Forecasting
APPL Forecast. FP&A
| Final Project. Forecasted Financial Statements and Comparative Analysis | Instruction. (Remove this part once your work is done.) | ||||||||
| Proejct Company: Apple Inc. | (1) Describe all the justifications and explanations of the requirements on the Word. | ||||||||
| Financial Analyst: Paul Ahn, CPA | (2) Research to justify all the hard inputs. Explain with WHY it should be and WHERE you get the info by pasting the URL link as an evidence on Word. | ||||||||
| (3) If calculated, then explan with HOW you compute the outcomes on Word. | |||||||||
| Part I. Assumption Table ($ million, %) | * Tips! To get a higher grade, use as many independent assumptions on accounts in each quarter as possible with research support, | ||||||||
| rather than just using the same % of sales throughout the forecasted quarters. | |||||||||
| 1. Forecasting Assumptions. | 2022 Q3 Actual | 2022 FQ4 | 2023 FQ1 | 2023 FQ2 | 2023 FQ3 | Forecasted financial statements must be reasonable and realistic along with contemporary events and issues of the firm. | |||
| Comprehensive Income Statement items: All the I/S items must be dealt in the Assumption part. | All the I/S items must be distinguished as % of Sales or trend methods and be justified. | ||||||||
| Sales forecasted ($ million) | 82,959 | 88,576 | 129,803 | 96,409 | 86,473 | Sales forecast must be linked to a sales forecasting model and be justified. | |||
| Cost of Sales (% of sales) | -56.7% | 57.0% | 58.0% | 59.0% | |||||
| R&D Exp (% of sales) | -8.2% | -8.5% | -8.5% | -9.0% | -9.0% | ||||
| SG&A Exp (% of sales) | -3.9% | -4.0% | -4.5% | -4.5% | -4.0% | ||||
| Depr. & Amort. (% of fixed assets) | 6.4% | 6.4% | 6.4% | 6.4% | 6.4% | ||||
| Other Income (% of sales) | 0.9% | 1.0% | 1.0% | 1.1% | 1.1% | ||||
| Tax rate (% of income before tax) | -15.7% | -15.7% | -15.7% | -15.7% | -15.7% | ||||
| Dividend (% of net Income, payout ratio) | -19.3% | -20.0% | -15.0% | -25.0% | -27.0% | ||||
| Stock Repurchase Program (% of net income) | -113.1% | 90.0% | -80.0% | 70.0% | 60.0% | ||||
| * Include or delete the I/S items according to the chosen company's I/S | |||||||||
| Balance Sheet accounts: All the B/S accounts with hard inputs or trend methods must be dealt in the Assumption part. | All the B/S accounts must be distinguished as % of Sales or trend methods and be justified. | ||||||||
| Current Marketable Securities ($ million) | 25% | 26% | 27% | 28% | 29% | ||||
| Non-current Marketable Securities ($ million) | 158% | 155% | 150% | 145% | 140% | ||||
| Property, plant and equipment, net | 40,335 | 43,968 | 44,621 | 275 | 45,929 | At least one B/S account must be forecasted by Trend Method and linked to the Assumption part. | |||
| Commercial paper (% annual interest rate) | 2.0% | 2.5% | 2.5% | 3.0% | 3.0% | ||||
| Short-term debt (% annual interest rate) | 2.0% | 2.5% | 2.5% | 3.0% | 3.0% | ||||
| Long-term debt (% annual interest rate) | 3.0% | 3.5% | 3.5% | 4.0% | 4.0% | ||||
| * Include or delete the B/S accounts according to the chosen company's B/S | |||||||||
| Part II. Financial Planning with Forecasted Financial Statements ($ million) | |||||||||
| 1. Income Statement for the quarter ended | % of sales | 2022 Q3 Actual | 2022 FQ4 | 2023 FQ1 | 2023 FQ2 | 2023 FQ3 | |||
| Total net sales | 100% | 82,959 | How gets this forecasted sales, which forecasting model, why this model, is this forecasted sales justifiable in 4 quarters | ||||||
| Less Cost of sales | -57% | (47,074) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| Gross margin | 43% | 35,885 | |||||||
| Less Operating expenses: | |||||||||
| Research and development | -8.2% | (6,797) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| Selling, general, and administrative | -3.9% | (3,266) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| Depreciation & Amortization | -3.3% | (2,746) | must be extracted if I/S doesn't present | ||||||
| Total operating expenses | -15.4% | (12,809) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| Operating Income | 28% | 23,076 | |||||||
