 10 years and 5% for the following 10 years?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT