Deck 2: Tools for Financial Planning - Applying Time Value Concepts

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سؤال
The present value of an annuity can be obtained by discounting the individual cash flows of an annuity and totalling them.
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سؤال
Time value of money is based on the belief that a dollar that will be received at some future date is worth more than a dollar today.
سؤال
The process of obtaining a present value is called discounting.
سؤال
To convert the table from ordinary annuity to annuity due is to multiple the annuity payment by (1+ i).
سؤال
The concept of time value of money will not be applied to many types of financial planning problems.
سؤال
PVA = PMT × PVIFA
سؤال
Compound interest is the process used to earn interest on interest.
سؤال
Money accumulates when it is invested and earns interest, because of the time value of money.
سؤال
Dividend is the rent charged for the use of money.
سؤال
Future value is regarded as the value of a future amount at the present time, calculated by the compounded interest.
سؤال
FVA = PMT × FVIFA
سؤال
The higher the interest rate, the lower the present value interest factor, other things being equal.
سؤال
The longer the time period, the lower the present value interest factor, other things being equal.
سؤال
Present value of the first year is determined by the future value divided by (1 + i).
سؤال
You can use either a financial calculator or a future value interest factor table to calculate future value.
سؤال
Ten percent compounded quarterly with 10 years' investment means 40 compounding periods.
سؤال
Ten percent compounded quarterly means 5 percent per compounding period.
سؤال
For a deposit of $1000 to earn 4 percent interest annually, the interest earned is $40 per year.
سؤال
The shorter the time period, the lower the future value interest factor, other things being equal.
سؤال
The higher the interest rate, the higher the future value interest factor, other things being equal.
سؤال
Annual percentage rate (APR)is also called effective interest rate.
سؤال
The best way to understand the time value of money is to use timelines to capture all information.
سؤال
The annual percentage rate (APR)is the nominal interest rate calculated by multiplying the periodic rate by the number of periods in a year.
سؤال
The two types of annuity are ordinary annuity and annuity due.
سؤال
Future value interest factor (FVIF)bases $1.00 to calculate the $1.00 over time with a given interest rate and the number of periods the $1.00 is compounded.
سؤال
The effective interest rate is the stated or quoted interest rate by the financial institutions.
سؤال
Annuity due assumes a series of cash flows happening at the end of a period.
سؤال
Mary deposits $4000 at the beginning of each year and the money will grow to $1 081 170 in 30 years with 12 percent compounded annually.
سؤال
The effective rate of interest and compounding frequency have an inverse relation.
سؤال
John wants to have a $10 000 down payment for his car in three years and he wants to know how much money must be saved today with a given interest rate to achieve this goal. John has to calculate the present value.
سؤال
Mary deposits $4000 at the beginning of each year and the money will grow to $1 081 170 in 30 years with 12 percent compounded quarterly.
سؤال
ABC Bank offers term deposits with 8 percent compounded quarterly, while XYZ Bank offers term deposits with 7.8 percent compounded annually. We know that ABC Bank offers a higher annualized rate of return.
سؤال
A nominal interest rate is also called an annual percentage rate (APR).
سؤال
Your rental payment per month within the contract is an annuity due.
سؤال
To calculate the present value, all you need is the amount of money in the future, the interest rate, and the number of years the money will be compounded.
سؤال
The nominal interest rate is the actual rate of interest you earn or pay.
سؤال
A series of future payments with equal cash flow means future value of annuity.
سؤال
An investment of $2500 grows to $108 945 at 10 percent per annum.
سؤال
Ordinary annuity is a series of equal amounts of cash flow happening at equal intervals at the end of a period.
سؤال
ABC Bank offers term deposits with 8 percent compounded semi-annually, while XYZ Bank offers term deposits with 7.9 percent compounded monthly. We are sure that ABC Bank offers a higher annualized rate of return.
سؤال
Discount refers to the process of earning interest on interest.
سؤال
The future value of $100 will increase with a particular interest rate, but the longer the period of time, the smaller the future value.
سؤال
John recently sold an antique for $29 311; the antique was purchased by John at nine years of age for
$17 800. John's annual rate of return on this antique is 7.2 percent.
سؤال
The higher the interest rate, the higher the present value, other things being equal.
سؤال
Mary wants to have $150 after four years by depositing $100 today and earning six percent interest compounded annually for the next six years. Can Mary attain her financial goal of having $150 lump sum six years later?