| Other Income (Expense, excluding interest) | 0.9% | 709 | still the same % of sales? Then why? could be changed? Then why? | ||||||
| Interest expense | -0.9% | (719) | must extract if I/S doesn't present, must link to all the interest bearing debts | ||||||
| Income before tax | 28% | 23,066 | |||||||
| Less Provision for Income tax | -4% | (3,624) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| Net Income | 23% | 19,442 | |||||||
| (Dividend) | -5% | (3,760) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| (Stock Repurchased) | -27% | (21,991) | still the same % of sales? Then why? could be changed? Then why? | ||||||
| 2. Balance sheet (B/S), as of quarter end | % of sales | 2022 Q3 Actual | 2022 FQ4 | 2023 FQ1 | 2023 FQ2 | 2023 FQ3 | |||
| Current assets: | For the simplicity, plesase assume that the company does not change % of sales on each assets other than Cash. | ||||||||
| Cash and cash equivalents | 33% | $ 27,502 | must indentify if there is excess cash. | ||||||
| Marketable securities | 25% | 20,729 | - 0 | - 0 | - 0 | - 0 | |||
| Accounts receivable, net | 26% | 21,803 | - 0 | - 0 | - 0 | - 0 | |||
| Inventories | 7% | 5,433 | - 0 | - 0 | - 0 | - 0 | |||
| Vendor non-trade receivables | 25% | 20,439 | - 0 | - 0 | - 0 | - 0 | |||
| Other current assets | 20% | 16,386 | - 0 | - 0 | - 0 | - 0 | |||
| Total current assets | 135% | 112,292 | - 0 | - 0 | - 0 | - 0 | |||
| Non-current assets: | |||||||||
| Marketable securities | 158% | 131,077 | - 0 | - 0 | - 0 | - 0 | |||
| Property, plant and equipment, net | 49% | 40,335 | 43,968 | 44,621 | 275 | 45,929 | |||
| Other non-current assets | 63% | 52,605 | - 0 | - 0 | - 0 | - 0 | |||
| Total non-current assets | 270% | 224,017 | 43,968 | 44,621 | 275 | 45,929 | |||
| Total assets | 405% | $ 336,309 | |||||||
| Current liabilities: | For the simplicity, plesase assume that the company does not change % of sales on each liability other than AFN debt | ||||||||
| Accounts payable | 58% | $ 48,343 | - 0 | - 0 | - 0 | - 0 | |||
| Other current liabilities | 59% | 48,811 | - 0 | - 0 | - 0 | - 0 | |||
| Deferred revenue | 9% | 7,728 | - 0 | - 0 | - 0 | - 0 | |||
| Commercial paper (interest bearing, 2%) | 13.24% | 10,982 | Use any kind of short term debt as additional financing needed (AFN), Research all the borrowing cost of debt and determine what % can be applicable | ||||||
| Term debt (interest bearing, 3%) | 17% | 14,009 | - 0 | - 0 | - 0 | - 0 | Research all the borrowing cost of debt and determine what % can be applicable | ||
| Total current liabilities | 157% | 129,873 | - 0 | - 0 | - 0 | - 0 | |||
| Non-current liabilities: | |||||||||
| Term debt (interest bearing, 3%) | 114% | 94,700 | 94,700 | 94,700 | 94,700 | 94,700 | Research all the borrowing cost of debt and determine what % can be applicable | ||
| Other non-current liabilities | 65% | 53,629 | 53,629 | 53,629 | 53,629 | 53,629 | |||
| Total non-current liabilities | 179% | 148,329 | 148,329 | 148,329 | 148,329 | 148,329 | |||
| Total liabilities | 335% | 278,202 | 148,329 | 148,329 | 148,329 | 148,329 | |||
| Shareholder's Equity: | For the simplicity, plesase assume that the company does not issue equity during the forcased period | ||||||||
| Common stock and additional paid-in capital | 75% | 62,115 | 62,115 | 62,115 | 62,115 | 62,115 | |||
| Retained earnings | 6% | 5,289 | 5,289 | 5,289 | 5,289 | 5,289 | |||
| Accumulated other comprehensive income/(loss) | -11.21% | (9,297) | (9,297) | (9,297) | (9,297) | (9,297) | |||
| Total shareholders' equity | 70% | 58,107 | 58,107 | 58,107 | 58,107 | 58,107 | |||
| Total liabilities and shareholders' equity | 405% | $ 336,309 | |||||||
| 3. Statement of Cash Flows, for the quarter ended | 2022 FQ4 | 2023 FQ1 | 2023 FQ2 | 2023 FQ3 | Analyze Operating, Investing, and Financing activities in terms of cash. | ||||
| Operating: | |||||||||
| Net Income | - 0 | - 0 | - 0 | - 0 | |||||
| Depreciation & Amortization | - 0 | - 0 | - 0 | - 0 | |||||
| Change in Marketable securities | 20,729 | - 0 | - 0 | - 0 | |||||
| Change in Accts. Receivable | 21,803 | - 0 | - 0 | - 0 | |||||
