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## BAC6020 - Capital Budgeting and Investment Analysis Techniques

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### QUESTION 1.

Given Information

 Particulars Amount (In £) Initial Capital Investment £ 600000 Cashflow Year 1 £ 300000 Cashflow Year 2 £ 300000 Cashflow Year 3 £ 100000

#### PART A: Payback Period (PBP):

It is a tool used to evaluate an investment proposal. It helps in determining the period required to cover the entire cost of initial investment from the cashflows generated from investments. Shorter the period more ludicrous an investment proposal as money is invested for a shorter duration of time. It is relatively simple and easy to understand and gives a rough idea about the investment proposal. Suitable for companies with a weaker liquidity position.

>1 + Cf2 + Cf3 + …… + Cft in year t

 Year Cashflow Cumulative Cashflow Initial Investment £ (600000) £ (600000) 1 £ 300000 £ (300000) 2 £ 300000 0 3 £ 100000 £ 100000

As in the second year, the initial investment is fully recovered and there is zero profit. it is termed the payback period. Thus, the Payback period is of 2 years.

#### PART B - Net Present Value ( NPV )

It is another important capital budgeting concept that gives equal weightage to all Cashflows. As money today is more than money tomorrow, here all the future cash flows from an investment proposal is discounted at a required rate. The required rate varies according to the time and risk factors associated with the cash flow. It is used to determine the profitability of an investment proposal.( Chan, K., & Rate, E. A. I. (2020)).

>1 + Cf2 + Cf3  + …………………...….. – Z0

(1+ r) (1+r)^2 ( 1+r)^3

Cf : Cashflows

R : time period

Z0 : Initial Investment

Cost of>

 Year Cash flows Discounting Factor Product Initial Investment £ (600000) 1 £ (600000) 1 £ 300000 0.925925926 £ 277778 2 £ 300000 0.85733882 £ 257202 3 £ 100000 0.793832241 £ 79383 Net Present Value £ 14363

#### PART C- Internal Rate of Return ( IRR ):

is a valuation metric used to evaluate the profitability of an investment proposal. IRR is the discount rate at which the net present value from all future operations is becomes zero. Generally, the higher the internal rate of return better the investment proposal. It is used to rank various proposals with the proposal having the highest IRR is termed the best. However, IRR doesn’t account for the changes in the risk and thus should not be used for the long term. The formula used is the same as we use in the case of Net Present Value, but here we equate it to zero. (Santandrea, M., Sironi, A., Grassi, L., & Giorgino, M. (2017))

= Cf1 + Cf2 + Cf3  + …………………...….. – Z0

(1+ r) (1+r)^2 ( 1+r)^3

Cf : Cashflows

R : time period

Z0 : Initial Investment

 Years Cash Flows Initial £ (600000) 1 £ 300000 2 £ 300000 3 £100000

Internal Rate of Return – 10%

#### PART D- Discounted payback period:

It helps in identifying the period of time after which we will be able to receive our initial investment. This metric incorporates the concept of the time value of money, thus, giving equal weightage to all the future cash flows. Shorter the payback period better the investment proposal as money will be invested for a shorter period of time.

Investment>1 + Cf2 + Cf3  + …………………...….. + Cft

(1+ r) (1+r)^2 ( 1+r)^3 ( 1+r )^t

 Discounted Payback Period Assumed Rate 8% Years Cashflows Discounting factor Product Cumulative cashflows Initial Investment £ (600000) 1 £ (600000)0 £ (600000) £ 300000 0.925925926 £277778 £ (322222) ) £ 300000 0.85733882 £257202 £ (65021) £ 100000 0.793832241 £ 79383 £ 14363

Discounted Payback year + (Remaining Amount to be recovered ) / Annual Income

For next year

Discounted Payback + 65021 />

Thus, the discounted payback period for Project Rainbowwhich 2.81 years

#### PART E - The payback period

The payback period for the project is of 2 years and the discounted payback period is of 2.81 years. If the company has a weaker liquidity position and does not want the risks associated with long-term investment project Rainbowwhich is a viable investment opportunity. The project has a Net Present Value of £ 14363 and has an Internal Rate of return of 10% which is decent. Due to the shorter time period, the risk associated is a lot less likely during the period of time. Thus, the IRR value becomes much more reliable. Thus, in all the projects Rainbowwhich is viable and should be accepted

#### PART F - Payback period method

 Merits Demerits It is simple and easy to understand. It requires few inputs and is relatively easy to calculate. It doesn’t discount the cash flows in the future to its present value. As it is easy, the managers can get a rough idea about a project which helps in making quick decisions It doesn’t take the profitability of the project into account. Cash flows may reduce or even stop after the payback period. It gives importance to the speedy recovery of investments. Thus helpful for companies with weak liquidity positions. It does not attempt to measure the rate of return. The rate of return is an important measure used by the investor to evaluate an investment proposal.

