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Business stat quiz | Numerical analysis homework help

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USE THIS INFORMATION BELOW FOR THE NEXT 3 QUESTIONS (1-3)

In order to estimate the average time spent on the computer terminals per student at a local university, data were collected from a sample of 144 business students over a one-week period.  Assume the population standard deviation is 1.2 hours.

 

1.         The standard error of the mean is approximately

            a.         7.5

            b.         0.014

            c.         0.100

            d.         0.133

 

2.         With a 0.95 probability, the margin of error is approximately

            a.         0.261

            b.         0.196

            c.         0.215

            d.         1.96

 

3.         If the sample mean is 9 hours, then the 95% confidence interval is approx.

            a.         7.04 to 110.96 hours

            b.         8.80 to  9.20 hours

            c.         7.80 to 10.20 hours

            d.         8.74 to 9.26 hours

 

 

 

11.       It is desired to estimate the average total compensation of CEOs in the Service industry. Data were randomly collected from 18 CEOs and the 97% confidence interval was calculated to be ($2,181,260, $5,836,180). Which of the following interpretations is correct?

a) 97% of the sampled total compensation values fell between $2,181,260 and $5,836,180.

b) We are 97% confident that the mean of the sampled CEOs falls in the interval $2,181,260 to $5,836,180.

c)      In the population of Service industry CEOs, 97% of them will have total compensations that fall in the interval $2,181,260 to $5,836,180.

d)      We are 97% confident that the average total compensation of all CEOs in the Service industry falls in the interval $2,181,260 to $5,836,180.

 

Use the information in the table below for questions 12 – 16

The following are the durations in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.

                                     Relative

        Time (in Minutes)            Frequency

        0 but less than 5            0.37

        5 but less than 10           0.22

        10 but less than 15          0.15

        15 but less than 20          0.10

        20 but less than 25          0.07

        25 but less than 30          0.07

        30 or more                   0.02

12. If 1,000 calls were randomly sampled, how many calls lasted 10 minutes or more?

       a) 220

       b) 370

       c) 410

       d) 590

 

13. If 100 calls were randomly sampled, how many calls lasted less than 15 minutes?

             a) 10

             b) 14

             c) 26

             d) 74

14. If 10 calls lasted 30 minutes or more, how many total calls were in the sample?

            a) 10

            b) 185

            c) 295

            d) 500

 

15. What is the cumulative relative frequency for the % of calls that lasted < 10 minutes?

              a) 0.10

              b) 0.59

              c) 0.76

  d) 0.84

 

16. If 100 calls were sampled, _______ of them would have lasted 15 or more minutes.

       a) 26

       b) 74

       c) 10

       d) None of the above.

 

17.       Since the population size is always larger than the sample size, then the sample statistic

            a.         can never be larger than the population parameter

            b.         can never be equal to the population parameter

            c.         can never be zero

            d.         can never be smaller than the population parameter

            e.         None of the above answers is correct.

 

18.       The measure of location that is the most likely to be influenced by extreme values in the data set is the

            a.         range

            b.         median

            c.         mode

            d.         mean

            e.         None of the above answers is correct.

 

19.       For a normal distribution, a negative value of z indicates

            a.         a mistake has been made in computations, because z is always positive

            b.         the area corresponding to the z is negative

            c.         the z is to the left of the mean

            d.         the z is to the right of the mean

            e          None of the above answers is correct.

 

20.       A confidence interval was used to estimate the proportion of statistics students that are females. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642). Based on the interval above, is the population proportion of females equal to 0.60?

a)      No, and we are 90% sure of it.

b)      No. The proportion is 54.17%.

c)      Maybe. 0.60 is a believable value of the population proportion based on the information above.

d)      Yes, and we are 90% sure of it.

 

 

 

 

 

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July 1, 2023
    

1. If the one-year spot rate is 5% (R1) (APR) and Two-year spot rate is 5.5% (R2) (APR) calculate the one-year rate one-year (Forward rate)(FR1) from today using pure expectations theory.

 

 

2 Given the following table:

Type of Security Interest Rate  5-Year Treasury Note 5%  5-Year Corporate Bond (High quality) 6%  5-Year Corporate Bond (Low quality) 8%

Calculate the default risk premium (DRP) on the Corporate bonds.

 

3 Present Value Years Interest Rate Future Value

$570 15 10%  $8,922 9 18%  $61,133 3 12%  $219,850 10 4%

Given the above data, calculate the future value in each case. (Using the formula and also a financial calculator)

 

4  Future Value Years Interest Rate Present Value

$349 10 6%  $5,227 20 2%  $48,950 12 12%  $612,511 7 10%

Given the above data, calculate the present value in each case. (Using the formula and also a financial calculator).

