Mcqs- – time value of money

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Question 1 of 20
You have determined the profitability of a planned project by finding the present value of all the cash flows from that project. Which of the following would cause the project to look more appealing in terms of the present value of those cash flows?

A. a. The discount rate decreases.
B. b. The cash flows are extended over a longer period of time, but the total amount of the cash flows remains the same.
C. c. The discount rate increases.
D. d. Answers b and c above.
E. e. Answers a and b above.

Question 2 of 20
Which of the following statements is correct?

A. a. The present value of an annuity due will exceed the present value of an ordinary annuity (assuming all else equal).
B. b. The future value of an annuity due will exceed the future value of an ordinary annuity (assuming all else equal).
C. c. The nominal interest rate will always be greater than or equal to the effective annual interest rate.
D. d. Statements a and b are correct.
E. e. All of the statements above are correct.

Question 3 of 20
Frank Lewis has a 30-year, $100,000 mortgage with a nominal interest rate of 10 percent and monthly compounding. Which of the following statements regarding his mortgage is correct?

A. a. The monthly payments will decline over time.
B. b. The proportion of the monthly payment which represents interest will be lower for the last payment than for the first payment on the loan.
C. c. The total dollar amount of principal being paid off each month gets larger as the loan approaches maturity.
D. d. Statements a and c are correct.
E. e. Statements b and c are correct.

Question 4 of 20
Suppose someone offered you the choice of two equally risky annuities, each paying $10,000 per year for five years. One is an ordinary (or deferred) annuity, the other is an annuity due. Which of the following statements is correct?

A. a. The present value of the ordinary annuity must exceed the present value of the annuity due, but the future value of an ordinary annuity may be less than the future value of the annuity due.
B. b. The present value of the annuity due exceeds the present value of the ordinary annuity, while the future value of the annuity due is less than the future value of the ordinary annuity.
C. c. The present value of the annuity due exceeds the present value of the ordinary annuity, and the future value of the annuity due also exceeds the future value of the ordinary annuity.
D. d. If interest rates increase, the difference between the present value of the ordinary annuity and the present value of the annuity due remains the same.
E. e. Answers a and d are correct.

Question 5 of 20
Which of the following investments would provide an investor the highest effective annual return?

A. a. An investment which has a 9 percent nominal rate with semiannual compounding.
B. b. An investment which has a 9 percent nominal rate with quarterly compounding.
C. c. An investment which has a 9.2 percent nominal rate with annual compounding.
D. d. An investment which has an 8.9 percent nominal rate with monthly compounding.
E. e. An investment which has an 8.9 percent nominal rate with quarterly compounding

Question 6 of 20
You just put $1,000 in a bank account which pays 6 percent nominal annual interest, compounded monthly. How much will you have in your account after 3 years?

A. a. $1,006.00
B. b. $1,056.45
C. c. $1,180.32
D. d. $1,191.00
E. e. $1,196.68

Question 7 of 20
You just graduated, and you plan to work for 10 years and then to leave for the Australian “Outback” bush country. You figure you can save $1,000 a year for the first 5 years and $2,000 a year for the next 5 years. These savings cash flows will start one year from now. In addition, your family has just given you a $5,000 graduation gift. If you put the gift now, and your future savings when they start, into an account which pays 8 percent compounded annually, what will your financial “stake” be when you leave for Australia 10 years from now?

A. a. $21,432
B. b. $28,393
C. c. $16,651
D. d. $31,148
E. e. $20,000

Question 8 of 20
If you buy a factory for $250,000 and the terms are 20 percent down, the balance to be paid off over 30 years at a 12 percent rate of interest on the unpaid balance, what are the 30 equal annual payments?

A. a. $20,593
B. b. $31,036
C. c. $24,829
D. d. $50,212
E. e. $ 6,667

Question 9 of 20
You are contributing money to an investment account so that you can purchase a house in five years. You plan to contribute six payments of $3,000 a year–the first payment will be made today (t = 0), and the final payment will be made five years from now (t = 5). If you earn 11 percent in your investment account, how much money will you have in the account five years from now (at t = 5)?

