Difference between simple interest and compound interest

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Reference no: EM132077184

Quantitative methods for business

The future of streaming TV is here! Gone are the days when viewers had to watch scheduled television and record clashing programs to watch later, now the viewer decides what they want to watch and when. Paid TV now offers ‘libraries' of programs which a viewer can access and binge watch to their heart's content, according to their own schedule.

AUSflix! is one such paid TV service and has been running successfully for over two years. Each time a viewer accesses the AUSflix! television guide, they are asked the AUSflix!-questionTM:

What do you want to watch now?
If the viewer knows what they want to watch, they can choose their preferred program. AUSflix! will also recommend programs the viewer might like based on past watching patterns, current popular titles and other marketing factors.

You have been working at AUSflix! for the past 9 months (and as a AUSflix!-perkTM you have free access to AUSflix!!). The company is supportive of their employees and promotes a casual working environment. You're there because you are not scared of numbers, you know how to analyse the finance and statistics behind AUSflix! to inform important decisions including Human Resources recruitment, marketing, new financial ventures and anything else that's needed. You also know how to explain financial analyses in everyday language so even the Chief Executive Officer (CEO) can understand it (how amazing!).

AUSflix! is in a growth period and have asked you to investigate. They want to expand their audience base and hire more marketers. AUSflix! also needs to understand the profitability of building its own TV production studio. A further need AUSflix! has from you at the moment is to analyse the competitiveness of AUSflix!'s pricing scheme against increasing costs of sourced TV content.

Question 1

To grow the audience base for AUSflix!, a recent marketing strategy was to introduce an AUSflix! kiosk at a local major shopping centre, branded The AUSke, to promote AUSflix! and encourage more people to sign up. The CEO needs you to review the success (or otherwise) of The AUSke before these kiosks are rolled out across major shopping centres. The most recent financial data (summarised below) will help you determine whether The AUSke was a marketing and financial success.

 

The AUSke Income Statement (financial year ending June 30 2016)

2016                          2015                          2014

 

2013

 

Sales

(less) Expenses

$'000s 948

(637)

$'000s 746

(498)

$'000s 692

(440)

$'000s 642

(395)

Net Profit

311

248

252

247

Table 1: Excerpts of financial statements from The AUSke in $'000s AUD

The AUSke Statement of Assets and Liabilities (as at June 2016)

2016                                   2015                                  2014

 

$'000s

$'000s

$'000s

Total Assets

751

656

709

Total Liabilities

432

394

496

Total Equity

319

262

213

Table 2: Excerpts of assets information from The AUSke in

(a) An important indicator capturing whether The AUSke has been a successful marketing promotion is the relative percentage change of the Net Profit of The AUSke. Using the relevant information from Table 1, calculate the relative percentage change of net profits for The AUSke between each financial year from 2013 to 2016, i.e. from 2013 to 2014, etc.

(b) Repeat the calculations in (a) for Sales by The AUSke.

(c) Provide a brief statement to explain what the numbers mean for parts a) and b)

(d) In addition to the relative profitability and sales through The AUSke, a second important indicator is the Debt/Equity ratio (also called the D/E ratio, that is the Total Liability to Total Equity ratio) which tells you whether AUSflix! is becoming more (more debt) or less (less debt) risky in the eyes of investors. Using the relevant information from Tables 1 and 2 above, calculate the D/E ratio for each year from 2014 to 2016.

(e) Provide a brief statement to explain what the numbers mean for part d)

(f) If the roll out of The AUSke goes ahead, sales people will need to be hired to work at these kiosks. The Human Resources manager would like your advice before the job ads are posted online to recruit sales people for The AUSke. To encourage applicants, AUSflix! will pay a base salary plus sales commission. The Australian Award Rate for 2017 is $38,000 per annum which would form the base salary. However, the Human Resources manager wants to publish a salary of $56,000 per annum which is the base salary plus commission. She wants to double-check sales targets with you to make sure this salary is financially achievable. The AUSke will implement a sales commission model in which a salesperson would receive 70% of the 10% commissions on sales. In order to advertise an annual salary of $56,000, calculate the target sales for the year, rounded to the nearest dollar, required to achieve this desired salary.

