#1
If the principal amount is $1000, the interest rate is 5%, and the time is 3 years, what is the compound interest compounded annually?
$157.63
ExplanationCalculation using compound interest formula for given values.
#2
If the principal amount is $1200, the interest rate is 8%, and the time is 4 years, what is the simple interest?
$288
ExplanationCalculation of simple interest using principal, interest rate, and time.
#3
What is the formula for simple interest?
P * r * t
ExplanationSimple interest formula with principal (P), interest rate (r), and time (t).
#4
What is the formula for compound interest?
P * (1 + r/n)^(nt)
ExplanationCompound interest formula with principal (P), interest rate (r), compounding frequency (n), and time (t).
#5
What is the effective annual rate (EAR) if the nominal interest rate is 6% and compounded quarterly?
6.36%
ExplanationConversion of nominal interest rate to effective annual rate with quarterly compounding.
#6
What is the difference between simple interest and compound interest?
Simple interest is calculated only on the initial principal, while compound interest includes interest on interest.
ExplanationDistinction between simple and compound interest.
#7
If the compound interest for an investment is $450, the principal is $3000, and the time is 2 years, what is the annual interest rate?
7.5%
ExplanationCalculation of annual interest rate using compound interest formula.
#8
How does the compounding frequency affect the compound interest for a given principal, interest rate, and time?
Higher compounding frequency results in higher compound interest.
ExplanationImpact of compounding frequency on the resulting compound interest.
#9
What is the continuous compounding formula for compound interest?
P * e^(rt)
ExplanationContinuous compounding formula with principal (P), interest rate (r), and time (t).
#10
If the present value of an investment is $5000, and the future value is $7000, what is the interest rate over 3 years?
6%
ExplanationCalculation of interest rate using present and future values over a specified time period.
#11
What is the relationship between the nominal interest rate, the real interest rate, and inflation?
Nominal interest rate = Real interest rate + Inflation
ExplanationRelationship equation between nominal interest rate, real interest rate, and inflation.
#12
What is the present value of $1500 to be received in 3 years if the discount rate is 5% annually?
$1428.57
ExplanationCalculation of present value using future value and discount rate over a specified time period.
#13
If the interest rate is 12% per annum, what is the future value of $1000 after 2 years compounded semi-annually?
$1134.72
ExplanationCalculation of future value using interest rate and compounding frequency.