Answer:
156.76 days (approx.)
Explanation:
To calculate the Cash Cycle, we need to consider the time it takes for a company to convert its investment in inventory and receivables back into cash. The formula for Cash Cycle is as follows:
Cash Cycle = Inventory Conversion Period + Receivables Collection Period - Payables Deferral Period
Now, let's calculate each component of the Cash Cycle using the given information.
1. Inventory Conversion Period:
Inventory Conversion Period measures the average number of days it takes to convert raw materials into finished goods.
Average Inventory = (Opening Raw Material + Closing Raw Material) / 2
= (4,00,000 + 5,00,000) / 2
= 4,50,000
Manufacturing Costs per day = Manufacturing Costs / 360 days
= 10,45,000 / 360
= 2,902.77 (approx.)
Inventory Conversion Period = Average Inventory / Manufacturing Costs per day
= 4,50,000 / 2,902.77
≈ 155 days
2. Receivables Collection Period:
Receivables Collection Period measures the average number of days it takes to collect payments from customers.
Average Receivables = (Opening Debtors + Closing Debtors) / 2
= (2,50,000 + 3,15,000) / 2
= 2,82,500
Sales per day = Total Sales / 360 days
= 4,20,00,500 / 360
= 1,16,666.67 (approx.)
Receivables Collection Period = Average Receivables / Sales per day
= 2,82,500 / 1,16,666.67
≈ 2.42 days
3. Payables Deferral Period:
Payables Deferral Period measures the average number of days the company takes to pay its suppliers.
Average Payables = (Opening Creditors + Closing Creditors) / 2
= (5,60,000 + 6,25,000) / 2
= 5,92,500
Purchases per day = Total Purchases / 360 days
= 3,23,00,000 / 360
= 8,97,222.22 (approx.)
Payables Deferral Period = Average Payables / Purchases per day
= 5,92,500 / 8,97,222.22
≈ 0.66 days
Now, we can calculate the Cash Cycle using the formula mentioned earlier:
Cash Cycle = Inventory Conversion Period + Receivables Collection Period - Payables Deferral Period
= 155 days + 2.42 days - 0.66 days
≈ 156.76 days (approx.)
Therefore, the Cash Cycle is approximately 156.76 days based on the given information.