Thursday, April 18

Course: Introduction to Business Finance (1415) Autumm 2023 Assignments 1

Course: Introduction to Business Finance (1415)

Q. 1 Define finance and the managerial finance function. Also identify the primary

activities of the financial manager? (20)

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Finance is a broad field encompassing the management of money and assets, including the acquisition, allocation, and utilization of funds to achieve organizational goals. It involves decision-making processes related to investments, financing, and risk management. Finance plays a crucial role in both personal and corporate contexts, guiding individuals and organizations in making optimal choices regarding their financial resources.

**Managerial Finance** refers to the branch of finance that focuses on the decisions and actions taken by managers to maximize the value of the organization. It involves analyzing financial data, assessing risks, and making strategic financial decisions to achieve the company's objectives efficiently. Managerial finance encompasses various aspects of financial management, including financial planning, budgeting, investment analysis, and capital structure decisions.

**Primary Activities of the Financial Manager**:

1. **Financial Planning and Analysis**: Financial managers are responsible for developing strategic financial plans that align with the organization's goals and objectives. They analyze financial data, forecasts future cash flows, and develop budgets to guide resource allocation and decision-making.

2. **Capital Budgeting**: Financial managers evaluate investment opportunities and determine which projects to pursue based on their potential returns and risks. They use techniques such as net present value (NPV), internal rate of return (IRR), and payback period analysis to assess the feasibility and profitability of investment projects.

3. **Capital Structure Management**: Financial managers make decisions regarding the organization's capital structure, including the mix of equity and debt financing. They assess the cost of capital, analyze the optimal capital structure, and determine the most appropriate sources of funding to minimize the cost of capital and maximize shareholder value.

4. **Risk Management**: Financial managers identify, assess, and manage financial risks that may impact the organization's performance and value. They develop risk management strategies, such as hedging against currency or interest rate risks, purchasing insurance, or diversifying investments, to mitigate potential losses and protect the organization's financial health.

5. **Financial Reporting and Analysis**: Financial managers prepare and analyze financial reports to communicate the organization's financial performance to stakeholders, including investors, creditors, and regulatory authorities. They ensure compliance with accounting standards and regulations and provide insights into the company's financial position and profitability.

6. **Working Capital Management**: Financial managers oversee the management of working capital, including cash, accounts receivable, and inventory. They optimize the organization's liquidity position, ensuring that it has sufficient funds to meet its short-term obligations while minimizing the costs associated with holding excessive levels of working capital.

Financial managers formulate dividend policies that determine how profits are distributed to shareholders. They assess the organization's financial position, cash flow requirements, and growth opportunities to determine the appropriate dividend payout ratio and balance between dividends and retained earnings.

Overall, financial managers play a critical role in guiding the financial decision-making process within an organization, ensuring that resources are allocated efficiently and effectively to maximize shareholder value and achieve long-term sustainability.

Q.2 Ratio proficiency McDougal Printing, inc., had sales totaling Rs. 40,000,000 in

fiscal year 2023. Some ratios for the company are listed below. Use this

information to determine the dollar values of various income statement and balance

sheet accounts are requested. (20)

Sales Rs. 40,000,000

Gross profit margin 80%

Operating profit margin 35%

Net profit margin 8%

Return on total assets 16%

Return on common equity 20%

Total asset turnover 2

Average collection period 62.2 days

Calculate values for the following:

a. Gross profits

b. Cost of goods sold

c. Operating profits

d. Operating expenses

e. Earning available for common stockholders

f. Total assets

g. Total common stock equity

h. Accounts receivable?

Let's calculate the values for the given income statement and balance sheet accounts using the provided ratios and sales figure for McDougal Printing, Inc.

Given:

Sales = Rs. 40,000,000

 

a. **Gross Profit**:

Gross Profit Margin = (Gross Profit / Sales) * 100

Gross Profit Margin = 80%

Gross Profit = Gross Profit Margin * Sales

80% * Rs. 40,000,000

                = Rs. 32,000,000

 

b. **Cost of Goods Sold (COGS)**:

   Gross Profit = Sales - COGS

   COGS = Sales - Gross Profit

        = Rs. 40,000,000 - Rs. 32,000,000

        = Rs. 8,000,000

 

c. **Operating Profit**:

   Operating Profit Margin = (Operating Profit / Sales) * 100

   Operating Profit Margin = 35%

   Operating Profit = Operating Profit Margin * Sales

                    = 35% * Rs. 40,000,000

                    = Rs. 14,000,000

 

d. **Operating Expenses**:

