Test — Test Answers

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5

The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts would have the greatest accumulated value at the end of one year?

A
An account earning no interest
B
An account earning simple interest
C
An account earning interest compounded annually
D
An account earning interest compounded daily
8

In the table below, we are given two annuity plans, A and B, and the amount invested into each plan every month. Given this information, determine which of the two investments is an ordinary annuity, and the amount invested over a 12 month period.

Question illustration
A
Investment A is an ordinary annuity with an annual contribution of $1,100
B
Investment A is an ordinary annuity with an annual contribution of $100
C
Investment B is an ordinary annuity with an annual contribution of $1,100
D
Investment B is an ordinary annuity with an annual contribution of $100
11

Choose the proper rationale. “In the compound interest equation, time (the variable t) has the biggest effect on the outcome because...”

A
Time is usually the largest number in the equation.
B
Time uses the largest units (years are bigger than dollars or percentages).
C
Time is an exponent while the other units are factors.
D
Time is the independent variable.
12

RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal then state by what amount she will need to supplement her income. Round all answers to the nearest cent.

A
RuthAnn will meet her annual goal of exactly $32,523 for retirement.
B
RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C
RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her yearly income when she retires.
D
RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her yearly income when she retires.
15

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.

A
Ron will meet his monthly goal of exactly $4,123 for retirement.
B
Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.
C
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
D
Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

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