Math/Physic/Economic/Statistic Problems

Math/Physic/Economic/Statistic Problems

Math/Physic/Economic/Statistic Problems

 

 

CARDIFF SCHOOL OF MANAGEMENT

_____________________________________________________________

 

Module Title:                        Financial Reporting

 

Module Number:                  BAC5001

_____________________________________________________________

 

Examination Period:          

Examination Duration:       2 hours (plus 15 minutes reading time)

_____________________________________________________________

 

INSTRUCTIONS TO CANDIDATES:

 

  1. This is a closed book examination.

 

  1. Non-programmable calculators are allowed.

 

  1. You must answer all three

 

  1. Mark allocation is shown on the questions.

Total marks available are 75.

 

 

QUESTION 1

 

The following summarised Statements of Financial Position relate to the House Group of companies as at 31st December 2020.

 

  Terrace Plc   Bungalow Ltd
       
Non-Current Assets $’000   $’000
Plant, Property and Equipment 85,500   28,000
Investment in Bungalow Ltd 21,000  
       
Current Assets      
Inventory 10,000   7,400
Receivables 8,600            6,200
Cash         4,300   750
Total Assets 129,400   42,350
       
Equity and Liabilities      
Equity      
Share Capital ($1par) 60,000   15,000
Retained Earnings 62,600   23,000
  122,600   38,000
       
Current Liabilities      
Payables 6,800   4,350
       
Total Equity and Liabilities 129,400   42,350

 

Additional Information

 

  1. Terrace Plc purchased 12million of the shares in Bungalow Ltd on 1st January 2020, when Bungalow Ltd’s retained earnings balance was $9,000,000.

 

  1. At the 31st December 2020 the following intergroup debt was still outstanding: Bungalow Ltd owed Terrace Plc $200,000.

 

  1. During the year, Bungalow Ltd sold goods to Terrace plc for $1,500,000 with profits being $800,000. Half of these items were still in Terrace plc’s end of year inventory (unsold).

 

  1. An impairment loss on goodwill for the year to 31st December 2020 has been calculated at $150,000. This has not been reflected in the accounts.

 

  1. The House Group has the policy to value the non-controlling interest at its fair value. At the date of acquisition, the fair value of the non-controlling interest was $3.00 per share.

 

Note: Round figures to whole numbers.

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 1 (continued)

 

Required:

 

  1. a) Calculate Goodwill at carrying value on 31st December 2020.

 

Narrative Workings Answer $(000)
Consideration and NCI:    
     
     
     
Net Assets at Acquisition:    
     
     
     
     
     
Goodwill at acquisition    
     
Goodwill at carrying value    

(7 marks)

 

  1. b) Calculate the Consolidated Retained Earnings for the group as at 31st December 2020.

 

Narrative Workings Answer $(000)
     
     
     
     
     
     
     
     
     
     
     
     

(6 marks)

 

  1. c) Calculate the Non-Controlling Interest as at 31st December 2020.

 

Narrative Workings Answer $(000)
     
     
     

(2.5 marks)

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 1 (continued)

 

  1. d) Prepare the Consolidated Statement of Financial Position for the House Group as at 31st December 2020.

                                                              

Statement of Financial Position as at 31st December 2020 for the House Group

 

  Workings Answer $(000)
Assets    
Non-Current Assets    
     
     
Current Assets    
     
     
     
TOTAL ASSETS    
     
Equity and Liabilities    
Equity    
Share Capital $1 each    
Retained Earnings    
     
Non-Controlling Interests    
     
Current Liabilities    
     
TOTAL EQUITY AND LIABILITIES    

(9.5 marks)

 

 

          Total: 25 marks

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTIONS CONTINUE ON NEXT PAGE)

QUESTION 2

 

As the financial accountant for Street plc, you are responsible for the preparation of a cashflow statement for the year ended 31st March 2021.

 

The following information is available:

  1. Street plc is a recruitment agency; placing temporary staff into businesses. Street plc is a business to business company (only works with businesses).
  2. Management have decided that in order to increase sales, they would offer extended client terms to 90 days.
  3. A new booking system was purchased by Street Plc this year (as seen in NCA), to help match the clients’ needs to workers’ skills. It is thought that the new system will reduce manpower hours, as the previous system was a manual system, which took a significant amount of time.

