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Foundations of Finance Study Set 2
Exam 5: The Time Value of Money
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Question 41
True/False
If the interest rate is positive,then the future value of an annuity due will be greater than the future value of an ordinary annuity.
Question 42
Multiple Choice
Today is your 21
st
birthday and your bank account balance is $25,000.Your account is earning 6.5% interest compounded semiannually.How much will be in the account on your 50
th
birthday?
Question 43
Multiple Choice
The present value of $1,000 to be received in 5 years is ________ if the discount rate is 7.8%.
Question 44
Multiple Choice
It is your 5
th
birthday today.You have a trust fund with $50,000 that is earning 8% per year.You expect to withdraw $20,000 per year for 4 years starting on your 21
st
birthday for graduate school.How much money will be left in the trust fund after your last withdrawal (rounded to the nearest $10) ?
Question 45
Multiple Choice
If Cindy deposits $12,000 into a bank account that pays 6% interest compounded semi-annually,what will the account balance be in seven years?
Question 46
Multiple Choice
It is January 1st and Darwin Davis has just established an IRA (Individual Retirement Account) .Darwin will put $1000 into the account on December 31st of this year and at the end of each year for the following 39 years (40 years total) .How much money will Darwin have in his account at the end of the 40
th
year? Assume that the account pays 12% interest compounded annually and round to nearest $1000.
Question 47
Multiple Choice
A financial analyst tells you that investing in stocks will allow you to double your money in 7 years.What annual rate of return is the analyst assuming you can earn?
Question 48
Multiple Choice
You are thinking of buying a craft emporium.It is expected to generate cash flows of $30,000 per year in years 1 through 5,and $40,000 per year in years 6 through 10.If the appropriate discount rate is 8%,what amount are you willing to pay for the emporium?
Question 49
True/False
A share of preferred stock that pays the same annual dividend forever is an example of a perpetuity.
Question 50
True/False
The future value of an annuity due is greater than the future value of an otherwise identical ordinary annuity.
Question 51
Multiple Choice
You invest $1,000 at a variable rate of interest.Initially the rate is 4% compounded annually for the first year,and the rate increases one-half of one percent annually for five years (year two's rate is 4.5%,year three's rate is 5.0%,etc.) .How much will you have in the account after five years?
Question 52
Multiple Choice
Congratulations! You are the proud winner of the multi-state Sour Ball Lottery.You are to receive $2,000,000 at the end of each year for the next 20 years.While the Lottery Commission refers to this as a $40,000,000 jackpot,if you choose the "cash option" they will give you much less than that; you can receive a lump sum payment today equal to the present value of the ordinary annuity instead of the 20 annual payments.If the discount rate that the Lottery Commission uses to determine the lump sum payoff is 7%,what is your payoff if you select the cash option?
Question 53
Multiple Choice
You have been depositing money at the end of each year into an account drawing 8% interest.What is the balance in the account at the end of year four if you deposited the following amounts? Year End of Year Deposit
Question 54
Multiple Choice
If you put $10 in a savings account at the beginning of each month for 10 years,how much money will be in the account at the end of the 10th year? Assume that the account earns 12% compounded monthly and round to the nearest $1.