The Art of Mathematics in Business. Dr Jae K Shim
borrowing must be sufficient to cover the cash shortfall and to provide for the minimum cash balance of $10,000
All borrowings and repayments must be in multiples of $1,000 amounts, and interest is 10 percent per annum.
Interest is computed and paid on the principal as the principal is repaid.
All borrowings take place at the beginning of a quarter, and all repayments are made at the end of a quarter.
No investment option is allowed in this example. The loan is self-liquidating in the sense that the borrowed money is used to obtain resources that are combined for sale, and the proceeds from sales are used to pay back the loan.
Note: To be useful for cash planning and control, the cash budget must be prepared on a monthly basis.
The Putnam Company – Cash Budget
* | $19,000 (from the balance sheet 20A). |
** | The company desires to maintain a $ 10,000 minimum cash balance at the end of each quarter. Therefore, borrowing must be sufficient to cover the cash shortfall of $19,325 and to provide for the minimum cash balance of $10,000, for a total of $29,325. |
*** | The interest payments relate only to the principal being repaid at the time it is repaid. For example, the interest in quarter 3 relates only to the interest due on the $30,000 principal being repaid from quarter 1 borrowing and on the $15,000 principal being repaid from quarter 2 borrowing. Total interest being paid is $3,000, shown as follows: |
$30,000 × 10% × 3/4= $2,250 | |
$15,000 × 10% × 2/4=750 | |
+ $35,000 × 10% × 3/4= $3,000 |
The Budgeted Income Statement
The budgeted income statement summarizes the various component projections of revenue and expenses for the budgeting period. However, for control purposes the budget can be divided into quarters or even months depending on the need.
Schedule 9
The Putnam Company – Budgeted Income Statement
* | Cost of goods manufactured = total manufacturing cost + beginning work in process inventory – ending work in process inventory. Since there are no work in process inventories in this illustration, cost of goods manufactured = total manufacturing cost. Thus cost of goods manufactured = direct materials used + direct labor + factory overhead = $61,000 (12,200 ibs. @$5 per lbs.—Schedule 3) + $305,000 (Schedule 4) + $134,200 (Schedule 5) = $500,200 |
** | Estimated |
The Budgeted Balance Sheet
The budgeted balance sheet is developed by beginning with the balance sheet for the year just ended and adjusting it, using all the activities that are expected to take place during the budgeting period. Some of the reasons why the budgeted balance sheet must be prepared are:
It could disclose some unfavorable financial conditions that management might want to avoid.
It serves as a final check on the mathematical accuracy of all the other schedules.
It helps management perform a variety of ratio calculations.
It highlights future resources and obligations.
We can construct the budgeted balance sheet by using:
The December, 20A balance sheet (Schedule 10)
The cash budget (Schedule 8)
The budgeted income statement (Schedule 9).
Putnam’s budgeted balance sheet for December 31, 20B, is presented below. Supporting calculations of the individual statement accounts are also provided. To illustrate, we will use the following balance sheet for the year 20A.
Schedule 10
The Putnam Company – Balance Sheet
December 31, 20A | ||
Assets | ||
Current assets: | ||
Cash | $ 19,000 | |
Accounts receivable | 100,000 | |
Materials inventory (490 lbs.) | 2,450 | |
Finished goods inventory (200 units) | 16,400 | |
Total current assets | $137,850 | |
Plant and equipment: | ||
Land | 30,000 | |
Buildings and equipment | 250,000 | |
Accumulated depreciation | (74,000) | |
Plant and equipment, net | 206,000 | |
Total assets | $343,850 | |
Liabilities and Stockholders’ Equity | ||
Current liabilities | ||
Accounts payable (raw materials) | $ 6,275 | |
Income tax payable | 60,000 | |
Total current liabilities | $66,275 | |
Stockholders’ equity: | ||
Common stock, no par |
$200,000
|