   Operating Expenses = Sales - Operating Profit

                      = Rs. 40,000,000 - Rs. 14,000,000

                      = Rs. 26,000,000

 

e. **Earnings Available for Common Stockholders**:

   Net Profit Margin = (Net Profit / Sales) * 100

   Net Profit Margin = 8%

   Net Profit = Net Profit Margin * Sales

              = 8% * Rs. 40,000,000

              = Rs. 3,200,000

 

f. **Total Assets**:

   Return on Total Assets = (Net Profit / Total Assets) * 100

   Return on Total Assets = 16%

   Total Assets = Net Profit / (Return on Total Assets / 100)

                = Rs. 3,200,000 / (16 / 100)

                = Rs. 20,000,000

 

g. **Total Common Stock Equity**:

   Return on Common Equity = (Net Profit / Total Common Stock Equity) * 100

   Return on Common Equity = 20%

   Total Common Stock Equity = Net Profit / (Return on Common Equity / 100)

                              = Rs. 3,200,000 / (20 / 100)

                              = Rs. 16,000,000

 

h. **Accounts Receivable**:

   Average Collection Period = (Accounts Receivable / Average Daily Sales) * 365

   Average Collection Period = 62.2 days

   Average Daily Sales = Sales / 365

                       = Rs. 40,000,000 / 365

                       ≈ Rs. 109,589

   Accounts Receivable = Average Collection Period * Average Daily Sales

                        = 62.2 days * Rs. 109,589

                        ≈ Rs. 6,810,377

 

These calculations provide the values for the requested income statement and balance sheet accounts for McDougal Printing, Inc.

Q. 3 In trying to judge whether a company has too much debt, what financial ratios would

you use and foe what purpose? (20)

Assessing the level of debt a company holds is crucial for investors, creditors, and management alike. Financial ratios provide a useful tool for analyzing a company's debt position and its ability to manage debt effectively. Here are some key financial ratios commonly used to evaluate a company's leverage and debt levels:

1. **Debt-to-Equity Ratio (D/E)**:

 - Purpose: The debt-to-equity ratio measures the proportion of debt financing relative to equity financing. It indicates the extent to which a company relies on debt to finance its operations.

- Formula: D/E Ratio = Total Debt / Total Equity

- Interpretation: A higher D/E ratio suggests higher financial leverage and greater risk associated with debt. Comparing the D/E ratio with industry averages or historical trends can help assess whether the company's debt level is reasonable.

2. **Debt-to-Assets Ratio**:

- Purpose: The debt-to-assets ratio measures the proportion of a company's assets that are financed by debt. It indicates the extent to which the company's assets are leveraged.

   - Formula: Debt-to-Assets Ratio = Total Debt / Total Assets

   - Interpretation: A higher debt-to-assets ratio indicates a larger portion of assets financed by debt, potentially increasing the company's financial risk. A lower ratio suggests a more conservative debt position.

3. **Interest Coverage Ratio**:

   - Purpose: The interest coverage ratio measures a company's ability to meet interest obligations on its debt. It assesses the company's earnings relative to its interest expenses.

   - Formula: Interest Coverage Ratio = Earnings Before Interest and Taxes (EBIT) / Interest Expense

   - Interpretation: A higher interest coverage ratio indicates a greater ability to cover interest payments with operating earnings, suggesting lower financial risk. A lower ratio may signal financial distress and difficulty meeting interest obligations.

4. **Debt Service Coverage Ratio (DSCR)**:

- Purpose: The debt service coverage ratio evaluates a company's ability to cover its debt obligations, including both principal and interest payments, with its operating income.

   - Formula: DSCR = Earnings Before Interest, Taxes, Depreciation, and Amortization (EBITDA) / Total Debt Service (Principal + Interest Payments)

   - Interpretation: A DSCR above 1 indicates that the company generates sufficient operating income to cover its debt obligations. A ratio below 1 suggests insufficient cash flow to meet debt obligations, increasing the risk of default.

5. **Debt Ratio**:

  - Purpose: The debt ratio measures the proportion of a company's assets financed by debt. It provides a broader perspective on leverage compared to the debt-to-equity ratio.

   - Formula: Debt Ratio = Total Debt / Total Assets

   - Interpretation: A higher debt ratio indicates a larger portion of assets financed by debt, suggesting higher financial leverage and risk. A lower ratio indicates a more conservative debt position.

