project evaluation business mathematics

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Project Evaluation - Math Problem Example

• Subject: Finance & Accounting
• Type: Math Problem
• Level: College
• Pages: 5 (1250 words)
• Downloads: 3
• Author: qgrant

Extract of sample "Project Evaluation"

The other option that Salsbury has is to open a health and fitness complex and it has a NPV of ?700,000. Furthermore, the report justifies the technique that has been used in order to evaluate the project by comparing it with other project evaluation techniques such as Accounting Rate of Return and Profitability Index. Moreover, the report then discusses other factors that the organization needs to consider while making the investment decision. ANALYSING THE FEASIBILITY OF THE PROJECT Net present value (NPV) is the technique that has been used to analyze the feasibility of the project.

NPV shows the net future cash flows of the project after being discounted with the discount rate so that the present value or present worth of the cash flows can be calculated (McLaney, 2009). In the appendix 1 of the report, the forecasted cash flows for the 10 years are calculated and net present value of these cash flows are calculated with the discount rate of 14%. . is higher than health and fitness complex, therefore the management should invest in opening a retail store than the health and fitness complex as it has higher NPV and projects with higher NPV should be accepted (Jensen, 2001).

JUSTIFICATION ABOUT THE METHOD USED TO EVALUATE THE PROJECT The management has used Net Present Value method to evaluate whether the project is feasible or not. Although there are different project appraisal techniques such as Accenting Rate of Return (ARR), Payback Period, Profitability Index, Benefit to Cost Ratio (BCR), Internal Rate of Return and discounted payback period etc. However, the report discusses two of these techniques; ARR ad Profitability Index and compares these two techniques with NPV and justifies why NPV is a good method used to evaluate the feasibility of the project.

NPV and Accounting Rate of Return Accounting Rate of Return (ARR) is the average return that the project would yield throughout its time period (Gitman, 2003). It can be calculated using the formula below: By using the above formula, ARR of the project is 27.24% It is better to use NPV than Accounting Rate of Return (ARR) as the NPV discounts the future cash flows whereas the ARR does not consider the time value of money. Therefore it is better for the management to use NPV as it will show the real value or worth of the project by considering the discount rate and even inflation rate but these rates are not considered by using the ARR.

NPV and Profitability Index The other method that has been used to evaluate the feasibility of the project is the profitability index. Profitability index is calculated by following formula: The formula shows that profitability index considers the time value of money which accounting rate of return does not. Therefore it

• Accounting Rate of Return (ARR)
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Business Mathematics MAT402

Course information, course learning outcomes.

At the end of the course, students should be able to:

Describe the concepts and mathematical terms encountered in business, finance, investment and income tax assessment. ( C2 )

Solve basic mathematical problems in the specific area of business, finance, investment and income tax assessment. ( C3 )

Evaluate the combination of concepts and mathematical terms involved in financing business, providing loan, installment purchase, trading or retailing. ( C6 )

Course Description

The course is primarily designed to develop the mathematical knowledge needed by the students to meet the demands of business operation. It is to provide a solid coverage of the most basic and frequently occurring business situations.

Syllabus Content

• Introduction to sequence
• Arithmetic sequence
• Finding the nth term and the sum of the first n terms
• Geometric sequence
• Introduction to interest
• Basic Islamic banking concept
• Comparison between conventional and Islamic banking
• Simple interest formula
• Simple amount formula
• Exact time and approximate time
• Ordinary simple interest and exact simple interest
• Banker’s Rule
• Present Value
• Introduction to bank discount
• Introduction to promissory note
• Simple interest rate equivalent to bank discount rate
• Time value of money
• Introduction to compound interest
• Important terms use in compound interest
• Compound interest formula
• Introduction to annuity and types of annuities
• Future value of ordinary annuity certain
• Present value of ordinary annuity certain
• Solving for R and n
• Introduction to installment purchase
• Interest based on original balance
• Interest based on reducing balance – constant ratio formula
• Unpaid principal balance using Rule of 78
• Introduction to trade discount
• Net price formula
• Chain discount
• Single discount equivalent to chain discount
• Cash discount
• Cost, selling price, profit, loss
• Mark up and mark down
• Profit and loss: Gross profit, net profit and breakeven price
• Trade discount & Mathematics of retailing
• Introduction to depreciation
• Straight line method
• Declining balance method
• Introduction to Income tax
• Deductions allowed
• Taxable income
• Tax rate schedule
• Tax assessment for individual who is single
• Tax assessment for individual who is married – separate and combine assessment

Transferable Skills

Demonstrate ability to identify and articulate self skills, knowledge and understanding confidently and in a variety of contexts. -Demonstrate ability to investigate problems and provide effective solutions.

Demonstrate ability to analyse issues/problems from multiple angles and make suggestions.

Course Assessment

Final examination – One 3-hour paper : 60% Course Work (Continuous assessments) : 40% - Test (3) : 30% - Quizzes (3) : 6% - Assignments (2) : 4%

Recommended Text

• Lau Too Kya,Phang Yook Ngor,Wee Kok Kiang, Business Mathematics for UiTM, 4rd, Oxford Fajar Sdn. Bhd, 2012, ISBN: 9789676571601
• Paul Lau Ngee Kiong, Business Mathematics, UiTM Press, 2013, ISBN: 9789673634446
• Gary Clendenen,Stanley A. Salzman, Business Mathematics, 13th, Pearson College Division, 2014, ISBN: 9780321955050
• James Deitz,James Southam, Contemporary Business Mathematics for Colleges, 16th, Cengage Learning, 2012, ISBN: 9781111821326
• Eugene Don,Joel Lerner, Schaum’s Outline of Basic Business Mathematics, 2ed, 2nd, McGraw-Hill, 2009, ISBN:9780071611589

Assessment Evidence

Quiz 1 (2%) Test 1 (10%)

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• Develop models to assess the financial impact of sustainability initiatives and eco-friendly practices on a company’s bottom line
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