| Change in Inventories | 5,433 | - 0 | - 0 | - 0 | |||||
| Change in Vendor non-trade receivables | 20,439 | - 0 | - 0 | - 0 | |||||
| Change in other current assets | 16,386 | - 0 | - 0 | - 0 | |||||
| Change in Accts. Payable | (48,343) | - 0 | - 0 | - 0 | |||||
| Change in other current liabilities | (48,811) | - 0 | - 0 | - 0 | |||||
| Change in Deferred revenue | (7,728) | - 0 | - 0 | - 0 | |||||
| Cash Flow from Operations | (20,092) | - 0 | - 0 | - 0 | |||||
| Investing: | |||||||||
| Change in Marketable securities | 131,077 | - 0 | - 0 | - 0 | |||||
| Change in Gross Fixed Assets | (3,633) | (653) | 44,346 | (45,654) | |||||
| Change in Other non curent assets | 52,605 | - 0 | - 0 | - 0 | |||||
| Cash Flow from Investing | 180,049 | (653) | 44,346 | (45,654) | |||||
| Financing: | |||||||||
| Commercial paper | (10,982) | - 0 | - 0 | - 0 | |||||
| Short Term debt | (14,009) | - 0 | - 0 | - 0 | |||||
| Long Term debt | - 0 | - 0 | - 0 | - 0 | |||||
| Other non-current liabilities | - 0 | - 0 | - 0 | - 0 | |||||
| Dividend paid | - 0 | - 0 | - 0 | - 0 | |||||
| Stock repurchased | - 0 | - 0 | - 0 | - 0 | |||||
| Cash Flow from Financing | (24,991) | - 0 | - 0 | - 0 | |||||
| Net Quarterly Cash Flow | 134,966 | (653) | 44,346 | (45,654) | |||||
| Beginning Cash | 27,502 | - 0 | - 0 | - 0 | |||||
| Ending Cash | 162,468 | (653) | 44,346 | (45,654) | |||||
| Part III. Compariative Analysis with Ratios. | |||||||||
| 1. Liquidity (Safety) | 2022 Q3 Actual | 2022 FQ4 | 2023 FQ1 | 2023 FQ2 | 2023 FQ3 | Analyze financial statements with ratios in terms of Liquidity. How the ratios wiil be changed? And Why? | |||
| a. Current ratio | 0.86 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| b. Quick ratio | 0.82 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| c. Accounts Receivable Turnover | 3.80 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| d. Days in Receivable | 23.92 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| 2. Productivity (Efficiency) | Analyze financial statements with ratios in terms of Efficiency. How the ratios wiil be changed? And Why? | ||||||||
| a. Inventory Turnover | 8.66 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| b. Days in Inventory | 10.53 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| c. Total Asset Turnover | 0.25 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| d. Total Fixed Asset Turnover | 2.06 | - 0 | - 0 | - 0 | - 0 | ||||
| 3. Profitability (Performance) | Analyze financial statements with ratios in terms of Performance. How the ratios wiil be changed? And Why? | ||||||||
| a. Operating profit margin (%) | 27.82% | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| b. Return on Asset (%) | 5.78% | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| c. Return on Sales, net profit margin (%) | 23.44% | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| d. Return on Equity (%) | 33.46% | 0.00% | 0.00% | 0.00% | 0.00% | ||||
| 4. Insolvency (Leverage) | Analyze financial statements with ratios in terms of Leverage How the ratios wiil be changed? And Why? | ||||||||
| a. Debt Ratio | 0.83 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| b. Asset to Equity (Equity Multiplier) | 5.79 | - 0 | - 0 | - 0 | - 0 | ||||
| c. Current Liabilities to Total Debt Ratio | 0.47 | - 0 | - 0 | - 0 | - 0 | ||||
| d. Interest Coverage | 32.09 | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| 5. DuPont Analysis. (ROE break-down) | Analyze financial statements with ratios in terms of Profitability, Productivity, Leveage. How the ratios wiil be changed? And Why? | ||||||||
| a. Return on Sales, net profit margin (%) | 23.44% | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| b. Asset Turnover | 24.67% | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| c. Asset to Equity | 5.79 | - 0 | - 0 | - 0 | - 0 | ||||
| d. Return on Equity (%) | 33.46% | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ERROR:#DIV/0! | ||||
| 6. Additional Ratios (At least 4 more) | |||||||||
| a. | |||||||||
| b. | |||||||||
| c. | |||||||||
| d. |
APPL Q Rev.
