Worked example · EX:multi-period-statement-analysis-and-operating-efficiency/recompute-birchline-operating-checks

Recompute Birchline's bounded operating checks

Check one receivable rollforward, one inventory rollforward, one payable rollforward, and two percentage conventions before interpreting the results.

Updated Sep 10, 2026 Review due Dec 10, 2026
On this page
  1. Reconcile the three operating balances
  2. Keep the percentage bases visible
  3. Stop at the calculation boundary
Worked-example setupScope and assumptions
  • The supplied flows and balances use one entity, reporting basis, currency, and annual period.
  • No write-offs, returns, discounts, allowances, acquisitions, write-downs, or other omitted rollforward adjustments occur.
  • Beginning-ending averages adequately represent the three operating balances for this bounded check.
Period
Birchline Year 3, with Year 2 net sales as the horizontal-analysis base
Units
Whole USD; turnover in times per year; decimal common-size shares and percentage changes
Rounding
Full precision internally; displayed rates to two decimals

Reconcile the three operating balances

Birchline reports $420,000 of net credit sales. Opening receivables of $47,000 plus those sales, less ending receivables of $48,000, imply $419,000 of customer collections. Average receivables are $47,500, so receivables turnover is 8.84 times.

Inventory follows a different rollforward. Opening Inventory of $71,000 plus $304,000 of purchases, less $305,000 of cost of goods sold, equals the $70,000 ending balance. Average Inventory is $70,500, and Inventory turnover is 4.33 times.

Opening payables of $42,000 plus $245,000 of credit purchases, less the $43,000 ending balance, imply $244,000 of supplier payments. The $42,500 average payables balance produces payable turnover of 5.76 times.

Keep the percentage bases visible

Year 3 cost of goods sold is 58.10% of the same year's $525,000 net sales. Year 3 net sales exceed Year 2 net sales by $40,000, or 8.25% of the $485,000 comparison amount. A new $6,000 fee has a $6,000 dollar change, but its zero comparison amount does not support an ordinary percentage change.

Stop at the calculation boundary

These checks establish that the supplied arithmetic reconciles. They do not show whether the average balances represent the year, whether the source labels are comparable, or why any turnover changed. Terms, aging, product movement, supplier records, and interim balances would be needed for those conclusions.

Verified calculation · operating efficiency task

The curriculum loader recomputed this example before it entered the site build. Expand any structured input to inspect the stated facts.

common size
1 field
Inspect data
{
  "year_3_cost_of_goods_sold": {
    "amount": 305000,
    "base": 525000
  }
}
horizontal
2 fields
Inspect data
{
  "net_sales": {
    "comparison_amount": 485000,
    "current_amount": 525000
  },
  "new_fee": {
    "comparison_amount": 0,
    "current_amount": 6000
  }
}
inventory
4 fields
Inspect data
{
  "cost_of_goods_sold": 305000,
  "ending_inventory": 70000,
  "merchandise_purchases": 304000,
  "opening_inventory": 71000
}
payables
3 fields
Inspect data
{
  "credit_purchases": 245000,
  "ending_payables": 43000,
  "opening_payables": 42000
}
receivables
3 fields
Inspect data
{
  "ending_receivables": 48000,
  "net_credit_sales": 420000,
  "opening_receivables": 47000
}
zero base percentage policy
omit

Recomputed result

Values recomputed by the curriculum loader
MeasureValue
average inventory70,500
average payables42,500
average receivables47,500
common size year 3 cost of goods sold0.581
customer collections419,000
horizontal net sales dollar change40,000
horizontal net sales percent change0.0825
horizontal new fee dollar change6,000
inventory rollforward difference0
inventory turnover4.3262
payables turnover5.7647
receivables turnover8.8421
supplier payments244,000