 

5 Given the following data, solve for the interest rate in each case. (Use a financial calculator) Present Value Years Future Value Interest Rate

$475 4 $615  $7,350 7 $18,350  $27,175 11 $65,000  $93,412 19 $200,000

 

6 You expect your newly born child to attend college in 18 years. You have $12,000 to set aside for that purpose. You also expect that the total cost of college education to be $100,000 by that time.

Calculate the interest rate at which you have to invest today to achieve your goal.

 

7 How long does it take to double your money at 9 % interest rate?

 

8 How long does it take to triple your money at 9 % interest rate?

 

9 Great Lakes Inc. has an unfunded pension liability of $300 million that must be paid in 18 years. The financial analyst wants to discount this liability back to present for valuation purposes. The appropriate discount rate is 8%.

What is the present value of this liability?

 

10 Highlight Inc. is considering an investment project with the following cash flows:

YEAR Cash Flow

1 $300  2 $400  3 $600  4 $900

If the discount rate is 10% , calculate the present value of these cash flows. What will be the present value if the discount rate is changed to 15% ?

 

11 Solar light Inc is considering a project with the following cash flows :

YEAR Cash Flow

1 $800  2 $700  3 $600  4 $500

Calculate the future value of these cash flows in year 4., if the interest rate is 12%. What will be the present value if the interest rate is changed to 16%?

 

12 Newsys Inc. will generate $30,000 per year for the next five years from a new database system. The system requires an investment of 120,000 today. If the opportunity cost of funds is 6%, is the system worth installing?
 

13 An investment pays $2,000 per year for 10 years. The payments occur at the end of each year. The required rate of return in 12%. Calculate the value of the investment today. What will be its value if the payments occurred at the beginning of each year?

 

14 If Mr. Hobbit deposits $2,000 at the end of each year for the next 10 years at an interest rate of 12% per year, how much will be have accumulated? How much will he have accumulated if he deposited the amounts at the beginning of each year?

 

15 Find the present value of a perpetuity that pays $2,000 per year and the interest rate is 10%

 

16 Show, using an example, that the present value of an annuity is the difference between the present value of two perpetuities, one starting one year from today and the other starting N+1 years from today.

 

17 Given the following data, calculate the effective annual rate (EAR) in each case. Sated rate (Nominal APR) Frequency of Compounding Effective rate (EAR)

10% Monthly  12% Quarterly  8% Daily(use 365 days)

 

18 Given the following data, calculate the stated (Nominal) annual rate (APR) in each case  Sated rate (Nominal APR) Frequency of Compounding Effective rate (EAR)

Monthly 12%  Quarterly 6 %  Daily (use 365 days) 15%

 

19 Big Bank Corp. wants to earn an effective interest rate of 9% (EAR) on its consumer loans. It uses monthly compounding on consumer loans. What should be the stated (Nominal) rate (APR) on these loans?

 

20 Calculate the future value of $1,000 in 10 years assuming an interest rate of 12% (APR) compounded quarterly. Also calculate the effective rate (EAR) on the investment.

 

21 You want to buy a new sports coupe and need $30,000 loan and the finance company affiliated with the dealership is offering 6.9% APR loan and the loan calls for 60 monthly payments. What will be your monthly payments and also the effective interest rate on the loan?

 

22 Mr. Wise is retiring in 25 years. He would like to accumulate $1,000,000 for his retirement fund by then. He plans make equal monthly payments to achieve his goal. If the rate of return on the retirement fund is 12%, what will his monthly payments be?

 

23 Mr. Wise makes payments (as per problem 33) for the first ten years and stops making payments afterwards due personal problems. How much would he have accumulated at the time of retirement assuming that the accumulated amount still earns interest at the stated rate on a monthly basis? 
 

24 Prepare an amortization schedule for a three year loan of $10,000. The interest rate is 9% per year, and the loan calls for equal annual payments. How much interest is paid over the life of the loan? (Use a financial calculator) (Also, develop the amortization schedule using Excel spread sheet)

 

25 Mr. Spend has accumulated credit card loans of $15,000 and is finding it difficult to make payments. His local bank has offered him a consolidation loan to payoff all the credit card loans. The loan calls for monthly payments for 10 years and has a nominal interest rate of 5.99% (APR). What will Mr. Spend’s monthly payments be if he takes the loan?