Net Present Value

 Merits Demerits It considers the concept of the time value of money. Thus, gives equal weightage to all the cash flows. Assumptions about the required rate of return have to be made to calculate NPV. Slight changes to it can significantly affect the final value It factors in the risk of the project by giving the flexibility to assume the discount rate. It neglects the hidden costs incurred for the project. This sometimes can be very high which necessitates its inclusion. It helps in determining the actual profitability of the project. Two investment proposal of different size cannot be compared using this method. It takes all the cash flows of a project into consideration while estimating the net present value of a project. This method ignores sunk cost while determining the value. The risk for an investment can change with the passage of timing affecting the net present value.

Internal Rate of Return

 Merits Demerits It incorporates the concept of the time value of money by identifying the rate through discounting future cash flows even or uneven This concept ignores futures costs that may be incurred while generating cash flows. There is no need to pre-determine the required rate of return thus eliminates the risk of misappropriation. It makes an implicit assumption that the future cash flows can be reinvested at the internal rate of return which is not practical. Various investment proposals can easily be ranked as it provides us with percentage return. If there are two projects varying in the amount of capital being invested generally the larger project is undervalued It gives more importance to the profitability of the project. The calculations are a bit tedious for an average person who wants to use this method

Discounted Pay back

 Merits Demerits It incorporates the concept of the time value of money. Thus, giving equal weightage to all the future cash flows. This method fails to determine whether the project will increase the firm’s value or not It gives importance to the speedy recovery of investments. Thus, helpful for companies with weak liquidity positions. It ignores the calculation beyond the payback period. The cash flows may reduce or even stop after payback The concept behind the method is easy to understand. There is a definite standard as to how short the payback period should be to accept a proposal

### QUESTION 2.

Given information:

 Particulars Value Invested Amoumt £ 1000 Time Period 3 years Rate of return 6%

#### PART A -Effective annual rate ( EAR ):

It refers to the annual rate of interest received on the invested amount after taking the compounding effect into considerations it provides us with a better understanding of the returns being derived on the amount invested and helps us in decision making.

Formula;

Effective annual + (nominal rate/number of compounding periods)}^number . of compounding period]- 1

Here number of compounding periods *> 1 + (6/100*36)}^36] -1

>

Effective annual rate is 6.178%

#### PART B. - Value of the investmen

Value of the investment after a period of 3 years (Santos Júnior, M. (2019))

R/100*12)^t

Where P : Principle Amount Invested

R: Nominate rate of interest

t: time period

>>

Value of investment after the period of 3 years will be £ 1196.68

#### PART C- final amount

Principle required to be invested so that the final amount is equal to £ 4000. Here the interest is compounded semi annually

Formula,

R/100*2)^t

Where P : Principle Amount Invested

R: Nominate rate of interest

t: time period

>>

Thus, an amount of £ 3350 is required to be invested for initially for the resultant amount be £ 4000

#### PART D- Interest rate

The interest rate required for the amount invested such that the final amount received is £ 2000. Interest being compounded annually.

Formula,

R/100)^t

Where P : Principle Amount Invested

R: Nominate rate of interest

t: time period

^3>

Thus, interest rateof 25.99% is for the amount to double itself after the period of 3 years.

#### PART E- Nominal interest rate

Time period after which the amount invested will double itself at a nominal interest rate of 12% p.a. Interest is compounded quarterly

Formula,

R/100*4)^t

Where P : Principle Amount Invested

R: Nominate rate of interest

t: time period

(100*4))^(t*4)>

Thus, the amount will be double itself if the amount is invested for 5.86 years.

### QUESTION 3.)

#### PART A - Wealth Maximization

This means maximizing the net present values of the course of actions taken by a firm i.e., the difference between the present value of the benefits and costs of a course of action. The Wealth created is reflected in the market value of the firm. Thus, wealth maximizations also mean maximizing the market value of the firm. (Khan, Z. A., &Hussanie, I. (2018).)

Profit Maximization: means deriving maximum return on investment through optimal utilization of resources. Here profits provide the rationale behind decision making and are used as the basis for measuring the performance of the company.

