Calculation Of Simple And Compound Interest

Calculations of Present Cash Flow

In case of 6% rate of return, the investment of Scotty would be $ 31,635.33. the calculations of the investment is as follows:

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Calculation of present cash flow

Interest rate=

6%

Year

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Cash Flows

Present value factor

Present cash flow

1

 $            3,000

0.943

 $         3,180.000

2

 $            6,500

0.890

 $         7,303.400

3

 $               280

0.840

 $            333.484

4

 $            1,400

0.792

 $         1,767.468

5

 $            3,000

0.747

 $         4,014.677

6

 $                 –   

0.705

 $                     –    

7

 $          10,000

0.665

 $       15,036.303

Present cash flow

 $       31,635.332

If the Jarrad Waite take the home loan than the total monthly repayment amount for 30 years would be $ 6992.79.

Loan amount

1800000

Term (annual)

360

Interest rate

5%

annual nominal rate

0.004166667

EMI

$9,662.79

According to Ben’s will, the total investment amount after the 65thbirthday would be $3,235,410.98.

Calculation of total value at the age of 65

Term

Interest rate

Value at the age of 65

Deposit amount annual

1500

420

7%

$2,701,581.90

Single deposit amount

50000

35

7%

$533,829.07

Total value at the age of 65

$3,235,410.98

After the retirement, Ben wish to get pension amount as well as he want to get $ 2,00,00 at the age of 90 years. So the pension amount would be $ $225,369.87.

After the age of 65, invetsor wish to get annual pension as well $ 2,00,000 at the age of 90. so,

The present value of $ 2,00,000

$59,060.55

The balance amount = 32,325,411 – $ 56,061 =

$3,176,350.42

Calculation of annual pension for 25 years

Present value

$3,176,350.42

Term

25

Interest rate

5%

Pension amt

$225,369.87

Question 2:

Part a:

%

Year 1 to 4 = 4.5%

Year 5-6= 6%

Year 7-10 = 7%

CFi

2500

2500

2700

-1500

7000

10000

Year

1

2

3

4

5

6

7

8

9

10

%

Year 1 to 4 = 4.5%

Year 5-6= 6%

Year 7-10 = 7%

CFi

2500

2500

2700

-1500

7000

10000

Year

1

2

3

4

5

6

7

8

9

10

P.V. of cash flow

2392.34

0

2190.74

0

2017.6

-1057.44

0

0

3807.54

5083.49

Accumulated value

$ 4583.09

$ 960.15

$ 8891.03

Total value

$ 14,434.27

Taxation amount  is the mandatory financial charge which is levied by the government upon the individuals and the corporate in order to fund various expenditures and manage the economical performance of the business. The conversation (2018) explains that Australian government charges 30% from the corporate against their profit. It has been argued by AFR (2018) that the Australian government charges higher taxation than various other countries. In the list of corporate tax rates, it has been measured that the Australian taxation rate is on 5th number. It explains that the Australian government’s taxation rate is higher and it must be reduced by the Australian government in order to improve the economical performance of the business.

However, the News (2018) has argued that the Australian government offer the franking dividend to the shareholders of the company which basically manages the taxation rate of the country. The overall tax charges of the business reduce due to it. thus, it has concluded by them that the taxation rate of Australia is quite perfect and Australian government does not require to make any change into it (Saad, 2014). The changes into the Australian corporate taxation rate would lead to the business towards loss.  

It has been stated by The Australian (2018) into his report that the taxation rate of the Australian government is competitive in terms of economical performance as the company needs huge fund to manage the position as well as franking dividend policy offers a good market to FDIs. On the basis of the “The Conversation (2018)” article and the argument of various economist, it has been concluded that the Australian taxation rate is quite better and the country is not required to make any change into the policy. The changes into the Australian taxation rate would lead to the business towards less revenue which would impact on the economical position of the business.

The Australian corporate taxation policy has been set in such a way that the shareholders of the country don’t have to bear the burden of higher taxation. The total deducted tax amount is given back to the shareholders which makes the corporate system more impressive and due to which the FDIs feel attracted. However, there are various other factors as well which is considered by the FDIs before entering into the market to measure the overall position of the business (Henry, Harmer, Piggott, Ridout & Smith, 2009).