A)Yes, future value is more than $150.
B)Yes, present value is more than $150.
C)No, present value is less than $150.
D)No, future value is less than $150.
سؤال
If you borrow money, you will receive interest.
سؤال
An annuity refers to the payment of a series of equal cash flow payments at equal intervals of time.
سؤال
Financial institutions quote rates with different compounding periods. What is the term for the actual interest rate paid or earned?

A)Effective
B)Nominal
C)Real
D)Absolute
سؤال
An antique was originally purchased 50 years ago for $2 and today is worth $600. What is the approximate rate of return realized on the sale of this antique?

A)23 percent
B)12. percent
C)21. percent
D)13 percent
سؤال
If John makes annual year-end payments of $8337.83 on a 20-year loan with an annual interest rate of 7.5 percent., what is the original principal amount for John's loan?

A)$82 000
B)$83 325
C)$85 700
D)$85 000
سؤال
Interest = P × r × t × i
سؤال
The higher the interest rate, the higher the future value, other things being equal.
سؤال
Nick invests $50 000 today and the fund guarantees an annuity of $12 345 for six years. What is the approximate rate of return?

A)13.5 percent
B)11.6 percent
C)12.5 percent
D)Insufficient information to calculate
سؤال
Approximately what is the present value needed to receive $200 ten years from today, with an annual interest rate of ten percent?

A)$65
B)$77
C)$87
D)$97
سؤال
What is the term for the interest rate financial institutions quote?

A)Nominal
B)Effective
C)Annual
D)Absolute
سؤال
The present value interest factor is

A)always less than 1.0.
B)always more than 1.0.
C)always equal to 1.0.
D)always between 1.0 to 2.0.
سؤال
What is the future value of $200 received today and deposited at eight percent compounded annually for three years ?

A)$252
B)$250
C)$248
D)$249
سؤال
The present value of $100 will decrease with a particular discount rate, but the longer the period of time, the smaller the present value.
سؤال
What is the highest effective rate attainable with a 12 percent nominal rate?

A)12.85 percent
B)12.75 percent
C)12.65 percent
D)12.55 percent
سؤال
If you have an investment that will receive $100 at the end of year one, $200 at the end of year two, and $300 at the end of year three, what is the market value of this investment today if the discount rate is 13 percent annually?

A)$553
B)$453
C)$753
D)$653
سؤال
The amount to be invested today at a given interest rate over a specified period in order to equal a future amount is called

A)present value interest factor.
B)future value.
C)present value.
D)future value interest factor.
سؤال
If you want to have $10 000 for a down payment on a new car in three years, assuming an interest rate of 4.5 percent compounded annually, how much money do you need to deposit as a lump sum today?

A)$8412
B)$8712
C)$8112
D)$8763
سؤال
What is the present value of $1000 to be received ten years from today, assuming an interest rate of nine percent per annum?

A)$402.
B)$488.
C)$470.
D)$422.
سؤال
Julian wants to figure out how more it will cost monthly to pay off his student loans if he borrows an extra $4000 a year for four years. This will allow him to rent a nicer place and take a holiday each year. Assume that no interest accrues until he completes his education and begins paying off the loan. The interest rate for the loan amount will be seven percent per year compounded monthly and he will pay it off over five years. What would his additional monthly payment be?

A)$374
B)$267
C)$271
D)$317
سؤال
Betty wants to accumulate $1 million by the end of 20 years by making equal annual year-end deposits over the next 20 years. Assuming Betty can earn 10 percent over this period, how much must she deposit at the end of each year?

A)$18 560
B)$22 000
C)$14 760
D)$17 460
سؤال
The future value of $810 received today and deposited at 7.71 percent compounded annually for four years is closest to

A)$1620.
B)$1090.
C)$1051.
D)$21 435.
سؤال
If you want to save $40 000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded annually, how much money do you need to save each month?

A)$666
B)$697
C)$662
D)$597
سؤال
Hazel needs to plan how large a mortgage she can afford. How much would she need to pay monthly on a mortgage of $200 000 at six percent interest, calculated semi-annually and amortized over 30 years?

A)$555
B)$1111
C)$1199
D)$1190
سؤال
The future value interest factor is

A)always equal to 1.0.
B)always less than 1.0.
C)always greater than 1.0.
D)always uncertain.
سؤال
If the interest rate is zero, the future value interest factor equals

A)0)0.
B)-1.0.
C)1)0.
D)Undefined
سؤال
How long will it take Ivy's money to triple in value at 12 percent compounded quarterly?