| Apple Quarterly Sales (Actual) | |||||
| Date | Q Sales | Y Sales | Apple Quarterly Sales Dec 2014 to Jun 2022 | ||
| 12/27/14 | 74,599 | ||||
| 3/28/15 | 58,010 | ||||
| 6/27/15 | 49,605 | ||||
| 9/26/15 | 51,501 | 233,715 | |||
| 12/26/15 | 75,872 | ||||
| 3/26/16 | 50,557 | ||||
| 6/25/16 | 42,358 | ||||
| 9/24/16 | 46,852 | 215,639 | |||
| 12/31/16 | 78,351 | ||||
| 4/1/17 | 52,896 | ||||
| 7/1/17 | 45,408 | ||||
| 9/30/17 | 52,579 | 229,234 | |||
| 12/30/17 | 88,293 | ||||
| 3/31/18 | 61,137 | ||||
| 6/30/18 | 53,265 | ||||
| 9/29/18 | 62,900 | 265,595 | |||
| 12/29/18 | 84,310 | ||||
| 3/30/19 | 58,015 | ||||
| 6/29/19 | 53,809 | ||||
| 9/28/19 | 64,040 | 260,174 | |||
| 12/28/19 | 91,819 | ||||
| 3/28/20 | 58,313 | ||||
| 6/27/20 | 59,685 | ||||
| 9/26/20 | 64,698 | 274,515 | |||
| 12/26/20 | 111,439 | ||||
| 3/27/21 | 89,584 | ||||
| 6/26/21 | 81,434 | ||||
| 9/25/21 | 83,360 | 365,817 | |||
| 12/25/21 | 123,945 | ||||
| 3/26/22 | 97,278 | ||||
| 6/25/22 | 82,959 | ||||
| *All figures in millions of dollars | |||||
Q Sales 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 83360 123945 97278 82959
Millions of Dollars
Apple Yearly Sales
Y Sales 42273 42637 43008 43372 43736 44100 44464 233715 215639 229234 265595 260174 274515 365817
% Sales vs. Trend
| Forecasting Variable Costs (% of Sales Method) & Fixed Investment or Fixed Expense (Trend Method) | ||||||
| Date | Y Sales | Q Sales | Cost of Sales | net PPE | ||
| actual | 12/27/14 | 74,599 | 44,858 | 20,392 | ||
| 3/28/15 | 58,010 | 34,354 | 20,151 | |||
| 6/27/15 | 49,605 | 29,924 | 21,149 | |||
| 9/26/15 | 233,715 | 51,501 | 30,953 | 27,010 | ||
| 12/26/15 | 75,872 | 45,449 | 22,300 | |||
| 3/26/16 | 50,557 | 30,636 | 23,203 | |||
| 6/25/16 | 42,358 | 26,252 | 25,448 | |||
| 9/24/16 | 215,639 | 46,852 | 29,030 | 33,783 | ||
| 12/31/16 | 78,351 | 48,175 | 26,510 | |||
| 4/1/17 | 52,896 | 32,305 | 27,163 | |||
| 7/1/17 | 45,408 | 27,920 | 29,286 | |||
| 9/30/17 | 229,234 | 52,579 | 32,648 | 41,304 | ||
| 12/30/17 | 88,293 | 54,381 | 33,679 | |||
| 3/31/18 | 61,137 | 37,715 | 35,077 | |||
| 6/30/18 | 53,265 | 32,844 | 38,117 | |||
| 9/29/18 | 265,595 | 62,900 | 38,816 | 37,378 | ||
| 12/29/18 | 84,310 | 52,279 | 39,597 | |||
| 3/30/19 | 58,015 | 36,194 | 38,746 | |||
| 6/29/19 | 53,809 | 33,582 | 37,636 | |||
| 9/28/19 | 260,174 | 64,040 | 39,726 | 36,766 | ||
| 12/28/19 | 91,819 | 56,602 | 37,031 | |||
| 3/28/20 | 58,313 | 35,943 | 35,889 | |||
| 6/27/20 | 59,685 | 37,005 | 35,687 | |||
| 9/26/20 | 274,515 | 64,698 | 40,009 | 39,440 | ||
| 12/26/20 | 111,439 | 67,111 | 37,933 | |||
| 3/27/21 | 89,584 | 51,505 | 37,815 | |||
| 6/26/21 | 81,434 | 46,179 | 38,615 | |||
| 9/25/21 | 365,817 | 83,360 | 48,186 | 42,117 | ||