6. **Long-Term Debt-to-Capitalization Ratio**:

   - Purpose: The long-term debt-to-capitalization ratio assesses the proportion of long-term debt relative to the company's total capitalization, including both debt and equity.

   - Formula: Long-Term Debt-to-Capitalization Ratio = Long-Term Debt / (Long-Term Debt + Total Equity)

   - Interpretation: A higher ratio suggests a greater reliance on long-term debt for financing, potentially increasing financial risk. A lower ratio indicates a more conservative capital structure.

These financial ratios provide valuable insights into a company's debt position, financial risk, and ability to manage debt effectively. By analyzing these ratios, investors, creditors, and management can make informed decisions regarding investment, lending, and capital allocation. Additionally, comparing these ratios with industry benchmarks and historical trends can provide context for evaluating the company's debt levels relative to its peers and over time.

Q.4 Present value and discount rates. You just won a lottery that promises to pay you

Rs. 1,000,000 exactly 10 years from today. Because the Rs. 1,000,000 payment is

guaranteed by the state in which you live, opportunities exist to sell the claim today

for an immediate single cash payment. (20)

a. What is the least you will sell your claim for if you can earn the following rates of return on similar risk investments during the 10 year period? (1) 6% (2) 9% (3)

12%.

b. Rework part a under the assumption that the Rs. 1,000,000 payment will be

received in 15 rather than 10 years.

c. On the basis of your findings in parts and b, discuss the effect of both the size of the rate of return and the time until receipt of payment on the present value of a future sum.

To calculate the present value of the Rs. 1,000,000 payment, we'll use the present value formula:

\[ PV = \dfrac{FV}{(1 + r)^n} \]

Where:

- \( PV \) = Present Value

- \( FV \) = Future Value (Rs. 1,000,000)

- \( r \) = Discount Rate (annual interest rate)

- \( n \) = Number of years

a. **Present Value for Different Discount Rates (10 years)**:

   1. Discount Rate of 6%:

      \( PV = \dfrac{1,000,000}{(1 + 0.06)^{10}} = \dfrac{1,000,000}{1.790847} ≈ \text{Rs. 558,394.62} \)

   2. Discount Rate of 9%:

  \( PV = \dfrac{1,000,000}{(1 + 0.09)^{10}} = \dfrac{1,000,000}{2.367752} ≈ \text{Rs. 422,401.23} \)

3. Discount Rate of 12%:

\( PV = \dfrac{1,000,000}{(1 + 0.12)^{10}} = \dfrac{1,000,000}{3.106378} ≈ \text{Rs. 321,973.43} \)

b. **Present Value for Different Discount Rates (15 years)**:

   Using the same formula with \( n = 15 \) years:

   1. Discount Rate of 6%:

      \( PV = \dfrac{1,000,000}{(1 + 0.06)^{15}} ≈ \text{Rs. 497,182.25} \)

   2. Discount Rate of 9%:

      \( PV = \dfrac{1,000,000}{(1 + 0.09)^{15}} ≈ \text{Rs. 309,581.11} \)

  3. Discount Rate of 12%:

      \( PV = \dfrac{1,000,000}{(1 + 0.12)^{15}} ≈ \text{Rs. 193,243.26} \)

c. **Effect of Discount Rate and Time on Present Value**:

   - **Discount Rate**: A higher discount rate leads to a lower present value, indicating that the future

 Q.5 Find value of an annuity for each case in the accompanying table, answer the

Question that follow. Case Amount of-annuityInterest rateDepositperiodA Rs. 2500 8% 10

B 500 12 6

C 30,000 20 5

D 11,500 9 8

E 6,000 14 30

a. Calculate the future value of the annuity assuming that it is

1. An ordinary annuity.

2. An annuity due.

b. Compare your finding in parts a (1) and a (2). Al else being identical, which

type of annuity ordinary or annuity due is preferable? Explain why.

 To calculate the future value of each annuity, we'll use the future value of an annuity formula for both ordinary annuity and annuity due:

1. **Future Value of Ordinary Annuity**:

\[ FV_{\text{ordinary}} = Pmt \times \left( \dfrac{(1 + r)^n - 1}{r} \right) \]

2. **Future Value of Annuity Due**:

\[ FV_{\text{annuity due}} = Pmt \times \left( \dfrac{(1 + r)^n - 1}{r} \right) \times (1 + r) \]

Where:

- \( Pmt \) = Payment amount per period

- \( r \) = Interest rate per period

- \( n \) = Number of periods

Given:

- Case A: \( Pmt = Rs. 2500 \), \( r = 8\% \), \( n = 10 \)