 

Credit Card Loan Amount Monthly Payment

Visa 1 $3,000 $90  Visa 2 $5,000 $120  Visa 3 $6,000 $150  Master Card 1 $1,000 $20

 

26 Mr. Carter is planning to buy a home and he expects to borrow $200,000 for that purpose. Currently 15-year mortgage loans are quoted at 5% (APR). He expects to make monthly payments towards the loan.

Calculate his monthly payments. What will be the outstanding amount on the loan after making payments for 5 years? 

default image
July 1, 2023
    

1. If the one-year spot rate is 5% (R1) (APR) and Two-year spot rate is 5.5% (R2) (APR) calculate the one-year rate one-year (Forward rate)(FR1) from today using pure expectations theory.

 

 

2 Given the following table:

Type of Security Interest Rate  5-Year Treasury Note 5%  5-Year Corporate Bond (High quality) 6%  5-Year Corporate Bond (Low quality) 8%

Calculate the default risk premium (DRP) on the Corporate bonds.

 

3 Present Value Years Interest Rate Future Value

$570 15 10%  $8,922 9 18%  $61,133 3 12%  $219,850 10 4%

Given the above data, calculate the future value in each case. (Using the formula and also a financial calculator)

 

4  Future Value Years Interest Rate Present Value

$349 10 6%  $5,227 20 2%  $48,950 12 12%  $612,511 7 10%

Given the above data, calculate the present value in each case. (Using the formula and also a financial calculator).

 

5 Given the following data, solve for the interest rate in each case. (Use a financial calculator) Present Value Years Future Value Interest Rate

$475 4 $615  $7,350 7 $18,350  $27,175 11 $65,000  $93,412 19 $200,000

 

6 You expect your newly born child to attend college in 18 years. You have $12,000 to set aside for that purpose. You also expect that the total cost of college education to be $100,000 by that time.

Calculate the interest rate at which you have to invest today to achieve your goal.

 

7 How long does it take to double your money at 9 % interest rate?

 

8 How long does it take to triple your money at 9 % interest rate?

 

9 Great Lakes Inc. has an unfunded pension liability of $300 million that must be paid in 18 years. The financial analyst wants to discount this liability back to present for valuation purposes. The appropriate discount rate is 8%.

What is the present value of this liability?

 

10 Highlight Inc. is considering an investment project with the following cash flows:

YEAR Cash Flow

1 $300  2 $400  3 $600  4 $900

If the discount rate is 10% , calculate the present value of these cash flows. What will be the present value if the discount rate is changed to 15% ?

 

11 Solar light Inc is considering a project with the following cash flows :

YEAR Cash Flow

1 $800  2 $700  3 $600  4 $500

Calculate the future value of these cash flows in year 4., if the interest rate is 12%. What will be the present value if the interest rate is changed to 16%?

 

12 Newsys Inc. will generate $30,000 per year for the next five years from a new database system. The system requires an investment of 120,000 today. If the opportunity cost of funds is 6%, is the system worth installing?
 

13 An investment pays $2,000 per year for 10 years. The payments occur at the end of each year. The required rate of return in 12%. Calculate the value of the investment today. What will be its value if the payments occurred at the beginning of each year?

 

14 If Mr. Hobbit deposits $2,000 at the end of each year for the next 10 years at an interest rate of 12% per year, how much will be have accumulated? How much will he have accumulated if he deposited the amounts at the beginning of each year?

 

15 Find the present value of a perpetuity that pays $2,000 per year and the interest rate is 10%

 

16 Show, using an example, that the present value of an annuity is the difference between the present value of two perpetuities, one starting one year from today and the other starting N+1 years from today.

 

17 Given the following data, calculate the effective annual rate (EAR) in each case. Sated rate (Nominal APR) Frequency of Compounding Effective rate (EAR)

10% Monthly  12% Quarterly  8% Daily(use 365 days)

 

18 Given the following data, calculate the stated (Nominal) annual rate (APR) in each case  Sated rate (Nominal APR) Frequency of Compounding Effective rate (EAR)

Monthly 12%  Quarterly 6 %  Daily (use 365 days) 15%

 

19 Big Bank Corp. wants to earn an effective interest rate of 9% (EAR) on its consumer loans. It uses monthly compounding on consumer loans. What should be the stated (Nominal) rate (APR) on these loans?

 

20 Calculate the future value of $1,000 in 10 years assuming an interest rate of 12% (APR) compounded quarterly. Also calculate the effective rate (EAR) on the investment.

 

21 You want to buy a new sports coupe and need $30,000 loan and the finance company affiliated with the dealership is offering 6.9% APR loan and the loan calls for 60 monthly payments. What will be your monthly payments and also the effective interest rate on the loan?