A)9)2 years
B)9)7 years
C)9)3 years
D)It depends on the amount
سؤال
In a recessionary economy, interest rate on deposits can be 0 percent. However, Raymond has an investment of $25 000 now, and in three years it will mature and pay Raymond $32 000. What is the approximate rate of return on his investment?

A)8)3 percent
B)8)6 percent
C)8)9 percent
D)Insufficient information to calculate this question
سؤال
Raymond wants to save the college tuition fees he will need in ten years by starting with a deposit of $6500 today and depositing another $500 at the end of each year. How much will Raymond have in ten years if he gets a rate of return of four percent?

A)$15 625
B)$11 960
C)$15 865
D)$17 023
سؤال
What is the present value of an ordinary annuity of $1550 each year for 15 years, with an interest rate of 6.6 percent per annum?

A)$17 589
B)$16 500
C)$14 481
D)$10 500
سؤال
The future value of today's $200 to be received 10 years later with an interest rate of 10 percent per annum is

A)$424.
B)$484.
C)$542.
D)$519.
سؤال
Rebeccah is 65 and planing to retire next month. She can select a pension of $1745 monthly guaranteed for the rest of her life, but not indexed for inflation, or take a lump sum of $312 000. Assume she can invest the lump sum at five percent annually and draw the same income as the pension. How long does she need to live in order for the monthly pension to be the better choice?

A)89
B)90
C)92
D)93
سؤال
Danny invests $124 090 in a fund and expects to receive $10 000 per year for the next 30 years. What is the approximate rate of return?

A)8 percent
B)6 percent
C)9 percent
D)7 percent
سؤال
The future value of $676 received today and deposited at 5.85 percent compounded annually for five years is closest to

A)$693.
B)$962.
C)$907.
D)$898.
سؤال
Aleem needs to figure out how much interest he would save if he paid off his mortgage over 15 years instead of 30 years? His mortgage is $100 000 at six percent interest calculated semi-annually.

A)$44 111
B)$107 069
C)$58 297
D)$62 959.
سؤال
If you borrow $20 000 as a five-year loan from the bank and the bank requires you to make end-of-year payments of $4878.05, what is the annual interest rate on this loan?