 

Statement of Financial Position for Street plc as at 31st March

 

  2021 2020
  $’000 $’000 $’000 $’000
Non-Current Assets        
Property, Plant and Equipment

Intangible Assets

  150

85

  145

         
Current Assets        
Inventory 5   7  
Receivables 205   120  
Cash at bank   10  
    210     137
Total Assets   445   282
Equity and Liabilities        
Ordinary $1 shares 100   100  
Retained Earnings 126   97  
    226   197
Non-Current Liabilities        
Long term loan   120   50
Current Liabilities        
Payables        99   35
Total Equity and Liabilities   445   282

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 2 (continued)

 

Income Statement for Street plc for the year ended 31st March 2021

 

  $’000
Revenue 18,500)
Cost of sales (12,250)
Gross Profit 6,250)
Distribution costs (110)
Administrative expenses (950)
Operating profit 5,190)
Finance costs (12)
Profit before taxation 5,178)
Tax expense (1,200)
Profit after taxation 3,978)
   
Dividends paid in the period 3,949
  1. Non-Current Assets

 

Plant, Property and Equipment (PPE) held by Street plc are office items of property and equipment for the head-office.  During the year to 31st March 2021, office items were upgraded and as such the business disposed of some of their older items.  These pieces of equipment, which originally cost $10,000 were disposed of, resulting in a loss of $2,000.  These items had a carrying value of $5,000 at the date of disposal.

Intangible Assets refer to the new booking system.

 

  1. Payables

 

The total payables figure breaks down as follows:

 

  2021 2020
  $’000 $’000
Bank overdraft 70
Trade payables 4 16
Interest payable 10 10
Current tax payable 15 9

 

  1. Depreciation

 

The depreciation charge for the year, included in the income statement was $15,000 for PPE but it was agreed that there should be no amortisation for the intangible assets, in the year of capitalisation.

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 2 (continued)

 

Required:

 

  1. a) Calculate Net cash flow from operating activities for Street Plc as at 31st March

 

Narrative Workings Answer $
     
     
     
     
     
     
     
     
     
     
     
     
     

(8 marks)

 

  1. b) Draw up a Statement of Cashflows for Street plc, using the indirect method, in accordance with IAS7.

 

  $ $
Net cash from operating activities    
CASHFLOWS FROM INVESTING ACTIVITES               
Purchase of non-current assets    
Receipts from sale of non-current assets    
Net cash used in investing activities    
CASHFLOWS FROM FINANCING ACTIVITES

 

   
Proceeds from share issue    
Proceeds from long-term borrowing    
Dividend paid    
Net cashflows used in financing activities    
Net increase in cash and cash equivalents    
Net cash and cash equivalents at the beginning    
Net cash and cash equivalents at the end of period    

 

Workings for NCA Workings for shares Workings for Loans
     
  • marks)

 

  1. c) Using your calculations and the information available, evaluate Street plc’s cash position.

         (9 marks)

 

Total: 25 marks

QUESTION 3

 

Below is a summarised draft statement of financial position of Educare plc, a publicly listed company, as at 31st March 2021.

$’000              $’000

Non-Current Assets

PPE (note 1)                                                                                     350,000

 

Current Assets

Inventories                                                                              29,000

Receivables (note 2)                                                             65,000

Bank                                                                                           8,800

102,800

Total Assets                                                                                                  452,800

 

Equity and liabilities

Ordinary shares of $1 each                                                                       190,000

Share premium                                                                                              20,000

Revaluation reserve                                                                                                  16,000

Retained earnings- at 01/04/20                                         85,600

For year ended 31/3/21                                           53,200            138,800

                                                                                                                        364,800

 

Current liabilities (note 3)                                                               88,000

Total Equity and Liabilities                                                                          452,800

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 3 (continued)

 

The following information is relevant:

 

  1. The value of ‘PPE’ is made up of $100m land, $150m buildings and $100m machinery. Non-current assets have not been depreciated for the year ended 31st March 2021.  Educare plc has a policy for depreciation as follows:

 

  • The values in the above Statement of Financial Position are as at 1st April 2020 when the buildings had a remaining life of ten years.

 

  • Machinery is depreciated at 15% on the reducing balance basis (carrying value is included in the above statement).