Wealth maximization is better than profit maximization because:

• Wealth maximization is based on cash flows and not on profits. Assumptions are required while determining the profits of an organization and therefore, Cashflows are much more definitive than profits. Thus, Wealth Maximization helps in eliminating any ambiguity associated with the accounting profits and thus the is more exact.
• Profit Maximization is a narrow concept as when profits are used to measure the performance managers may be inclined to make the decision that may improve the profitability in the short term at the cost of the long-term sustainability of an organization. However, wealth maximization takes a long-term view and takes actions that may not be profitable but will improve the value and sustainability of the business concern in long term.
• The wealth Maximization concept considers time. As it discounts the future cash flows of the firm. Farther the cash flows the later the money will be available to use thus, it has a lower value. Profit maximization doesn’t consider the time factor.
• Profit Maximization only involves the evaluation of income and all the other stakeholders are ignored. Wealth Maximization gives importance to all the stakeholders, as the value of the firm is dependent on its stakeholders
• The Profit maximization concept is ambiguous as to which type of profits should be increased, long term, short term, operation profit, net profit, gross profit, etc. there is no such ambiguity in wealth maximization as the objective is to increase the market value of the firm
• The wealth maximization concept also incorporates the risk and uncertainty factors. As the future cash flows have some risk associated with them, the same is adjusted while determining the discounting rate. Higher the risk higher will be the discounting rate and vice versa. Profit maximization doesn’t incorporate risk factors.
• Shareholders are the owners of the company who provide funds undertaking maximum risk in expectation for higher returns. The concept of wealth maximization meets their demand as the main aim is to improve the value or wealth of the shareholder.
• Wealth maximization ensures the economic interest of the society as the business concerns that take society under consideration have higher value and are sustainable for a longer period of time. Profit maximization is only concerned with improving profits which might involve certain decisions that are not in line with societal values. Such decisions though profitable in short term can have an adverse impact in long term for the business concern.

#### PART B - Agency Problem:

An agent is a person who is entrusted with the powers to act in the best interest of its principle and sometimes, the interests of agents differ from that of its principle. This inherent conflict of interest between the two parties leads to agency problems. (Panda, B., &Leepsa, N. M. (2017).)

In the above case study, the nature of the agency problem is of

Management Vs Stockholders: here, the stockholders of the company appoint management to run the operation of the business enterprise with the purpose of maximization of the stockholder’s wealth. And management is sometimes faced with decisions that will be beneficial for them but maybe against the interest of stockholders. Thus, agency problem

In the above case, the CEO has to decide whether to buy a company, Emerald PLC. If the CEO is to accept the proposal, then it will lead to improvement in his perquisites and prestige as then he will be CEO of a much larger company. On the other hand, it will reduce the wealth of the stockholders as the company is overvalued and they will be paying the extra amount which will give no value addition to the stockholders

Unless the company acquired is its competitor and may give enough benefit to the host company to cover the extra amount bring paid for acquiring the company. The CEO should keep aside his personal interest and act in favor of the interest of its stockholders as he has been appointed for the very purpose and it is his ethical responsibility that in case of any conflict arising during the decision-making process, he should act in a way that is always beneficial for the company’s stockholders.

Here, the CEO should reject the proposal as it will lead to a reduction in the share value of stockholders. Also, such decisions may have a positive impact on the CEO in short term, but will negatively affect the benefits of stockholders in long term.

Reference

• Hesser, F., Wohner, B., Meints, T., Stern, T., & Windsperger, A. (2017). Integration of LCA in R&D by applying the concept of payback period: case study of a modified multilayer wood parquet. The International Journal of Life Cycle Assessment22(3), 307-316.
• Chan, K., & Rate, E. A. I. (2020). & 6 The Time Value of Money. Financial Management.
• Santos Júnior, V. B. D., Dias, M. A., & Bosch, M. (2019). A Study and Research Path for the Study of Simple and Compound Interest Notions. Bolema: Boletim de EducaçãoMatemática33(63), 327-347.
• Panda, B., &Leepsa, N. M. (2017). Agency theory: Review of theory and evidence on problems and perspectives. Indian Journal of Corporate Governance10(1), 74-95.
• Santandrea, M., Sironi, A., Grassi, L., & Giorgino, M. (2017). Concentration risk and internal rate of return: Evidence from the infrastructure equity market. International Journal of Project Management35(3), 241-251.
• Khan, Z. A., &Hussanie, I. (2018). Shareholders wealth maximization: Objective of financial management revisited. International Journal of Enhanced Research in Management & Computer Applications7(3), 739-741.
• Balcan, M. F., Sandholm, T., &Vitercik, E. (2018, June). A general theory of sample complexity for multi-item profit maximization. In Proceedings of the 2018 ACM Conference on Economics and Computation(pp. 173-174).
• Ahmadi, M. R. (2018). Cutoff grade optimization is based on maximizing net present value using a computer model. Journal of Sustainable Mining17(2), 68-75.
• Ahmadi, M. R. (2018). Cutoff grade optimization is based on maximizing net present value using a computer model. Journal of Sustainable Mining17(2), 68-75.
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