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Executive Report for Peaches plc. -about Strategic Option Choosing       1.3 Net Present Value   The third investment appraisal method is NPV which reduces the value of a project’s future cash flows by multiplying by the appropriate yearly factors at the required rate of return (Levy and Sarnat, 1986). Since the discount rate is 12.5% which is so uncommon, therefore, I decided to calculate the discount rate through formula (see appendix 1). Here is a table indicates three option’s NPV.       Table 10: Calculation of NPV for Three Options

 

 

Strategic Option 1A

Strategic Option 1B

Strategic Option 1C

Year

Discount rate (12.5%)

Cash flow £m

Present value £m

Cash flow £m

Present value £m

Cash flow £m

Present value £m

1

0.889

(0.7)

(0.622)

(1.5)

(1.334)

2.5

2.223

2

0.790

3.1

2.449

2.3

1.817

4

3.160

3

0.702

7.6

5.335

6.8

4.774

4

2.808

4

0.624

9.6

5.990

8.8

5.491

4

2.496

5

0.555

11.6

6.438

10.8

5.994

3

1.665

6

0.493

11.6

5.719

10.8

5.324

3

1.479

7

0.438

9.6

4.205

8.8

3.854

3

1.314

8

0.390

7.6

2.960

6.8

2.652

2

0.780

9

0.346

5.6

1.938

4.8

1.661

2

0.692

10

0.308

7.8

2.402

4

1.232

2.2

0.678

Total

 

 

36.814

 

31.465

 

17.295

Less initial outlays

 

 

(17.2)

 

(13.6)

 

(5.2)

Net present value

 

 

19.614

 

17.865

 

12.095



1.4 Internal Rate of Return   The last investment appraisal method, which is closely related to the NVP method, called internal rate of return (IRR) is calculate the discount rate that applied to its future cash flows to produce and NPV of precisely zero (Mclaney and Atrill, 2012). Here are three tables which present the IRR for three strategic options separately. The IRR equal to:   Lower rate + ()       Table 11: Calculation of IRR for Strategic Option 1A

Strategic Option 1A

 

 

Discount rate 12.5%

Discount rate 35%

Year

Cash flow £m

Discount rate (12.5%)

Present value £m

Discount rate (30%)

Present value £m

1

(0.7)

0.889

(0.622)

0.7407

(0.518)

2

3.1

0.790

2.449

0.5487

1.701

3

7.6

0.702

5.335

0.4064

3.088

4

9.6

0.624

5.990

0.3011

2.891

5

11.6

0.555

6.438

0.2230

2.587

6

11.6

0.493

5.719

0.1652

1.916

7

9.6

0.438

4.205

0.1224

1.175

8

7.6

0.390

2.96

0.0906

0.689

9

5.6

0.346

1.938

0.0671

0.376

10

7.8

0.308

2.402

0.0497

0.388

Total

 

 

36.814

 

14.293

Less initial outlays

 

 

(17.2)

 

(17.2)

Net present value

 

 

19.614

 

(2.907)


The difference between the two net present values is £19.614-(-2.907) = £22.521 while the difference between the two discount rates is 22.5%. It can get the equation of IRR in strategic option 1A:   12.5% + (35%-12.5%) =12.5%+19.6%=32.1%       Table 12: Calculation of IRR for Strategic Option 1B

Strategic Option 1B

 

 

Discount rate 12.5%

Discount rate 35%

Year

Cash flow £m

Discount rate (12.5%)

Present value £m

Discount rate (35)

Present value £m

1

(1.5)

0.889

(1.334)

0.7407

(1.111)

2

2.3

0.790

1.817

0.5487

1.262

3

6.8

0.702

4.774

0.4064

2.764

4

8.8

0.624

5.491

0.3011

2.650

5

10.8

0.555

5.994

0.2230

2.408

6

10.8

0.493

5.324

0.1652

1.784

7

8.8

0.438

3.854

0.1224

1.077

8

6.8

0.390

2.652

0.0906

0.616

9

4.8

0.346

1.661

0.0671

0.322

10

4

0.308

1.232

0.0497

0.199

Total

 

 

31.465

 

11.971

Less initial outlays

 

 

(13.6)

 

(13.6)

Net present value

 

 

17.865

 

(1.629)


The difference between the two net present values is £17.865-(-£1.629) = £19.494 while the difference between the two discount rates is 22.5%. It can get the equation of IRR in strategic option 1B:   12.5% +  (35%-12.5%) = 12.5% + 20.6% = 33.1%       Table 13: Calculation of IRR for Strategic Option 1C

Strategic Option 1C

 

 

Discount rate 12.5%

Discount rate 70%

Year

Cash flow £m

Discount rate (12.5%)

Present value £m

Discount rate (70%)

Present value £m

1

2.5

0.889

2.223

0.5882

1.471

2

4

0.790

3.160

0.3460

1.384

3

4

0.702

2.808

0.2035

0.814

4

4

0.624

2.496

0.1197

0.479

5

3

0.555

1.665

0.0704

0.211

6

3

0.493

1.479

0.0414

0.124

7

3

0.438

1.314

0.0244

0.073

8

2

0.390

0.780

0.0143

0.029

9

2

0.346

0.692

0.0084

0.017

10

2.2

0.308

0.678

0.0050

0.011

Total

 

 

17.295

 

4.613

Less initial outlays

 

 

(5.2)

 

(5.2)

Net present value

 

 

12.095

 

(0.587)


The difference between the two net present values is £12.095-(-£0.587) = £12.682 while the difference between the two discount rates is 57.5%. It can get the equation of IRR in strategic option 1C:   12.5% +  (70% - 12.5%) =12.5% + 54.8% = 67.3%