 

  1. The new Finance Director discovered a material fraud perpetrated by the company’s previous Finance Director. A full audit and investigation was completed however it was noted that the Trade Receivable figure in the draft accounts included $6m that had already been paid by the said receivables.  However, it has been calculated that only $1m was for the year to 31/3/21.  Insurers have advised that none of the $6m is recoverable due to the poor systems in place at Educare plc at that time. Also the previous Finance Director can not be located.

 

  1. From calculations carried out by the new Finance Director, it was estimated that corporation tax for the year to 31/3/21 would be $10m.

 

  1. On 1st August 2020 there was a fully subscribed rights issue of one new share for every seven held at a price of $1.50 each. The proceeds of the issue have been received and the issue of the shares has been correctly accounted for in the above statement of financial position.

 

  1. Dividends were paid during the year. The first was in June 2020, where a dividend of 8 cents per share was paid.  A further dividend of 4 cents per share was paid at the end of December 2020.  Both of these dividends have already been accounted for in the above statements.                                                                                  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 3 (continued)

 

Required:

 

  1. a) Recalculate the profit for the year ended 31st March 2021.

 

Narrative Workings $’000
     
     
     
     
     
     
     
     
     
     

(6 marks)

 

  1. b) Make a Statement of Changes in Equity as at 31st March 2021.
Narrative Share

Capital

Share

Premium

Revaluation

Surplus

Retained earnings Total Equity
           
           
           
           
           
           
           
           
           
  • marks)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 3 (continued)

 

  1. c) Make a Statement of Financial Position as at 31st March 2021.

 

Statement of Financial Position as at 31st March 2021 for Educare Plc

 

  Workings Answer $(000)
Assets    
Non-Current Assets    
     
     
Current Assets    
     
     
     
     
TOTAL ASSETS    
     
Equity and Liabilities    
Equity    
     
     
     
     
     
Current Liabilities    
     
TOTAL EQUITY AND LIABILITIES    

(5 marks)

 

  1. d) With reference to the appropriate standard, discuss how you accounted for the fraud in the above statements.

(5 marks)

 

 

Total: 25 marks

 

 

 

 

 

 

—END OF PAPER—

 


Math/Physic/Economic/Statistic Problems

 

 

CARDIFF SCHOOL OF MANAGEMENT

_____________________________________________________________

 

Module Title:                        Financial Reporting

 

Module Number:                  BAC5001

_____________________________________________________________

 

Examination Period:          

Examination Duration:       2 hours (plus 15 minutes reading time)

_____________________________________________________________

 

INSTRUCTIONS TO CANDIDATES:

 

  1. This is a closed book examination.

 

  1. Non-programmable calculators are allowed.

 

  1. You must answer all three

 

  1. Mark allocation is shown on the questions.

Total marks available are 75.

 

 

QUESTION 1

 

The following summarised Statements of Financial Position relate to the House Group of companies as at 31st December 2020.

 

  Terrace Plc   Bungalow Ltd
       
Non-Current Assets $’000   $’000
Plant, Property and Equipment 85,500   28,000
Investment in Bungalow Ltd 21,000  
       
Current Assets      
Inventory 10,000   7,400
Receivables 8,600            6,200
Cash         4,300   750
Total Assets 129,400   42,350
       
Equity and Liabilities      
Equity      
Share Capital ($1par) 60,000   15,000
Retained Earnings 62,600   23,000
  122,600   38,000
       
Current Liabilities      
Payables 6,800   4,350
       
Total Equity and Liabilities 129,400   42,350

 

Additional Information

 

  1. Terrace Plc purchased 12million of the shares in Bungalow Ltd on 1st January 2020, when Bungalow Ltd’s retained earnings balance was $9,000,000.

 

  1. At the 31st December 2020 the following intergroup debt was still outstanding: Bungalow Ltd owed Terrace Plc $200,000.

 

  1. During the year, Bungalow Ltd sold goods to Terrace plc for $1,500,000 with profits being $800,000. Half of these items were still in Terrace plc’s end of year inventory (unsold).

 

  1. An impairment loss on goodwill for the year to 31st December 2020 has been calculated at $150,000. This has not been reflected in the accounts.

 

  1. The House Group has the policy to value the non-controlling interest at its fair value. At the date of acquisition, the fair value of the non-controlling interest was $3.00 per share.