A)8 percent
B)6 percent
C)7 percent
D)9 percent
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Deck 2: Tools for Financial Planning - Applying Time Value Concepts
1
The present value of an annuity can be obtained by discounting the individual cash flows of an annuity and totalling them.
True
2
Time value of money is based on the belief that a dollar that will be received at some future date is worth more than a dollar today.
False
3
The process of obtaining a present value is called discounting.
True
4
To convert the table from ordinary annuity to annuity due is to multiple the annuity payment by (1+ i).
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5
The concept of time value of money will not be applied to many types of financial planning problems.
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6
PVA = PMT × PVIFA
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7
Compound interest is the process used to earn interest on interest.
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8
Money accumulates when it is invested and earns interest, because of the time value of money.
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9
Dividend is the rent charged for the use of money.
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10
Future value is regarded as the value of a future amount at the present time, calculated by the compounded interest.
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11
FVA = PMT × FVIFA
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12
The higher the interest rate, the lower the present value interest factor, other things being equal.
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13
The longer the time period, the lower the present value interest factor, other things being equal.
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14
Present value of the first year is determined by the future value divided by (1 + i).
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15
You can use either a financial calculator or a future value interest factor table to calculate future value.
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16
Ten percent compounded quarterly with 10 years' investment means 40 compounding periods.
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17
Ten percent compounded quarterly means 5 percent per compounding period.
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18
For a deposit of $1000 to earn 4 percent interest annually, the interest earned is $40 per year.
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19
The shorter the time period, the lower the future value interest factor, other things being equal.
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20
The higher the interest rate, the higher the future value interest factor, other things being equal.
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21
Annual percentage rate (APR)is also called effective interest rate.
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22
The best way to understand the time value of money is to use timelines to capture all information.
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23
The annual percentage rate (APR)is the nominal interest rate calculated by multiplying the periodic rate by the number of periods in a year.
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24
The two types of annuity are ordinary annuity and annuity due.
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25
Future value interest factor (FVIF)bases $1.00 to calculate the $1.00 over time with a given interest rate and the number of periods the $1.00 is compounded.
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26
The effective interest rate is the stated or quoted interest rate by the financial institutions.
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27
Annuity due assumes a series of cash flows happening at the end of a period.
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28
Mary deposits $4000 at the beginning of each year and the money will grow to $1 081 170 in 30 years with 12 percent compounded annually.
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29
The effective rate of interest and compounding frequency have an inverse relation.
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30
John wants to have a $10 000 down payment for his car in three years and he wants to know how much money must be saved today with a given interest rate to achieve this goal. John has to calculate the present value.
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31
Mary deposits $4000 at the beginning of each year and the money will grow to $1 081 170 in 30 years with 12 percent compounded quarterly.
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32
ABC Bank offers term deposits with 8 percent compounded quarterly, while XYZ Bank offers term deposits with 7.8 percent compounded annually. We know that ABC Bank offers a higher annualized rate of return.
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33
A nominal interest rate is also called an annual percentage rate (APR).
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34
Your rental payment per month within the contract is an annuity due.
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35
To calculate the present value, all you need is the amount of money in the future, the interest rate, and the number of years the money will be compounded.
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36
The nominal interest rate is the actual rate of interest you earn or pay.
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37
A series of future payments with equal cash flow means future value of annuity.
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38
An investment of $2500 grows to $108 945 at 10 percent per annum.
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39
Ordinary annuity is a series of equal amounts of cash flow happening at equal intervals at the end of a period.
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40
ABC Bank offers term deposits with 8 percent compounded semi-annually, while XYZ Bank offers term deposits with 7.9 percent compounded monthly. We are sure that ABC Bank offers a higher annualized rate of return.
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41
Discount refers to the process of earning interest on interest.
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42
The future value of $100 will increase with a particular interest rate, but the longer the period of time, the smaller the future value.
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43
John recently sold an antique for $29 311; the antique was purchased by John at nine years of age for
$17 800. John's annual rate of return on this antique is 7.2 percent.
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44
The higher the interest rate, the higher the present value, other things being equal.
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45
Mary wants to have $150 after four years by depositing $100 today and earning six percent interest compounded annually for the next six years. Can Mary attain her financial goal of having $150 lump sum six years later?

A)Yes, future value is more than $150.
B)Yes, present value is more than $150.
C)No, present value is less than $150.
D)No, future value is less than $150.
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46
If you borrow money, you will receive interest.
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47
An annuity refers to the payment of a series of equal cash flow payments at equal intervals of time.
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48
Financial institutions quote rates with different compounding periods. What is the term for the actual interest rate paid or earned?

A)Effective
B)Nominal
C)Real
D)Absolute
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49
An antique was originally purchased 50 years ago for $2 and today is worth $600. What is the approximate rate of return realized on the sale of this antique?

A)23 percent
B)12. percent
C)21. percent
D)13 percent
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50
If John makes annual year-end payments of $8337.83 on a 20-year loan with an annual interest rate of 7.5 percent., what is the original principal amount for John's loan?

A)$82 000
B)$83 325
C)$85 700
D)$85 000
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51
Interest = P × r × t × i
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52
The higher the interest rate, the higher the future value, other things being equal.
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53
Nick invests $50 000 today and the fund guarantees an annuity of $12 345 for six years. What is the approximate rate of return?

A)13.5 percent
B)11.6 percent
C)12.5 percent
D)Insufficient information to calculate
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54
Approximately what is the present value needed to receive $200 ten years from today, with an annual interest rate of ten percent?

A)$65
B)$77
C)$87
D)$97
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55
What is the term for the interest rate financial institutions quote?

A)Nominal
B)Effective
C)Annual
D)Absolute
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56
The present value interest factor is

A)always less than 1.0.
B)always more than 1.0.
C)always equal to 1.0.
D)always between 1.0 to 2.0.
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57
What is the future value of $200 received today and deposited at eight percent compounded annually for three years ?

A)$252
B)$250
C)$248
D)$249
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58
The present value of $100 will decrease with a particular discount rate, but the longer the period of time, the smaller the present value.
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59
What is the highest effective rate attainable with a 12 percent nominal rate?

A)12.85 percent
B)12.75 percent
C)12.65 percent
D)12.55 percent
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60
If you have an investment that will receive $100 at the end of year one, $200 at the end of year two, and $300 at the end of year three, what is the market value of this investment today if the discount rate is 13 percent annually?