| 12/25/21 | 123,945 | 69,702 | 39,245 | |||
| 3/26/22 | 97,278 | 54,719 | 39,304 | |||
| 6/25/22 | 82,959 | 47,074 | 40,335 | |||
| Forcast | 9/25/22 | 43,968 | =TREND(F5:F35,B5:B35,B36:B39,TRUE) | |||
| 12/25/22 | 44,621 | |||||
| 3/26/23 | 45,275 | |||||
| 6/25/23 | 45,929 | |||||
| *All figures in millions of dollars | ||||||
| \ |
Cost of Sales
74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 833 60 123945 97278 82959 44858 34354 29924 30953 45449 30636 26252 29030 48175 32305 27920 32648 54381 37715 32844 38816 52279 36194 33582 39726 56602 35943 37005 40009 67111 51505 46179 48186 69702 54719 47074
Q Sales 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 5968 5 64698 111439 89584 81434 83360 123945 97278 82959 Cost of Sales 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44858 34354 29924 30953 45449 30636 26252 29030 48175 32305 27920 32648 54381 37715 32844 38816 52279 36194 33582 39726 56602 35943 37005 40009 67111 51505 46179 48186 69702 54719 47074
74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 83360 123945 97278 82959 0 20392 20151 21149 27010 22300 23203 25448 33783 26510 27163 29286 41304 33679 35077 38117 37378 39597 38746 37636 36766 37031 35889 35687 39440 37933 37815 38615 42117 39245 39304 40335
74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 83360 123945 97278 82959 0 20392 20151 21149 27010 22300 23203 25448 33783 26510 27163 29286 41304 33679 35077 38117 37378 39597 38746 37636 36766 37031 35889 35687 39440 37933 37815 38615 42117 39245 39304 40335 43967.669513600762 44621.43307855376 45275.196643506701 45928.960208459641
CMA
| Apple Quarter Sales Forecasting: Trend Method (Central Moving Average) | ||||
| : A wrong ST financial planning application for a firm with Seasonality | ||||
| Date | Q Sales | CMA4 | ||
| Actual | 12/27/14 | 74,599 | 58,588 | |
| 3/28/15 | 58,010 | 57,815 | ||
| 6/27/15 | 49,605 | 55,978 | =AVERAGE(AVERAGE(C8:C11),AVERAGE(C9:C12)) | |
| 9/26/15 | 51,501 | 54,491 | ||
| 12/26/15 | 75,872 | 54,220 | ||
| 3/26/16 | 50,557 | 54,822 | ||
| 6/25/16 | 42,358 | 55,496 | ||
| 9/24/16 | 46,852 | 56,593 | ||
| 12/31/16 | 78,351 | 58,551 | ||
| 4/1/17 | 52,896 | 60,824 | ||
| 7/1/17 | 45,408 | 62,836 | ||
| 9/30/17 | 52,579 | 65,109 | ||
| 12/30/17 | 88,293 | 65,901 | ||
| 3/31/18 | 61,137 | 65,013 | ||
| 6/30/18 | 53,265 | 64,691 | ||
| 9/29/18 | 62,900 | 64,901 | ||
| 12/29/18 | 84,310 | 65,982 | ||
| 3/30/19 | 58,015 | 66,958 | ||
| 6/29/19 | 53,809 | 67,730 | ||
| 9/28/19 | 64,040 | 68,547 | ||
| 12/28/19 | 91,819 | 71,081 | ||
| 3/28/20 | 58,313 | 77,443 | ||
| 6/27/20 | 59,685 | 84,070 | ||
| 9/26/20 | 64,698 | 89,122 | ||
| 12/26/20 | 111,439 | 93,018 | ||
| 3/27/21 | 89,584 | 95,543 | ||
| 6/26/21 | 81,434 | 96,695 | ||
| 9/25/21 | 83,360 | 97,821 | ||