A. a. $19,412
B. b. $20,856
C. c. $21,683
D. d. $23,739
E. e. $26,350

Question 10 of 20
If you receive $15,000 today and can invest it at a 5 percent annual rate compounded continuously, what will be your ending value after 20 years?

A. a. $35,821
B. b. $40,774
C. c. $75,000
D. d. $81,342
E. e. $86,750

Question 11 of 20
You decide to begin saving toward the purchase of a new car in 5 years. If you put $1,000 at the end of each of the next 5 years in a savings account paying 4 percent compounded annually, how much will you accumulate after 5 years?

A. a. $1,481.25
B. b. $4,394.51
C. c. $6,592.34
D. d. $5,416.30
E. e. $4,935.35
Question 12 of 20
Calculate the present value of $1,000 to be received at the end of 8 years. Assume an interest rate of 5 percent.

A. a. $1,812.39
B. b. $525.18
C. c. $676.80
D. d. $650.30
E. e. $5,962.31

Question 13 of 20
How much would you be willing to pay today for an investment that would return $800 each year at the end of each of the next 6 years? Assume a discount rate of 4 percent.

A. a. $5,435.89
B. b. $4,398.87
C. c. $4,431.29
D. d. $4,532.21
E. e. $4,193.68

Question 14 of 20
If you would like to accumulate $7,500 over the next 5 years, how much must you deposit each six months, starting six months from now, given a 8 percent interest rate and semiannual compounding?

A. a. $624.69
B. b. $801.22
C. c. $910.16
D. d. $571.32
E. e. $751.56

Question 15 of 20
What is the effective annual percentage rate (EAR) of 12 percent compounded monthly?

A. a. 12.00%
B. b. 12.55%
C. c. 12.68%
D. d. 12.75%
E. e. 13.00%

Question 16 of 20
You have $ 1,000 invested in an account which pays 16 percent compounded annually. A commission agent (called a finder?) can locate for you an equally safe deposit which will pay 16 percent, compounded semi-annually, for 2 years. What is the maximum amount you should be willing to pay him now as a fee for locating the new account?

A. a. $5.63
B. b. $10.95
C. c. $17.15
D. d. $16.94
E. e. $20.15

Question 17 of 20
Assume that your aunt sold her house on December 31 and that she took a mortgage in the amount of $50,000 as part of the payment. The mortgage has a stated (or nominal) interest rate of 10 percent, but it calls for payments every 6 months, beginning on June 30, and the mortgage is to be amortized over 20 years. Now, one year later, your aunt must file Schedule B of her tax return with the IRS informing them of the interest that was included in the two payments made during the year. (This interest will be income to your aunt and a deduction to the buyer of the house.) What is the total amount of interest that was paid during the first year?

A. a. $4,979.31
B. b. $683.56
C. c. $2,651.83
D. d. $3,881.78
E. e. $760.52

Question 18 of 20
Assume that you inherited some money. A friend of yours is working as an unpaid intern at a local brokerage firm, and her boss is selling some securities which call for five payments, $75 at the end of each of the next 4 years, plus a payment of $1,075 at the end of Year 5. Your friend says she can get you some of these securities at a cost of $960 each. Your money is now invested in a bank that pays an 4 percent nominal (quoted) interest rate, but with quarterly compounding. You regard the securities as being just as safe, and as liquid, as your bank deposit, so your required effective annual rate of return on the securities is the same as that on your bank deposit. You must calculate the value of the securities to decide whether they are a good investment. What is their present value to you?

A. a. $721.93
B. b. $878.96
C. c. $824.51
D. d. $1,532.91
E. e. $1,152.82

Question 19 of 20
Your company is planning to borrow $500,000 on a 5-year, 8 percent, annual payment, fully amortized term loan. What fraction of the payment made at the end of the second year will represent repayment of principal?

A. a. 62.91%
B. b. 45.93%
C. c. 51.32%
D. d. 48.13%
E. e. 73.50%

Question 20 of 20
Which of the following statements is correct?