 

22 Mr. Wise is retiring in 25 years. He would like to accumulate $1,000,000 for his retirement fund by then. He plans make equal monthly payments to achieve his goal. If the rate of return on the retirement fund is 12%, what will his monthly payments be?

 

23 Mr. Wise makes payments (as per problem 33) for the first ten years and stops making payments afterwards due personal problems. How much would he have accumulated at the time of retirement assuming that the accumulated amount still earns interest at the stated rate on a monthly basis? 
 

24 Prepare an amortization schedule for a three year loan of $10,000. The interest rate is 9% per year, and the loan calls for equal annual payments. How much interest is paid over the life of the loan? (Use a financial calculator) (Also, develop the amortization schedule using Excel spread sheet)

 

25 Mr. Spend has accumulated credit card loans of $15,000 and is finding it difficult to make payments. His local bank has offered him a consolidation loan to payoff all the credit card loans. The loan calls for monthly payments for 10 years and has a nominal interest rate of 5.99% (APR). What will Mr. Spend’s monthly payments be if he takes the loan?

 

Credit Card Loan Amount Monthly Payment

Visa 1 $3,000 $90  Visa 2 $5,000 $120  Visa 3 $6,000 $150  Master Card 1 $1,000 $20

 

26 Mr. Carter is planning to buy a home and he expects to borrow $200,000 for that purpose. Currently 15-year mortgage loans are quoted at 5% (APR). He expects to make monthly payments towards the loan.

Calculate his monthly payments. What will be the outstanding amount on the loan after making payments for 5 years? 

default image
July 1, 2023
    

1. If the one-year spot rate is 5% (R1) (APR) and Two-year spot rate is 5.5% (R2) (APR) calculate the one-year rate one-year (Forward rate)(FR1) from today using pure expectations theory.

 

 

2 Given the following table:

Type of Security Interest Rate  5-Year Treasury Note 5%  5-Year Corporate Bond (High quality) 6%  5-Year Corporate Bond (Low quality) 8%

Calculate the default risk premium (DRP) on the Corporate bonds.

 

3 Present Value Years Interest Rate Future Value

$570 15 10%  $8,922 9 18%  $61,133 3 12%  $219,850 10 4%

Given the above data, calculate the future value in each case. (Using the formula and also a financial calculator)

 

4  Future Value Years Interest Rate Present Value

$349 10 6%  $5,227 20 2%  $48,950 12 12%  $612,511 7 10%

Given the above data, calculate the present value in each case. (Using the formula and also a financial calculator).

 

5 Given the following data, solve for the interest rate in each case. (Use a financial calculator) Present Value Years Future Value Interest Rate

$475 4 $615  $7,350 7 $18,350  $27,175 11 $65,000  $93,412 19 $200,000

 

6 You expect your newly born child to attend college in 18 years. You have $12,000 to set aside for that purpose. You also expect that the total cost of college education to be $100,000 by that time.

Calculate the interest rate at which you have to invest today to achieve your goal.

 

7 How long does it take to double your money at 9 % interest rate?

 

8 How long does it take to triple your money at 9 % interest rate?

 

9 Great Lakes Inc. has an unfunded pension liability of $300 million that must be paid in 18 years. The financial analyst wants to discount this liability back to present for valuation purposes. The appropriate discount rate is 8%.

What is the present value of this liability?

 

10 Highlight Inc. is considering an investment project with the following cash flows:

YEAR Cash Flow

1 $300  2 $400  3 $600  4 $900

If the discount rate is 10% , calculate the present value of these cash flows. What will be the present value if the discount rate is changed to 15% ?

 

11 Solar light Inc is considering a project with the following cash flows :

YEAR Cash Flow

1 $800  2 $700  3 $600  4 $500

Calculate the future value of these cash flows in year 4., if the interest rate is 12%. What will be the present value if the interest rate is changed to 16%?

 

12 Newsys Inc. will generate $30,000 per year for the next five years from a new database system. The system requires an investment of 120,000 today. If the opportunity cost of funds is 6%, is the system worth installing?
 

13 An investment pays $2,000 per year for 10 years. The payments occur at the end of each year. The required rate of return in 12%. Calculate the value of the investment today. What will be its value if the payments occurred at the beginning of each year?

 

14 If Mr. Hobbit deposits $2,000 at the end of each year for the next 10 years at an interest rate of 12% per year, how much will be have accumulated? How much will he have accumulated if he deposited the amounts at the beginning of each year?

 

15 Find the present value of a perpetuity that pays $2,000 per year and the interest rate is 10%

 

16 Show, using an example, that the present value of an annuity is the difference between the present value of two perpetuities, one starting one year from today and the other starting N+1 years from today.