| 12/25/21 | 123,945 | 94,786 | ||
| 3/26/22 | 97,278 | 90,348 | ||
| 6/25/22 | 82,959 | 91,368 | ||
| Forecast | 9/25/22 | 90,843 | 93,531 | |
| 12/25/22 | 92,186 | 94,877 | ||
| 3/26/23 | 93,529 | 95,887 | ||
| 6/25/23 | 94,872 | 96,562 | ||
| 9/25/23 | 96,229 | |||
| 12/25/23 | 97,572 | |||
| =TREND(C6:C36,B6:B36,B37:B42,TRUE) | ||||
| *All figures in millions of dollars | ||||
42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44829 44920 45011 45102 45194 45285 74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58 313 59685 64698 111439 89584 81434 83360 123945 97278 82959 90843.4221936994 92186.146758819465 93528.871323939646 94871.59588905971 96229.075669181184 97571.800234301249 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44829 44920 45011 45102 45194 45285 58587.875 57815.375 55977.875 54490.875 54219.625 54821.875 55495.5 56592.625 58551.25 60824.125 62836.375 65108.625 65900.875 65012.75 64690.5 64901 65982.125 66958 67729.75 68546.5 71081.25 77442.625 84070.125 89121.5 93017.5 95542.5 96694.875 97820.927774212425 94786.498893277283 90348.001153622172 91368.434555247091 93530.715725814778 94877.129094685224 95887.246521650581 96562.297607960965
Forecast Factors
| Apple Quarter Sales Forecasting: CMA4, Seasonal Index, & Irregularity | ||||||||||||
| Data | Seasonal Index | |||||||||||
| Date | Fiscal QTR | Sales | CMA4 | Raw Seasonals | Seasonal Index | Irregular | Sales Reconstruction | Quarter | Raw Factors | Normalized Seaonal Index | ||
| 12/27/14 | 1 | 74,599 | =AVERAGE(AVERAGE(D5:D8),AVERAGE(D6:D9)) | 1 | 1.348 | 1.355 | ||||||
| 3/28/15 | 2 | 58,010 | =D7/E7 | =VLOOKUP(C7,$K$5:$M$8,3,FALSE) | 2 | 0.925 | 1.054 | |||||
| 6/27/15 | 3 | 49,605 | 58,588 | 0.847 | 0.956 | 3 | 0.816 | 0.956 | ||||
| 9/26/15 | 4 | 51,501 | 57,815 | 0.891 | 1.000 | 4 | 0.892 | 1.000 | ||||
| 12/26/15 | 1 | 75,872 | 55,978 | 1.355 | 1.355 | =AVERAGEIF(C7:C33,K5,F7:F33) | =L5/AVERAGE(L5:L8) | |||||
| 3/26/16 | 2 | 50,557 | 54,491 | 0.928 | 1.054 | =AVERAGEIF(C8:C34,K6,F8:F34) | =L6/AVERAGE(L6:L9) | |||||
| 6/25/16 | 3 | 42,358 | 54,220 | 0.781 | 0.956 | =AVERAGEIF(C9:C35,K7,F9:F35) | =L7/AVERAGE(L7:L10) | |||||
| 9/24/16 | 4 | 46,852 | 54,822 | 0.855 | 1.000 | =AVERAGEIF(C10:C36,K8,F10:F36) | =L8/AVERAGE(L8:L11) | |||||
| 12/31/16 | 1 | 78,351 | 55,496 | 1.412 | 1.355 | |||||||
| 4/1/17 | 2 | 52,896 | 56,593 | 0.935 | 1.054 | |||||||
| 7/1/17 | 3 | 45,408 | 58,551 | 0.776 | 0.956 | |||||||
| 9/30/17 | 4 | 52,579 | 60,824 | 0.864 | 1.000 | |||||||
| 12/30/17 | 1 | 88,293 | 62,836 | 1.405 | 1.355 | |||||||
| 3/31/18 | 2 | 61,137 | 65,109 | 0.939 | 1.054 | |||||||
| 6/30/18 | 3 | 53,265 | 65,901 | 0.808 | 0.956 | |||||||
| 9/29/18 | 4 | 62,900 | 65,013 | 0.968 | 1.000 | |||||||
