1.For the year series of values shown on the following time diagram and a 12% annual interest rate, please find:

 

 

 

 

 

!

 

Present value at year 0

 

A) 5,178

 

B) 4,869

 

C) 4,582

D) 4,314

!

 

2.For the year series of values shown on the following time diagram and a 11% annual interest rate, please find:

 

 

 

 

 

!

 

!

 

Future value at year 10

 

A) 12,672

 

B) 13,046

 

C) 13,431

D) 13,825

!

 

3.For the year series of values shown on the following time diagram and a 10% annual interest rate, please find:

 

 

 

 

 

!

 

!

 

 

Annual equivalent value for the 10 years

 

A) 874.7

 

B) 858.7

 

C) 842.7

D) 826.8

!

 

4.In the year timeline series shown below, using a 9% annual interest rate, please find:

 

 

 

 

!

 

!

 

Present value at year 0

 

A) 8,305

 

B) 7,910

 

C) 7,543

D) 7,200

!

 

5.In the year timeline series shown below, using a 12% annual interest rate, please find:

 

 

 

 

 

!

 

!

 

Future value at year 10

 

A) 19,661

 

B) 20,517

 

C) 21,417

D) 22,362

!

 

6.In the year timeline series shown below, using a 10% annual interest rate, please find:

 

 

 

 

 

 

 

!

 

!

 

Annual equivalent value for the 10 years

 

A) 1,287

 

B) 1,281

 

C) 1,274

D) 1,268

!

 

7.An annual nominal interest rate of 10% is compounded quarterly. What is the interest rate per quarter?

 

A) 10%

 

B) 2.5%

 

C) 5%

D) 10.38%

!

 

8.An annual nominal interest rate of 8% is compounded quarterly. What is the effective interest per year?

 

A) 7.86%

 

B) 8%

 

C) 8.24%

D) 8.42%

!

 

9.If you borrow $60,000 at an annual interest rate of 10% compounded monthly, calculate the equal monthly payments that will pay off this loan over five years

 

A) 1334.7

 

B) 1304.5

 

C) 1274.8

D) 1245.5

!

 

10.If you borrow $60,000 at an annual interest rate of 12% compounded monthly, calculate the equal yearly payments that will pay off this loan over five years

 

A) 16,926.9

 

B) 17,394.4

 

C) 17,871.1

D) 18,356.8

!

 

11.What future amount of money will be accumulated 15 years from now by investing $5,000 now plus $2,000 in year five at 10% interest compounded quarterly?

 

A) 31,381.0

 

B) 27,369.1

 

C) 23,871.1

D) 20,821.2

!

 

12.What are the monthly payments that will pay off a $1,000,000 oil rig loan with 24 equal end-of-payments? If 10% annual nominal interest rate is compounded monthly.

 

A) 47,073.5

 

B) 46,607.8

 

C) 46,144.9

D) 45,684.7

!

 

13.A $2,000 bond matures in 20 years and pays semi-annually interest of $85. What Nominal rate of return (or annual bond ROR) compounded semi-annually does the bond yield if you pay $1,800 for it and hold it until maturity? Assume that the analysis is made on the first day of a new semi-annual period.

 

A) 5.5%

 

B) 5.25%

 

C) 5%

D) 4.85%

!

 

14.A gold mining project has an initial cost of $130,000 and an estimated salvage value after 15 years of $80,000. Estimated average annual revenues are $25,000. Estimated average annual costs are $15,000. Assuming that annual revenue and cost are uniform, what is the prospective rate of return?

 

A) 8.21%

 

B) 7.56%

 

C) 6.88%

D) 6.05%

!

 

15.A new project requires development costs of $60 million at the time zero and $100 million at the end of year 2 with incomes of $40 million per year at the end of years 1, 2 and 3 and incomes of $85 million per year at the end of years through years 4 through 10 with zero salvage value predicted at the end of year 10. What is the rate of return for this project?

 

A) 48.05%

 

B) 49.6%

 

C) 51.1%

 

D) 53.8%

!

16.Calculate the present worth cost of service for the following cash flows. Use annual compounding periods and the appropriate effective annual interest rate that is equivalent to 10% compounded monthly.

 

 

 

 

 

 

 

!

 

  1. 14,246.3

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