 

17 Given the following data, calculate the effective annual rate (EAR) in each case. Sated rate (Nominal APR) Frequency of Compounding Effective rate (EAR)

10% Monthly  12% Quarterly  8% Daily(use 365 days)

 

18 Given the following data, calculate the stated (Nominal) annual rate (APR) in each case  Sated rate (Nominal APR) Frequency of Compounding Effective rate (EAR)

Monthly 12%  Quarterly 6 %  Daily (use 365 days) 15%

 

19 Big Bank Corp. wants to earn an effective interest rate of 9% (EAR) on its consumer loans. It uses monthly compounding on consumer loans. What should be the stated (Nominal) rate (APR) on these loans?

 

20 Calculate the future value of $1,000 in 10 years assuming an interest rate of 12% (APR) compounded quarterly. Also calculate the effective rate (EAR) on the investment.

 

21 You want to buy a new sports coupe and need $30,000 loan and the finance company affiliated with the dealership is offering 6.9% APR loan and the loan calls for 60 monthly payments. What will be your monthly payments and also the effective interest rate on the loan?

 

22 Mr. Wise is retiring in 25 years. He would like to accumulate $1,000,000 for his retirement fund by then. He plans make equal monthly payments to achieve his goal. If the rate of return on the retirement fund is 12%, what will his monthly payments be?

 

23 Mr. Wise makes payments (as per problem 33) for the first ten years and stops making payments afterwards due personal problems. How much would he have accumulated at the time of retirement assuming that the accumulated amount still earns interest at the stated rate on a monthly basis? 
 

24 Prepare an amortization schedule for a three year loan of $10,000. The interest rate is 9% per year, and the loan calls for equal annual payments. How much interest is paid over the life of the loan? (Use a financial calculator) (Also, develop the amortization schedule using Excel spread sheet)

 

25 Mr. Spend has accumulated credit card loans of $15,000 and is finding it difficult to make payments. His local bank has offered him a consolidation loan to payoff all the credit card loans. The loan calls for monthly payments for 10 years and has a nominal interest rate of 5.99% (APR). What will Mr. Spend’s monthly payments be if he takes the loan?

 

Credit Card Loan Amount Monthly Payment

Visa 1 $3,000 $90  Visa 2 $5,000 $120  Visa 3 $6,000 $150  Master Card 1 $1,000 $20

 

26 Mr. Carter is planning to buy a home and he expects to borrow $200,000 for that purpose. Currently 15-year mortgage loans are quoted at 5% (APR). He expects to make monthly payments towards the loan.

Calculate his monthly payments. What will be the outstanding amount on the loan after making payments for 5 years? 

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Having heard a lot of negative reviews about such services, I was a bit skeptical. However, our cooperation with Doctor My Essay was without pitfalls. I made two comments about the final work, and they re-wrote some parts very promptly. I am satisfied and will turn to them in the future.

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customer #17823
Human Resource Management, 2 pages
Research paper
August 5, 2021
    

It was my first experience in online ordering, and I was a bit nervous. However, this was for nothing. I’ve got a high mark!

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customer #12372
Public Relations, 3 pages
Dissertation
August 5, 2021
    

I understand that buying essays is a doubtful thing. You don’t put effort, don’t represent your ideas… However, I don’t perceive Doctor My Essay as a standard service. They don’t sell papers. They share high expertise!

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customer #12376
Journal article, 20 pages
Coursework
August 5, 2021
    

According to my previous experience, this service is really the best. They support the client and have competitive writers. I give them a perfect score!

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customer #19266
Political Science, 6 pages
Admission Essay
August 5, 2021
    

Nice service! It is cool that you can use the calculator on the main page and understand the price policy. For me, it is a huge plus!

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customer #11437
Tourism, 1 page
Discussion Essay
August 5, 2021
    

Thanks to God I found this service! If I didn’t send my research to the teacher on time, he would eat me. I tell you! However, with doctor my essay service, I met the deadline, and I am still alive.

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customer #12692
Philosophy, 5 pages
Report
August 5, 2021
    

Your service is excellent! Convenient and not expensive. Thanks for that!

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customer #10923
Psychology, 4 pages
Essay (any type)
August 5, 2021
    

If you have problems with time management, just like me, you need to cooperate with Doctor My Essay. Once you registered and made the order, you understand how easier it makes your life! Everything is online: ordering, communication… You can control the process everywhere and be sure that an expert will provide a high-level paper.

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customer #17823
Business, 8 pages

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

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Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

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Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

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Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

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Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

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