The Australian dividend imputation system explains that all the tax payers of the Australia which are either imputed or attributed, to the shareholder by a path of tax credit to make the reduction in the total distribution of income tax payable. The imputation system of the Australian government effectively charges the tax amount on the company’s profit at the average tax rates of the shareholders.

On the basis of the “The Conversation (2018)” article and the argument of various economist, it has been concluded that the Australian taxation rate is enough competitive in order to manage the economic performance of the business. Further, it is recommended that the Australian government is not required to make any change into the policy. The changes into the Australian taxation rate would lead to the business towards less revenue which would impact on the economical position of the business. Lastly, it has been measured that the corporate taxation structure of the Australian government is efficient which manages the tax payment and income tax payable of the business. 

Calculation of monthly return

Stock price

Return

Date

WOW

WES

MKT

WOW

WES

MKT

31/08/2017

25.21

41.33

5744.9

30/09/2017

25.88

41.8

5976.4

2.66%

1.14%

4.03%

31/10/2017

26.91

43.92

6057.2

3.98%

5.07%

1.35%

30/11/2017

27.3

44.42

6167.3

1.45%

1.14%

1.82%

31/12/2017

26.95

43.81

6146.5

-1.28%

-1.37%

-0.34%

31/01/2018

27.61

41.33

6117.3

2.45%

-5.66%

-0.48%

28/02/2018

26.29

41.56

5868.9

-4.78%

0.56%

-4.06%

31/03/2018

27.86

43.77

6071.6

5.97%

5.32%

3.45%

30/04/2018

28.46

45.56

6123.5

2.15%

4.09%

0.85%

31/05/2018

30.52

49.36

6289.7

7.24%

8.34%

2.71%

30/06/2018

30.09

49.46

6366.2

-1.41%

0.20%

1.22%

31/07/2018

28.8

51.49

6357.9

-4.29%

4.10%

-0.13%

25/08/2018

28.8

51.49

6357.9

0.00%

0.00%

0.00%

Part b:

Calculation of average monthly return

Stock price

Return

Date

WOW

WES

MKT

WOW

WES

MKT

31/08/2017

25.21

41.33

5744.9

30/09/2017

25.88

41.8

5976.4

2.66%

1.14%

4.03%

31/10/2017

26.91

43.92

6057.2

3.98%

5.07%

1.35%

30/11/2017

27.3

44.42

6167.3

1.45%

1.14%

1.82%

31/12/2017

26.95

43.81

6146.5

-1.28%

-1.37%

-0.34%

31/01/2018

27.61

41.33

6117.3

2.45%

-5.66%

-0.48%

28/02/2018

26.29

41.56

5868.9

-4.78%

0.56%

-4.06%

31/03/2018

27.86

43.77

6071.6

5.97%

5.32%

3.45%

30/04/2018

28.46

45.56

6123.5

2.15%

4.09%

0.85%

31/05/2018

30.52

49.36

6289.7

7.24%

8.34%

2.71%

30/06/2018

30.09

49.46

6366.2

-1.41%

0.20%

1.22%

31/07/2018

28.8

51.49

6357.9

-4.29%

4.10%

-0.13%

25/08/2018

28.8

51.49

6357.9

0.00%

0.00%

0.00%

Average monthly return

1.18%

1.91%

0.87%

 Part c:

Calculation of annual holding return

Stock price

Return

Date

WOW

WES

MKT

WOW

WES

MKT

31/08/2017

25.21

41.33

5744.9

30/09/2017

25.88

41.8

5976.4

2.66%

1.14%

4.03%

31/10/2017

26.91

43.92

6057.2

3.98%

5.07%

1.35%

30/11/2017

27.3

44.42

6167.3

1.45%

1.14%

1.82%

31/12/2017

26.95

43.81

6146.5

-1.28%

-1.37%

-0.34%

31/01/2018

27.61

41.33

6117.3

2.45%

-5.66%

-0.48%

28/02/2018

26.29

41.56

5868.9

-4.78%

0.56%

-4.06%

31/03/2018

27.86

43.77

6071.6

5.97%

5.32%

3.45%

30/04/2018

28.46

45.56

6123.5

2.15%

4.09%

0.85%

31/05/2018

30.52

49.36

6289.7

7.24%

8.34%

2.71%

30/06/2018

30.09

49.46

6366.2

-1.41%

0.20%

1.22%

31/07/2018

28.8

51.49

6357.9

-4.29%

4.10%

-0.13%

25/08/2018

28.8

51.49

6357.9

0.00%

0.00%

0.00%

Average monthly return

1.18%

1.91%

0.87%

Annualized holding return (1+Monthly return)^12-1

15.09%

25.49%

10.95%

Part d:

Calculation of Standard deviation

Stock price

Return

Date

WOW

WES

MKT

WOW

WES

MKT

31/08/2017

25.21

41.33

5744.9

30/09/2017

25.88

41.8

5976.4

2.66%

1.14%

4.03%

31/10/2017

26.91

43.92

6057.2

3.98%

5.07%

1.35%

30/11/2017

27.3

44.42

6167.3

1.45%

1.14%

1.82%

31/12/2017

26.95

43.81

6146.5

-1.28%

-1.37%

-0.34%

31/01/2018

27.61

41.33

6117.3

2.45%

-5.66%

-0.48%

28/02/2018

26.29

41.56

5868.9

-4.78%

0.56%

-4.06%

31/03/2018

27.86

43.77

6071.6

5.97%

5.32%

3.45%

30/04/2018

28.46

45.56

6123.5

2.15%

4.09%

0.85%

31/05/2018

30.52

49.36

6289.7

7.24%

8.34%

2.71%

30/06/2018

30.09

49.46

6366.2

-1.41%

0.20%

1.22%

31/07/2018

28.8

51.49

6357.9

-4.29%

4.10%

-0.13%

25/08/2018

28.8

51.49

6357.9

0.00%

0.00%

0.00%

Average monthly return

1.18%

1.91%

0.87%

Annualized holding return

15.09%

25.49%

10.95%

Standard deviation

0.029717

0.030026

0.020986

Part e:

WOW

WES

MKT

Annualized holding return

15.09%

25.49%

10.95%

Standard deviation

2.97%

3.00%

2.10%

Part f:

WOW

WES

Calculation of cost of equity (CAPM)

Calculation of cost of equity (CAPM)

Risk free rate

2.00%

Risk free rate

2.00%

RM

5.75%

RM

5.75%

Beta

0.770

Beta

0.810

Required rate of return

4.89%

Required rate of return

5.04%

Part g:

WOW

WES

Beta

0.770

0.810

Return

0.049

0.050

Part h:

Particulars

WOW

WES

Weightage

30%

70%

Beta

0.77

0.81

Portfolio Beta

Portfolio Beta

0.80

Market Risk Premium

5.75%

Risk Free Rate

2.00%

Portfolio Expected Return

6.59%

Part i: 

Through the evaluation on Woolworths and Wesfarmers stock price, it has been concluded that the return from both the stocks are positive and depicting about a great performance of both the stocks. The CAPM calculations brief that the return from WES stocks are higher along with the higher risk. In context with the portfolio, it has been found that the risk of the portfolio is average as well as the return from the portfolio is higher than the individual stocks. So, investors are recommended to invest in the portfolio rather than the individual securities.

References:

AFR. (2018). Current Australian tax cut debate a tale of two populisms. [online]. Retrieved from: https://www.afr.com/opinion/columnists/current-australian-tax-cut-debate-a-tale-of-two-populisms-20180702-h124oh

Henry, K., Harmer, J., Piggott, J., Ridout, H., & Smith, G. (2009). Australia’s future tax system. Canberra, Commonwealth Treasury.

News. (2018). Fact check: Will Australia be uncompetitive on company tax if the Government’s reforms fail?. [online]. Retrieved from: https://www.abc.net.au/news/2017-10-13/fact-check-wii-australia-be-uncompetitive-on-company-tax/9033940

Saad, N. (2014). Tax knowledge, tax complexity and tax compliance: Taxpayers’ view. Procedia-Social and Behavioral Sciences, 3 (ii), 109, 1069-1075.

The Australian. (2018). No, the rich don’t pay a ‘fair share’ of tax. They pay all of it? [online]. Retrieved from: https://www.theaustralian.com.au/national-affairs/opinion/no-the-rich-dont-pay-a-fair-share-of-tax-they-pay-all-of-it/news-story/75bb6cf38d551cc949467103ab474aa8

The conversation. (2018). FactCheck: is Australia’s corporate tax rate not competitive with the rest of the region?. [online]. Retrieved from: https://theconversation.com/factcheck-is-australias-corporate-tax-rate-not-competitive-with-the-rest-of-the-region-37226