 

Note: Round figures to whole numbers.

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 1 (continued)

 

Required:

 

  1. a) Calculate Goodwill at carrying value on 31st December 2020.

 

Narrative Workings Answer $(000)
Consideration and NCI:    
     
     
     
Net Assets at Acquisition:    
     
     
     
     
     
Goodwill at acquisition    
     
Goodwill at carrying value    

(7 marks)

 

  1. b) Calculate the Consolidated Retained Earnings for the group as at 31st December 2020.

 

Narrative Workings Answer $(000)
     
     
     
     
     
     
     
     
     
     
     
     

(6 marks)

 

  1. c) Calculate the Non-Controlling Interest as at 31st December 2020.

 

Narrative Workings Answer $(000)
     
     
     

(2.5 marks)

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 1 (continued)

 

  1. d) Prepare the Consolidated Statement of Financial Position for the House Group as at 31st December 2020.

                                                              

Statement of Financial Position as at 31st December 2020 for the House Group

 

  Workings Answer $(000)
Assets    
Non-Current Assets    
     
     
Current Assets    
     
     
     
TOTAL ASSETS    
     
Equity and Liabilities    
Equity    
Share Capital $1 each    
Retained Earnings    
     
Non-Controlling Interests    
     
Current Liabilities    
     
TOTAL EQUITY AND LIABILITIES    

(9.5 marks)

 

 

          Total: 25 marks

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTIONS CONTINUE ON NEXT PAGE)

QUESTION 2

 

As the financial accountant for Street plc, you are responsible for the preparation of a cashflow statement for the year ended 31st March 2021.

 

The following information is available:

  1. Street plc is a recruitment agency; placing temporary staff into businesses. Street plc is a business to business company (only works with businesses).
  2. Management have decided that in order to increase sales, they would offer extended client terms to 90 days.
  3. A new booking system was purchased by Street Plc this year (as seen in NCA), to help match the clients’ needs to workers’ skills. It is thought that the new system will reduce manpower hours, as the previous system was a manual system, which took a significant amount of time.

 

Statement of Financial Position for Street plc as at 31st March

 

  2021 2020
  $’000 $’000 $’000 $’000
Non-Current Assets        
Property, Plant and Equipment

Intangible Assets

  150

85

  145

         
Current Assets        
Inventory 5   7  
Receivables 205   120  
Cash at bank   10  
    210     137
Total Assets   445   282
Equity and Liabilities        
Ordinary $1 shares 100   100  
Retained Earnings 126   97  
    226   197
Non-Current Liabilities        
Long term loan   120   50
Current Liabilities        
Payables        99   35
Total Equity and Liabilities   445   282

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 2 (continued)

 

Income Statement for Street plc for the year ended 31st March 2021

 

  $’000
Revenue 18,500)
Cost of sales (12,250)
Gross Profit 6,250)
Distribution costs (110)
Administrative expenses (950)
Operating profit 5,190)
Finance costs (12)
Profit before taxation 5,178)
Tax expense (1,200)
Profit after taxation 3,978)
   
Dividends paid in the period 3,949
  1. Non-Current Assets

 

Plant, Property and Equipment (PPE) held by Street plc are office items of property and equipment for the head-office.  During the year to 31st March 2021, office items were upgraded and as such the business disposed of some of their older items.  These pieces of equipment, which originally cost $10,000 were disposed of, resulting in a loss of $2,000.  These items had a carrying value of $5,000 at the date of disposal.

Intangible Assets refer to the new booking system.

 

  1. Payables

 

The total payables figure breaks down as follows:

 

  2021 2020
  $’000 $’000
Bank overdraft 70
Trade payables 4 16
Interest payable 10 10
Current tax payable 15 9

 

  1. Depreciation

 

The depreciation charge for the year, included in the income statement was $15,000 for PPE but it was agreed that there should be no amortisation for the intangible assets, in the year of capitalisation.

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 2 (continued)

 

Required:

 

  1. a) Calculate Net cash flow from operating activities for Street Plc as at 31st March

 

Narrative Workings Answer $
     
     
     
     
     
     
     
     
     
     
     
     
     

(8 marks)

 

  1. b) Draw up a Statement of Cashflows for Street plc, using the indirect method, in accordance with IAS7.