Additional information: if the sales targets are above $200,000 then AUSflix! will consider The AUSke viable to produce the published salary. Further information you may find useful in terms of the competitiveness of the job advertisement is that other jobs of a similar nature typically publish a salary between $45,000-50,000 per annum and do not offer commission.

Question 2

Provide, in your own words, written responses to the following:

(a) Explain the difference between ‘Simple Interest' and ‘Compound Interest'. As part of your explanation supply examples in support of your comments.

(b) Explain what an ‘Annuity' is and how it relates to ‘Compound Interest'. As part of your explanation supply examples in support of your comments.

(c) Explain the difference between "Semi-fixed" and "Semi-variable" costs. As part of your explanation supply examples in support of your comments.

(d) The structure of Linear Programming comprises four main components. Explain what each of these components are.

Note: Though you are asked to answer the above questions in "your own words", the ideas for your responses are likely to have come from somewhere, therefore, you will need to provide references for each of the above questions. Please revisit your learning on how to provide Harvard References

Question 3

AUSflix! has had a few business successes recently and find they have $350,000 funds available for further development. One option is to invest the money in AUSflix!'s business account which is a common practice in companies. This is a low-risk option that also attracts a low interest rate.

However the CEO wants AUSflix! to do something more amazing than just investing the money in the bank (which does sound kind of boring to be honest). He's a huge fan of Game of Thrones and is jealous that HBO produces its own made-for-TV productions. For this reason, he would like to see AUSflix! build its own studio for in-house production of TV shows to build AUSflix!'s presence in the market within the next couple of years. This is a higher-risk option that will mean a higher rate that recognises this risk will be applied.

There's just two problems. The first is he isn't sure whether this is a financially viable project and if investing in a boring bank account really is better. The second is that he wants the first AUSflix! TV show to have the non-catchy title Game of Q. You're not sure if he'll let you pick a better name for the TV show, but you do know he will pay attention to your comparison of the two financial options by performing the analyses below over a short-term planning horizon of two years.

Include your spreadsheet results here in this appendix for parts (a) and (b). Cropped screenshots work well - just make sure we can see the row numbers and column labels (A,B,C, etc)

(a) Investigate the first option of investing the money in a bank account. AUSflix! has a bank account that pays 4.5% interest per annum compounded monthly. Calculate the accumulated balance after 2 years.

(b) The second option is to build an in-house production studio. All of the $350,000 would be spent immediately to construct the studio. There will be ongoing monthly costs of $3,900 for studio security and $34,000 for salaries. The TV studio is expected to increase profits by $36,900 per month as a result of market confidence and $44,000 per month from paid sponsorship. In addition, it is estimated AUSflix! will save $120,000 per quarter as they will source less content from other studios, although quarterly payments towards consumables such as electricity and water are expected to total $58,000. At the end of 2 years, a payment of $20,000 will be made to keep the producer on retainer, for the possibility of future joint projects. As it is unclear whether the studio will be operational after the 2-year planning horizon, it will be assumed there are no recoverable amounts at the end of the 2 years.

AUSflix! will have to work with a cost of capital of 10% per year compounded monthly as this is a riskier venture. Use EXCEL to calculate the net present value of the proposed TV studio. Assume that increases in profits are realised at the end of each month.

For full marks show:

1. The full spreadsheet with all completed entries. Also show how you entered cash inflow and cash outflow for Month 1 and the first quarterly payment - if you wish, you can type these two calculations in Word or submit your Excel file.

2. The NPV calculation (you may use either the (1) Excel function ‘NPV', (2) prepare a discount table yourself in Excel or (3) perform the calculations manually. If you use Excel you must detail all cell references).

3. All explainations what you are doing, why you are doing it and the steps involved in providing a final solution. Ensure your answer is not just a set of calculations as 25% of the marks for this question are set aside for your explanation.

Question 4

Until now AUSflix! has depended on content sourced by other studios and is now facing the consequences of its own success. Movie and TV studios have raised the price AUSflix! has to pay to acquire the rights to their content. Even with their own TV studio to produce in-house content, AUSflix! still needs to review its pricing scheme for subscribers to absorb these increased costs and secure their financial viability.

AUSflix! charges subscribers $12.49 per month. To ensure the best subscriber experience, a team at AUSflix! needs to edit and reformat content for compatibility at an estimated cost at $45,000 per month. AUSflix! uses a server in London to deliver streaming videos to its subscribers and the facility runs at a cost of £116 per month. There is also a team of software engineers testing and maintaining all systems and infrastructures costing AUSflix! $56,000 per month. Other fixed costs are budgeted at $20,000 per month.