- Case B: \( Pmt = Rs. 500 \), \( r = 12\% \), \( n = 6 \)

- Case C: \( Pmt = Rs. 30,000 \), \( r = 20\% \), \( n = 5 \)

- Case D: \( Pmt = Rs. 11,500 \), \( r = 9\% \), \( n = 8 \)

- Case E: \( Pmt = Rs. 6,000 \), \( r = 14\% \), \( n = 30 \)

Let's calculate the future value for each case:

a. **Future Value of Annuity**:

 

1. **For Ordinary Annuity**:

\[ FV_{\text{ordinary}} = Pmt \times \left( \dfrac{(1 + r)^n - 1}{r} \right) \]

\[ \text{FV}_{A_{\text{ordinary}}} = 2500 \times \left( \dfrac{(1 + 0.08)^{10} - 1}{0.08} \right) \]

\[ \text{FV}_{B_{\text{ordinary}}} = 500 \times \left( \dfrac{(1 + 0.12)^6 - 1}{0.12} \right) \]

\[ \text{FV}_{C_{\text{ordinary}}} = 30000 \times \left( \dfrac{(1 + 0.20)^5 - 1}{0.20} \right) \]

\[ \text{FV}_{D_{\text{ordinary}}} = 11500 \times \left( \dfrac{(1 + 0.09)^8 - 1}{0.09} \right) \]

\[ \text{FV}_{E_{\text{ordinary}}} = 6000 \times \left( \dfrac{(1 + 0.14)^{30} - 1}{0.14} \right) \]

2. **For Annuity Due**:

\[ FV_{\text{annuity due}} = Pmt \times \left( \dfrac{(1 + r)^n - 1}{r} \right) \times (1 + r) \]

\[ \text{FV}_{A_{\text{annuity due}}} = 2500 \times \left( \dfrac{(1 + 0.08)^{10} - 1}{0.08} \right) \times (1 + 0.08) \]

\[ \text{FV}_{B_{\text{annuity due}}} = 500 \times \left( \dfrac{(1 + 0.12)^6 - 1}{0.12} \right) \times (1 + 0.12) \]

\[ \text{FV}_{C_{\text{annuity due}}} = 30000 \times \left( \dfrac{(1 + 0.20)^5 - 1}{0.20} \right) \times (1 + 0.20) \]

\[ \text{FV}_{D_{\text{annuity due}}} = 11500 \times \left( \dfrac{(1 + 0.09)^8 - 1}{0.09} \right) \times (1 + 0.09) \]

\[ \text{FV}_{E_{\text{annuity due}}} = 6000 \times \left( \dfrac{(1 + 0.14)^{30} - 1}{0.14} \right) \times (1 + 0.14) \]

Now, let's compute these values.

To calculate the future value of each annuity, let's plug in the given values into the formulas:

1. **For Ordinary Annuity**:

\[ \text{FV}_{A_{\text{ordinary}}} = 2500 \times \left( \dfrac{(1 + 0.08)^{10} - 1}{0.08} \right) \]

\[ \text{FV}_{B_{\text{ordinary}}} = 500 \times \left( \dfrac{(1 + 0.12)^6 - 1}{0.12} \right) \]

\[ \text{FV}_{C_{\text{ordinary}}} = 30000 \times \left( \dfrac{(1 + 0.20)^5 - 1}{0.20} \right) \]

\[ \text{FV}_{D_{\text{ordinary}}} = 11500 \times \left( \dfrac{(1 + 0.09)^8 - 1}{0.09} \right) \]

\[ \text{FV}_{E_{\text{ordinary}}} = 6000 \times \left( \dfrac{(1 + 0.14)^{30} - 1}{0.14} \right) \]

2. **For Annuity Due**:

\[ \text{FV}_{A_{\text{annuity due}}} = 2500 \times \left( \dfrac{(1 + 0.08)^{10} - 1}{0.08} \right) \times (1 + 0.08) \]

\[ \text{FV}_{B_{\text{annuity due}}} = 500 \times \left( \dfrac{(1 + 0.12)^6 - 1}{0.12} \right) \times (1 + 0.12) \]

\[ \text{FV}_{C_{\text{annuity due}}} = 30000 \times \left( \dfrac{(1 + 0.20)^5 - 1}{0.20} \right) \times (1 + 0.20) \]

\[ \text{FV}_{D_{\text{annuity due}}} = 11500 \times \left( \dfrac{(1 + 0.09)^8 - 1}{0.09} \right) \times (1 + 0.09) \]

\[ \text{FV}_{E_{\text{annuity due}}} = 6000 \times \left( \dfrac{(1 + 0.14)^{30} - 1}{0.14} \right) \times (1 + 0.14) \]

Let's calculate these values.

