Math Problem Statement

Case Study: Financial Ratios Analysis of GO Corporation (2023 vs. 2022) GO Corporation is a mid-sized manufacturing company specializing in home appliances. The company wants to assess its financial performance by comparing the key financial ratios for the fiscal years ending December 31, 2023, and December 31, 2022.

Financial Data: Metrics 2023 2022 Net Sales ₱5,000,000 ₱4,500,000 Cost of Goods Sold (COGS) ₱3,000,000 ₱2,900,000 Gross Profit ₱2,000,000 ₱1,600,000 Operating Expenses ₱1,000,000 ₱900,000 Net Income ₱800,000 ₱600,000 Total Assets ₱6,000,000 ₱5,500,000 Current Assets ₱2,500,000 ₱2,300,000 Inventory ₱800,000 ₱750,000 Accounts Receivable ₱500,000 ₱450,000 Cash ₱700,000 ₱650,000 Total Liabilities ₱3,500,000 ₱3,300,000 Current Liabilities ₱1,500,000 ₱1,400,000 Owner’s Equity ₱2,500,000 ₱2,200,000

Task: Compute and compare (interpret) the following financial ratios for XYZ Corporation between 2022 and 2023: INVENTORY TURNOVER

Solution

Inventory Turnover Ratio: 2022 vs 2023

The Inventory Turnover Ratio measures how efficiently a company turns its inventory into sales. The formula is:

Inventory Turnover=Cost of Goods Sold (COGS)Average Inventory\text{Inventory Turnover} = \frac{\text{Cost of Goods Sold (COGS)}}{\text{Average Inventory}}

Where:

  • Cost of Goods Sold (COGS) represents the cost incurred to produce the goods that the company sells.
  • Average Inventory is the average of the inventory at the beginning and end of the year:

Average Inventory=Inventory at Beginning of Year+Inventory at End of Year2\text{Average Inventory} = \frac{\text{Inventory at Beginning of Year} + \text{Inventory at End of Year}}{2}

Step 1: Calculate Average Inventory

For 2023: Average Inventory (2023)=750,000+800,0002=775,000\text{Average Inventory (2023)} = \frac{₱750,000 + ₱800,000}{2} = ₱775,000

For 2022: Average Inventory (2022)=Previous Year’s Inventory+2022 Inventory2\text{Average Inventory (2022)} = \frac{\text{Previous Year's Inventory} + \text{2022 Inventory}}{2} Since we don't have the inventory at the start of 2022, we’ll assume the ending inventory for 2021 is ₱700,000: Average Inventory (2022)=700,000+750,0002=725,000\text{Average Inventory (2022)} = \frac{₱700,000 + ₱750,000}{2} = ₱725,000

Step 2: Calculate Inventory Turnover Ratio

For 2023: Inventory Turnover (2023)=3,000,000775,000=3.87 times\text{Inventory Turnover (2023)} = \frac{₱3,000,000}{₱775,000} = 3.87 \text{ times}

For 2022: Inventory Turnover (2022)=2,900,000725,000=4.00 times\text{Inventory Turnover (2022)} = \frac{₱2,900,000}{₱725,000} = 4.00 \text{ times}

Interpretation

  • 2023: GO Corporation turned over its inventory 3.87 times during the year.
  • 2022: The inventory turnover ratio was higher, at 4.00 times.

The decrease in the inventory turnover ratio from 4.00 to 3.87 suggests that GO Corporation was slightly less efficient at converting its inventory into sales in 2023 compared to 2022. This could indicate either slower sales, higher inventory levels, or both.


Do you need more details or have any questions?

Here are some related questions to further analyze GO Corporation's performance:

  1. How does the inventory turnover ratio compare with industry standards?
  2. What is the impact of operating expenses on profitability in 2023 vs 2022?
  3. How does the company’s liquidity (e.g., current ratio) compare between 2022 and 2023?
  4. How did changes in total assets affect asset turnover ratios between the two years?
  5. How does the company's debt-to-equity ratio impact financial stability in 2023?

Tip: A lower inventory turnover could indicate a need to review inventory management practices to avoid tying up too much capital in unsold stock.

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Math Problem Analysis

Mathematical Concepts

Financial Analysis
Inventory Turnover
Ratio Analysis

Formulas

Inventory Turnover = Cost of Goods Sold (COGS) / Average Inventory
Average Inventory = (Beginning Inventory + Ending Inventory) / 2

Theorems

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Suitable Grade Level

Undergraduate Level (Business/Finance)