A. a. Except in situations where compounding occurs annually, the periodic interest rate exceeds the nominal interest rate.
B. b. The effective annual rate always exceeds the nominal rate, no matter how few or many compounding periods occur each year.
C. c. If compounding occurs more frequently than once a year, and if payments are made at times other than at the end of compounding periods, it is impossible to determine present or future values, even with a financial calculator. The reason is that under these conditions, the basic assumptions of discounted cash flow analysis are not met.
D. d. Assume that compounding occurs quarterly, that the nominal interest rate is 8 percent, and that you need to find the present value of $ 1,000 due 6 months from today. You could get the correct answer by discounting the $ 1,000 at 2 percent for 2 periods.
E. e. Statements a, b, c, and d are all false.

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July 1, 2023

11) Refer to Figure 19-10. Europe suffers a recession. Assuming all else remains constant, this would be represented as a movement from ________.

A) D to A

B) C to D

C) B to C

D) A to D

E) A to B

12) Refer to Figure 19-10. Currency speculators believe that the value of the euro will increase relative to the dollar. Assuming all else remains constant, how would this be represented?

A) Supply would decrease, demand would decrease and the economy moves from B to C to D.

B) Supply would increase, demand would decrease and the economy moves from C to B to A.

C) Supply would decrease, demand would increase and the economy moves from A to D to C.

D) Supply would increase, demand would increase and the economy moves from D to A to B.

13) Refer to Figure 19-10. Suppose that the U.S. government deficit causes interest rates in the United States to rise relative to those in the European Union. Assuming all else remains constant, how would this be represented?

A) Supply would decrease, demand would decrease and the economy moves from B to C to D.

B) Supply would increase, demand would decrease and the economy moves from C to B to A.

C) Supply would decrease, demand would increase and the economy moves from A to D to C.

D) Supply would increase, demand would increase and the economy moves from D to A to B.

14) Refer to Figure 19-10. The appreciation of the dollar is represented as a movement from

A) B to A.

B) D to C.

C) C to B.

D) C to A.

15) Refer to Figure 19-10. The depreciation of the euro is represented as a movement from

A) D to A.

B) C to D.

C) B to C.

D) B to A.

16) Refer to Figure 19-10. Italians cut back on smoking and cut their demand for American cigarettes in half. Assuming all else remains constant, this would be represented as a movement from

A) B to A.

B) D to C.

C) B to C.

D) A to D.

17) Refer to Figure 19-10. Europe experiences an economic boom. Assuming all else remains constant, this would be represented as a movement from

A) D to A.

B) D to C.

C) C to B.

D) B to A.

18) Refer to Figure 19-10. Currency speculators believe that the value of the euro will decrease relative to the dollar. Assuming all else remains constant, how would this be represented?

A) Supply would decrease, demand would decrease and the economy moves from B to C to D.

B) Supply would increase, demand would decrease and the economy moves from C to B to A.

C) Supply would decrease, demand would increase and the economy moves from A to D to C.

D) Supply would increase, demand would increase and the economy moves from D to A to B.

19) Refer to Figure 19-10. Suppose that the U.S. government deficit decreases, causing interest rates in the United States to fall relative to those in the European Union. Assuming all else remains constant, how would this be represented?

A) Supply would decrease, demand would decrease and the economy moves from B to C to D.

B) Supply would increase, demand would decrease and the economy moves from C to B to A.

C) Supply would decrease, demand would increase and the economy moves from A to D to C.

D) Supply would increase, demand would increase and the economy moves from D to A to B.

20) If there is currently a surplus of dollars, which of the following would you expect to see in the foreign exchange market?

A) The dollar will appreciate.

B) The dollar will depreciate.

C) There will be a decrease in the demand for dollars.

D) There will be a decrease in the supply of dollars.

July 1, 2023

The Tip Left column in the Friday worksheet contains a fill color and number formatting. You want to fill these formats to the other daily worksheets.

Group the Friday through Monday worksheets, staring with the Friday worksheet. Fill the format only for the range E5:E24.

Now you want to insert column totals for the five worksheets simultaneously.

With the worksheets still grouped, insert SUM functions in the range B25:E25 and apply the Totals cell style. Ungroup the worksheets.

The Week worksheet is designed to be a summary sheet. You want to insert a hyperlink to the Total heading in the Monday worksheet.

On the Week worksheet, in cell A5, insert a hyperlink to cell A25 in the Monday worksheet with the ScreenTip text Monday’s Totals. Test the hyperlink to ensure it works correctly.