Here are the calculations for the future value of each annuity, both for ordinary annuity and annuity due:

1. **For Ordinary Annuity**:

\[ \text{FV}_{A_{\text{ordinary}}} = 2500 \times \left( \dfrac{(1 + 0.08)^{10} - 1}{0.08} \right) \]

\[ \text{FV}_{A_{\text{ordinary}}} \approx 2500 \times \left( \dfrac{(1.08)^{10} - 1}{0.08} \right) \]

\[ \text{FV}_{A_{\text{ordinary}}} \approx 2500 \times \left( \dfrac{2.158924 - 1}{0.08} \right) \]

\[ \text{FV}_{A_{\text{ordinary}}} \approx 2500 \times 19.48655 \]

\[ \text{FV}_{A_{\text{ordinary}}} \approx \text{Rs. } 48,716.37 \]

Similarly, calculating for the rest of the cases:

\[ \text{FV}_{B_{\text{ordinary}}} \approx \text{Rs. } 3,339.13 \]

\[ \text{FV}_{C_{\text{ordinary}}} \approx \text{Rs. } 270,247.02 \]

\[ \text{FV}_{D_{\text{ordinary}}} \approx \text{Rs. } 147,197.89 \]

\[ \text{FV}_{E_{\text{ordinary}}} \approx \text{Rs. } 1,448,999.54 \]

2. **For Annuity Due**:

\[ \text{FV}_{A_{\text{annuity due}}} = 2500 \times \left( \dfrac{(1 + 0.08)^{10} - 1}{0.08} \right) \times (1 + 0.08) \]

\[ \text{FV}_{A_{\text{annuity due}}} \approx 2500 \times \left( \dfrac{(1.08)^{10} - 1}{0.08} \right) \times 1.08 \]

\[ \text{FV}_{A_{\text{annuity due}}} \approx 2500 \times \left( \dfrac{2.158924 - 1}{0.08} \right) \times 1.08 \]

\[ \text{FV}_{A_{\text{annuity due}}} \approx 2500 \times 19.48655 \times 1.08 \]

\[ \text{FV}_{A_{\text{annuity due}}} \approx \text{Rs. } 52,637.89 \]

Similarly, calculating for the rest of the cases:

\[ \text{FV}_{B_{\text{annuity due}}} \approx \text{Rs. } 3,826.08 \]

\[ \text{FV}_{C_{\text{annuity due}}} \approx \text{Rs. } 312,299.12 \]

\[ \text{FV}_{D_{\text{annuity due}}} \approx \text{Rs. } 169,624.08 \]

\[ \text{FV}_{E_{\text{annuity due}}} \approx \text{Rs. } 1,665,599.45 \]

Now, let's compare the findings in parts a(1) and a(2).

Comparing the future values of ordinary annuity and annuity due for each case, we observe the following:

- For all cases, the future value of the annuity due is higher than that of the ordinary annuity.

- The difference between the future values of the annuity due and the ordinary annuity increases as the interest rate and the deposit period increase.

 

The reason for the difference in future values lies in the timing of cash flows. In an annuity due, each payment is received at the beginning of the period, allowing more time for compounding to occur. As a result, the future value of an annuity due is higher than that of an ordinary annuity.

 

Now, let's discuss which type of annuity, ordinary or annuity due, is preferable, assuming all else is identical:

 

Annuity due is generally preferable over an ordinary annuity due to the time value of money principle. By receiving payments at the beginning of each period, an annuity due allows for earlier access to funds, which can be reinvested or used for other purposes. Additionally, the higher future value of an annuity due compared to an ordinary annuity further supports its preference, especially in scenarios where maximizing wealth accumulation is a priority.

 

In conclusion, all else being identical, an annuity due is preferable over an ordinary annuity due to its higher future value and the benefits associated with receiving payments at the beginning of each period.

Dear Student,

Ye sample assignment h. Ye bilkul copy paste h jo dusre student k pass b available h. Agr ap ne university assignment send krni h to UNIQUE assignment hasil krne k lye ham c contact kren:

0313-6483019

0334-6483019

0343-6244948

University c related har news c update rehne k lye hamra channel subscribe kren:

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JUST 5 BULLET POINTS WITHOUT ANY HEADINGS AND SUB BULLET POINTS