A)$553
B)$453
C)$753
D)$653
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61
The amount to be invested today at a given interest rate over a specified period in order to equal a future amount is called

A)present value interest factor.
B)future value.
C)present value.
D)future value interest factor.
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62
If you want to have $10 000 for a down payment on a new car in three years, assuming an interest rate of 4.5 percent compounded annually, how much money do you need to deposit as a lump sum today?

A)$8412
B)$8712
C)$8112
D)$8763
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63
What is the present value of $1000 to be received ten years from today, assuming an interest rate of nine percent per annum?

A)$402.
B)$488.
C)$470.
D)$422.
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64
Julian wants to figure out how more it will cost monthly to pay off his student loans if he borrows an extra $4000 a year for four years. This will allow him to rent a nicer place and take a holiday each year. Assume that no interest accrues until he completes his education and begins paying off the loan. The interest rate for the loan amount will be seven percent per year compounded monthly and he will pay it off over five years. What would his additional monthly payment be?

A)$374
B)$267
C)$271
D)$317
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65
Betty wants to accumulate $1 million by the end of 20 years by making equal annual year-end deposits over the next 20 years. Assuming Betty can earn 10 percent over this period, how much must she deposit at the end of each year?

A)$18 560
B)$22 000
C)$14 760
D)$17 460
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66
The future value of $810 received today and deposited at 7.71 percent compounded annually for four years is closest to

A)$1620.
B)$1090.
C)$1051.
D)$21 435.
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67
If you want to save $40 000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded annually, how much money do you need to save each month?

A)$666
B)$697
C)$662
D)$597
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68
Hazel needs to plan how large a mortgage she can afford. How much would she need to pay monthly on a mortgage of $200 000 at six percent interest, calculated semi-annually and amortized over 30 years?

A)$555
B)$1111
C)$1199
D)$1190
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69
The future value interest factor is

A)always equal to 1.0.
B)always less than 1.0.
C)always greater than 1.0.
D)always uncertain.
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70
If the interest rate is zero, the future value interest factor equals

A)0)0.
B)-1.0.
C)1)0.
D)Undefined
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71
How long will it take Ivy's money to triple in value at 12 percent compounded quarterly?

A)9)2 years
B)9)7 years
C)9)3 years
D)It depends on the amount
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72
In a recessionary economy, interest rate on deposits can be 0 percent. However, Raymond has an investment of $25 000 now, and in three years it will mature and pay Raymond $32 000. What is the approximate rate of return on his investment?

A)8)3 percent
B)8)6 percent
C)8)9 percent
D)Insufficient information to calculate this question
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73
Raymond wants to save the college tuition fees he will need in ten years by starting with a deposit of $6500 today and depositing another $500 at the end of each year. How much will Raymond have in ten years if he gets a rate of return of four percent?

A)$15 625
B)$11 960
C)$15 865
D)$17 023
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74
What is the present value of an ordinary annuity of $1550 each year for 15 years, with an interest rate of 6.6 percent per annum?

A)$17 589
B)$16 500
C)$14 481
D)$10 500
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75
The future value of today's $200 to be received 10 years later with an interest rate of 10 percent per annum is

A)$424.
B)$484.
C)$542.
D)$519.
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76
Rebeccah is 65 and planing to retire next month. She can select a pension of $1745 monthly guaranteed for the rest of her life, but not indexed for inflation, or take a lump sum of $312 000. Assume she can invest the lump sum at five percent annually and draw the same income as the pension. How long does she need to live in order for the monthly pension to be the better choice?

A)89
B)90
C)92
D)93
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77
Danny invests $124 090 in a fund and expects to receive $10 000 per year for the next 30 years. What is the approximate rate of return?

A)8 percent
B)6 percent
C)9 percent
D)7 percent
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78
The future value of $676 received today and deposited at 5.85 percent compounded annually for five years is closest to

A)$693.
B)$962.
C)$907.
D)$898.
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79
Aleem needs to figure out how much interest he would save if he paid off his mortgage over 15 years instead of 30 years? His mortgage is $100 000 at six percent interest calculated semi-annually.

A)$44 111
B)$107 069
C)$58 297
D)$62 959.
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80
If you borrow $20 000 as a five-year loan from the bank and the bank requires you to make end-of-year payments of $4878.05, what is the annual interest rate on this loan?

A)8 percent
B)6 percent
C)7 percent
D)9 percent
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