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can you please answer these questions for an assignment

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An arithmetic gradient series

Select one:

a. starts at zero at the end of the second period and then increases by a constant amount each period.

b. starts at zero at the end of the first period and then increases by a constant amount each period.

c. starts at zero at the end of the first period and then increases by an increasing amount each period.

d. starts at zero at the beginning of the first period and then increases by a constant amount each period.

e. starts at zero at the beginning of the second period and then increases by a constant amount each period.

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Natalie received a gift of $1 000 from her grandmother. She decides to invest the money into a trip she wants to take when she graduates from college three years from now. What annual rate of return does she have to have to accumulate $1 250 by the time of her graduation?

Select one:

a. 9.2%

b. 7.9%

c. 8.4%

d. 7.7%

e. 12.5%

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One standard assumption for annuities and gradients is

Select one:

a. each payment occurs at the beginning of the period.

b. annuities and gradients coincide with the beginning of sequential periods.

c. annuities and gradients coincide with the end of preceding periods.

d.
payment period and compounding period differ.

e. payment period and compounding period are the same.

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A geometric gradient series

Select one:

a. starts with a certain amount and from period to period increases by a constant rate.

b. starts with a certain amount and from period to period decreases by a constant percentage.

c. starts with zero and from period to period increases by a constant rate.

d. starts with zero and from period to period increases by a constant amount.

e. starts with a certain amount and from period to period increases by a constant amount.

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A factor that relates a single cash flow in one period to another single cash flow in a later period is

Select one:

a. the sinking fund factor.

b. the uniform series compound amount factor.

c. the capital recovery factor.

d. the annuity conversion factor.

e. the compound amount factor.

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The capital recovery factor converts

Select one:

a. P into A.

b. P into F.

c. F into A.

d. A into F.

e. A into P.

Question 27

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An annuity due is:

Select one:

a.
a series that starts now and increases by constant amount thereafter.

b. a series that starts now and remains constant thereafter.

c. a series that starts at the end of the first period and increases by constant percentage thereafter.

d. a series that starts at the end of the first period and remains constant thereafter.

e. a series that starts at the end of the first period and increases by constant amount thereafter.

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Maria wants to save up for a car. How much should she put in her bank account monthly to save $10 000 in two years if the bank pays 6% interest compounded monthly?

Select one:

a. $401.13

b. $316.67

c. $293.21

d. $393.20

e. $416.67

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You want to have a million dollars in the bank when you retire. You think you can save $5 000 this year, and increase that by 2% every subsequent year, in a bank that offers you 5% interest. If you make your first deposit in a year's time, how many years will it be from now before you can retire?

Select one:

a. 42

b. 43

c. 45

d. 41

e. 44

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You are promised that when you retire from your current job, in 40 years' time, you will receive a gold watch valued at $1 000. If you can invest money at 5% annual interest, what is the present worth of this promise?

Select one:

a. $231

b. $167

c. $156

d. $211

e. $142

Answer 1

As per HOMEWORKLIB RULES in case of multiple questions only the first question is to be answered

Kindly ask rest of the questions in a separate post.

1.

Correct option: (D) Starts at 0 at the beginning of the first period and then increases by a constant amount each period

Reason: Arithmetic gradient series is one which starts at 0 in period 0 and then increases by a constant amount after that in each period.