#1
Which of the following is NOT a type of annuity?
Static annuity
ExplanationStatic annuity is not a recognized type of annuity.
#2
What happens to the future value of an annuity if the interest rate decreases?
Decreases
ExplanationA decrease in interest rate leads to a reduction in the future value of an annuity.
#3
Which of the following statements about annuities is true?
An annuity involves regular payments over a period of time
ExplanationAnnuities are characterized by regular payments made over a specific duration.
#4
What happens to the future value of an annuity if the number of periods increases?
Increases
ExplanationAn increase in the number of periods results in an increase in the future value of an annuity.
#5
In annuities, what does the term 'n' represent?
Number of periods
Explanation'n' signifies the number of payment periods in annuities.
#6
In annuities, what does the term 'r' represent?
Annual interest rate
Explanation'r' represents the annual interest rate in annuities.
#7
What is the main advantage of using annuities for retirement savings?
Guaranteed income stream
ExplanationThe primary benefit is the assurance of a regular income stream throughout retirement.
#8
What is the formula for calculating the future value of an annuity?
FV = PV(1 + r)^n
ExplanationFuture value is calculated by multiplying the present value by the compounded interest factor.
#9
What is the key difference between an ordinary annuity and an annuity due?
Start date of payments
ExplanationThe primary difference lies in when the payments begin – at the end of each period for ordinary annuity and at the beginning for annuity due.
#10
What is the present value of an annuity?
The current value of all future payments
ExplanationPresent value represents the current worth of all future payments in an annuity.
#11
What does the term 'P' represent in the compound interest formula A = P(1 + r/n)^(nt)?
Principal amount
Explanation'P' stands for the principal amount in the compound interest formula.
#12
What is the formula for calculating the present value of an annuity?
PV = FV / (1 + r)^n
ExplanationPresent value is computed by dividing the future value by the compounded interest factor.
#13
Which of the following is a characteristic of an ordinary annuity?
Payments occur at the end of each period
ExplanationOrdinary annuities involve payments made at the end of each payment period.
#14
What does 'r' represent in the compound interest formula A = P(1 + r/n)^(nt)?
Annual interest rate
Explanation'r' denotes the annual interest rate in the compound interest formula.
#15
In compound interest, what does 'n' represent in the formula A = P(1 + r/n)^(nt)?
Number of times interest is compounded per year
Explanation'n' signifies how many times the interest is compounded annually in the compound interest formula.
#16
In an annuity due, when are payments made?
At the beginning of each period
ExplanationPayments in an annuity due are made at the start of each payment period.
#17
What is the formula for calculating the monthly payment of a loan using annuity?
PMT = PV * (r(1 + r)^n) / ((1 + r)^n - 1)
ExplanationMonthly payment is determined using the present value, interest rate, and number of periods in the loan annuity formula.
#18
Which of the following formulas is used to calculate the number of periods needed to reach a future value in compound interest?
n = ln(FV / PV) / ln(1 + r)
ExplanationThis formula calculates the number of periods required to achieve a specified future value.
#19
What is the future value of an annuity if the interest rate is 5% per annum, the annual payment is $1000, and it's compounded semi-annually for 10 years?
$13,798.14
ExplanationThe future value is $13,798.14 based on the given parameters and compound interest calculations.
#20
In compound interest, what does 't' represent in the formula A = P(1 + r/n)^(nt)?
Total number of years
Explanation't' represents the total number of years in the compound interest formula.