 

  $ $
Net cash from operating activities    
CASHFLOWS FROM INVESTING ACTIVITES               
Purchase of non-current assets    
Receipts from sale of non-current assets    
Net cash used in investing activities    
CASHFLOWS FROM FINANCING ACTIVITES

 

   
Proceeds from share issue    
Proceeds from long-term borrowing    
Dividend paid    
Net cashflows used in financing activities    
Net increase in cash and cash equivalents    
Net cash and cash equivalents at the beginning    
Net cash and cash equivalents at the end of period    

 

Workings for NCA Workings for shares Workings for Loans
     
  • marks)

 

  1. c) Using your calculations and the information available, evaluate Street plc’s cash position.

         (9 marks)

 

Total: 25 marks

QUESTION 3

 

Below is a summarised draft statement of financial position of Educare plc, a publicly listed company, as at 31st March 2021.

$’000              $’000

Non-Current Assets

PPE (note 1)                                                                                     350,000

 

Current Assets

Inventories                                                                              29,000

Receivables (note 2)                                                             65,000

Bank                                                                                           8,800

102,800

Total Assets                                                                                                  452,800

 

Equity and liabilities

Ordinary shares of $1 each                                                                       190,000

Share premium                                                                                              20,000

Revaluation reserve                                                                                                  16,000

Retained earnings- at 01/04/20                                         85,600

For year ended 31/3/21                                           53,200            138,800

                                                                                                                        364,800

 

Current liabilities (note 3)                                                               88,000

Total Equity and Liabilities                                                                          452,800

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 3 (continued)

 

The following information is relevant:

 

  1. The value of ‘PPE’ is made up of $100m land, $150m buildings and $100m machinery. Non-current assets have not been depreciated for the year ended 31st March 2021.  Educare plc has a policy for depreciation as follows:

 

  • The values in the above Statement of Financial Position are as at 1st April 2020 when the buildings had a remaining life of ten years.

 

  • Machinery is depreciated at 15% on the reducing balance basis (carrying value is included in the above statement).

 

  1. The new Finance Director discovered a material fraud perpetrated by the company’s previous Finance Director. A full audit and investigation was completed however it was noted that the Trade Receivable figure in the draft accounts included $6m that had already been paid by the said receivables.  However, it has been calculated that only $1m was for the year to 31/3/21.  Insurers have advised that none of the $6m is recoverable due to the poor systems in place at Educare plc at that time. Also the previous Finance Director can not be located.

 

  1. From calculations carried out by the new Finance Director, it was estimated that corporation tax for the year to 31/3/21 would be $10m.

 

  1. On 1st August 2020 there was a fully subscribed rights issue of one new share for every seven held at a price of $1.50 each. The proceeds of the issue have been received and the issue of the shares has been correctly accounted for in the above statement of financial position.

 

  1. Dividends were paid during the year. The first was in June 2020, where a dividend of 8 cents per share was paid.  A further dividend of 4 cents per share was paid at the end of December 2020.  Both of these dividends have already been accounted for in the above statements.                                                                                  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 3 (continued)

 

Required:

 

  1. a) Recalculate the profit for the year ended 31st March 2021.

 

Narrative Workings $’000
     
     
     
     
     
     
     
     
     
     

(6 marks)

 

  1. b) Make a Statement of Changes in Equity as at 31st March 2021.
Narrative Share

Capital

Share

Premium

Revaluation

Surplus

Retained earnings Total Equity
           
           
           
           
           
           
           
           
           
  • marks)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(QUESTION CONTINUES ON NEXT PAGE)

QUESTION 3 (continued)

 

  1. c) Make a Statement of Financial Position as at 31st March 2021.

 

Statement of Financial Position as at 31st March 2021 for Educare Plc

 

  Workings Answer $(000)
Assets    
Non-Current Assets    
     
     
Current Assets    
     
     
     
     
TOTAL ASSETS    
     
Equity and Liabilities    
Equity    
     
     
     
     
     
Current Liabilities    
     
TOTAL EQUITY AND LIABILITIES    

(5 marks)

 

  1. d) With reference to the appropriate standard, discuss how you accounted for the fraud in the above statements.

(5 marks)

 

 

Total: 25 marks

 

 

 

 

 

 

—END OF PAPER—

 

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