In cell A6 on the Week worksheet, insert a hyperlink to cell A25 in the Tuesday worksheet with the ScreenTip text Tuesday’s Totals. Test the hyperlink to ensure it works correctly.

In cell A7, insert a hyperlink to cell A25 in the Wednesday worksheet with the ScreenTip text Wednesday’s Totals. Test the hyperlink to ensure it works correctly.

In cell A8, insert a hyperlink to cell A25 in the Thursday worksheet with the ScreenTip text Thursday’s Totals. Test the hyperlink to ensure it works correctly.

In cell A9, insert a hyperlink to cell A25 in the Friday worksheet with the ScreenTip text Friday’s Totals. Test the hyperlink to ensure it works correctly.

Now, you are ready to insert references to cells in the individual worksheets. First, you will insert a reference to Monday's Food Total.

In cell B5 on the Week worksheet, insert a formula with a 3-D reference to cell B25 in the Monday worksheet. Copy the formula to the range C5:E5.

The next formula will display the totals for Tuesday.

In cell B6, insert a formula with a 3-D reference to cell B25 in the Tuesday worksheet. Copy the formula to the range C6:E6.

In cell B7, insert a formula with a 3-D reference to cell B25 in the Wednesday worksheet. Copy the formula to the range C7:E7.

In cell B8, insert a formula with a 3-D reference to cell B25 in the Thursday worksheet. Copy the formula to the range C8:E8.

In cell B9, insert a formula with a 3-D reference to cell B25 in the Friday worksheet. Copy the formula to the range C9:E9.

Now you want to use a function with a 3-D reference to calculate the totals.

In cell B10 on the Week worksheet, insert the SUM function with a 3-D reference to calculate the total Food purchases (cell B25) for the five days. Copy the function to the range C10:E10.

The servers are required to share a portion of their tips with the Beverage Worker and Assistants. The rates are stored in another file.

Open the Exp_Excel_Ch09_Cap_Assessment_Rates.xlsx workbook. Go back to the Exp_Excel_Ch09_Cap_Assessment_Tips.xlsx workbook. In cell F5 of the Week worksheet, insert a link to the Beverage Worker Tip Rate (cell C4 in the Rates workbook) and multiply the rate by the Monday Drinks (cell C5). Copy the formula to the range F6:F9.

Next, you will calculate the tips for the assistant.

In cell G5 in the Tips workbook, insert a link to the Assistant Tip Rate (cell C5 in the Rates workbook) and multiply the rate by the Monday Subtotal (cell D5). Copy the formula to the range G6:G9. Close the Rates workbook.

Note: The tip is a monetary value in the Week worksheet. It should be formatted for Accounting Number Format.

You noticed a circular error when you first opened the Tips workbook. Now you will find and correct it.

On the Week worksheet, check for errors and correct the formula with the circular reference.

You want to create a validation rule to prevent the user from accidentally entering a negative value. For now, you will create a validation in the Friday worksheet.

Select the range E5:E24 in the Friday worksheet, create a validation rule to allow a decimal value greater than or equal to zero. Enter the input message title Tip and the input message Enter the amount of tip. (including the period). Use the Stop alert with the error alert title Invalid Number and the error alert message The tip must be zero or more. (including the period). Test the data validation by attempting to enter -20 in cell E5 and then cancel the change.

Now you will copy the validation settings to the other daily worksheets.

Copy the range E5:E24 in the Friday worksheet. Group the Monday through Thursday worksheets, select the range E5:E24, and use Paste Special Validation to copy the validation settings.

You want to unlock data-entry cells so that the user can change the tips in the daily worksheets.

Group the Monday through Friday worksheets. Select the ranges E5:E24 and unlock these cells.

Create footer with your name on the left side, the sheet name code in the center, and the file name code on the right side of all worksheets.

Now that you unlocked data-entry cells, you are ready to protect the worksheets to prevent users from changing data in other cells. Individually, protect each sheet using the default allowances without a password.

Mark the workbook as final.

Note: Mark as Final is not available in Excel for Mac. Instead, use Always Open Read-Only on the Review tab.

Save and close Exp19_Excel_Ch09_Cap_Assessment_Tips.xlsx. Exit Excel. Submit the file as directed.