Other costs incurred by AUSflix! includes $0.02 per GB (GigaByte) of bandwidth to deliver content. In addition, the external studios making the content are paid $0.15 every time a subscriber watches its production. A typical AUSflix! subscriber will watch 30 programs, streaming 65GB of film and TV shows per month. Each subscriber will also cost AUSflix! $2.14 per month to maintain their membership.

Note: to convert from GBP (£) to AUD, use a conversion rate of 1.62.

(a) Using the above information, calculate:
(i) The break-even number of subscribers per month for AUSflix!.
(ii) The monthly revenue at break-even.
Show all working out including the modelling and solution steps.

(b) How many subscribers are required to obtain a profit of $100,000 per month? What is the monthly revenue for this number of subscribers? Show all working out including the modelling and solution steps.

(c) The marketing department is forecasting that if the subscription price is reduced by 10% AUSflix! will attract 35% more subscribers than the current number when monthly profit is $100,000. However, as they don't have a degree in analysing data they need you to make sure they aren't making bad recommendations. Calculate the new break-even number of subscribers, the new revenue and thus the new profit for these changes. Show all working out including the modelling and solution steps.

(d) What effect does the change in part (c) have on the contribution margin? Explain the effect of this change on the expected break-even number in part (a). Support your justification with calculation of both contribution margins.

(e) Provide a (one) chart detailing the necessary information to show the break-even points contained in your responses to parts (a) and (c) of this question

Attachment:- Normal Curve File.rar

Verified Expert

The solution file resolved all four questions using ms excel. Formulas are used as circular references facilitating the data analysis. The description for the queries was also provided.

Reference no: EM132077184

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inf2077184

11/15/2018 11:07:53 PM

Problem attachment 29805277_1harvard-referencing.pdf The answer must have a complete formula, a solution step, and a textual explanation. The statistics are to be in Excel, and the chart is retained. In the end, the documents sent to me should include the answer and Excel Sorry, i miss a Excel. 29805231_1Normal Curve Excel File1.xlsx Do you need this Excel? I have the problem volume, Excel, and reference attachment. I have no other information. 29805264_2Normal Curve Excel File1.xlsx 29805264_3harvard-referencing.pdf question 29805254_1QM Assignment 1 2082.pdf Before, I had sent a PDF about the assignment problem. 29805233_1QM Assignment 1 2082.pdf Giving an assignment to you is the best thing I order to save time and money it would be better if the prices are reduced. thanks a lot.

len2077184

8/6/2018 12:22:37 AM

In order to achieve full marks for this question it is essential that you fully explain what you are doing, why you are doing it and the steps involved in providing a final solution. Ensure your answer is not just a set of calculations as 25% of the marks for this question are set aside for your explanation. We encourage and support working in groups and seeking help, however your final submission must always represent your individual work, opinions and recommendations. If Academic Misconduct is found, all parties involved will be penalised. You need to retain all your assignment computer files (Excel, Word etc.), which must remain unchanged after submission, for the purposes of checking, if required.

len2077184

8/6/2018 12:22:02 AM

Please remember to complete and attach a cover sheet with a plagiarism declaration. Plagiarism is the use of another person’s ideas (and words) without saying where you got the information. “the taking and using as one’s own the thoughts, writings or inventions of another” The Shorter Oxford English Dictionary on historical principles, Onions CT, third edition. The lack of in text references together with a reference list will, as a minimum, result in zero marks for the section in question. The maximum penalty will be zero marks for the paper. The copying (even partially) of another person’s work will result in both the person who supplied the work to be copied and the person doing the copying receiving zero marks. For further details please see the last page of this assignment.

len2077184

8/6/2018 12:21:52 AM

The assignments are to be submitted via the submission link on the Portal. Any submission handed to your teacher in paper form will not be accepted without prior written approval. Assignments submitted late, without an extension being granted, will attract a penalty of 10% per each calendar day or part thereof beyond the due date and time. Please refer to the Course Information Booklet for the course policy regarding extensions. Please make sure that the pages of your submission are in the correct order. Please make sure that each page shows your name and the page number.

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