| 12/29/18 | 1 | 84,310 | 64,691 | 1.303 | 1.355 | |||||||
| 3/30/19 | 2 | 58,015 | 64,901 | 0.894 | 1.054 | |||||||
| 6/29/19 | 3 | 53,809 | 65,982 | 0.816 | 0.956 | |||||||
| 9/28/19 | 4 | 64,040 | 66,958 | 0.956 | 1.000 | |||||||
| 12/28/19 | 1 | 91,819 | 67,730 | 1.356 | 1.355 | |||||||
| 3/28/20 | 2 | 58,313 | 68,547 | 0.851 | 1.054 | |||||||
| 6/27/20 | 3 | 59,685 | 71,081 | 0.840 | 0.956 | |||||||
| 9/26/20 | 4 | 64,698 | 77,443 | 0.835 | 1.000 | |||||||
| 12/26/20 | 1 | 111,439 | 84,070 | 1.326 | 1.355 | |||||||
| 3/27/21 | 2 | 89,584 | 89,122 | 1.005 | 1.054 | |||||||
| 6/26/21 | 3 | 81,434 | 93,018 | 0.875 | 0.956 | |||||||
| 9/25/21 | 4 | 83,360 | 95,543 | 0.872 | 1.000 | |||||||
| 12/25/21 | 1 | 123,945 | 96,695 | 1.282 | 1.355 | |||||||
| 3/26/22 | 2 | 97,278 | ERROR:#N/A | ERROR:#N/A | ||||||||
| 6/25/22 | 3 | 82,959 | ||||||||||
| *All figures in millions of dollars | ||||||||||||
Trend
Trend 58587.875 57815.375 55977.875 54490.875 54219.625 54821.875 55495.5 56592.625 58551.25 60824.125 62836.375 65108.625 65900.875 65012.75 64690.5 64901 65982.125 66958 67729.75 68546.5 71081.25 77442.625 84070.125 89121.5 93017.5 95542.5 96694.875
Seasonality
0.95557104466632425 1 1.3546954543048817 1.0541838754858242 0.95557104466632425 1 1.3546954543048817 1.0541838754858242 0.95557104466632425 1 1.3546954543048817 1.0541838754858242 0.95557104466632425 1 1.3546954543048817 1.0541838754858242 0.95557104466632425 1 1.3546954543048817 1.0541838754858242 0.95557104466632425 1 1.3546954543048817 1.0541838754858242 0.95557104466632425 1 1.3546954543048817
Irregular
Apple Quarterly Sales
42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555
Expo Smoothing
| Apple Q Sales Forecasting: Exponential Smoothing Method | |||||||
| Date | Sales | Exp Smoothing | Sensitivity Factors & Forecast Error | ||||
| Actual | 12/27/14 | 74,599 | 74,599 | =C5 | Alpha | 65,535.0000 | |
| 3/28/15 | 58,010 | 74,599 | =D5+$G$5*(C5-D5) | Mean Squared Error (MSE) | 20,106,628,786,425,560,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =SUMXMY2(C5:C35,D5:D35)/COUNT(D5:D35) | |
| 6/27/15 | 49,605 | (1,087,085,516) | =D6+$G$5*(C6-D6) | Mean Absolute % Error (MAPE) | 30699473420530280000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.00% | =AVERAGE(ABS(C5:C35-D5:D35)/C5:C35) | |
| 9/26/15 | 51,501 | 71,244,313,069,219 | =D7+$G$5*(C7-D7) | ||||
| 12/26/15 | 75,872 | (4,668,924,809,303,079,900) | =D8+$G$5*(C8-D8) | ||||
| 3/26/16 | 50,557 | 305,973,318,452,873,060,000,000 | =D9+$G$5*(C9-D9) | ||||
| 6/25/16 | 42,358 | (20,051,655,451,490,585,000,000,000,000) | =D10+$G$5*(C10-D10) | ||||
| 9/24/16 | 46,852 | 1,314,065,188,357,984,000,000,000,000,000,000 | =D11+$G$5*(C11-D11) | ||||
| 12/31/16 | 78,351 | (86,115,948,053,852,120,000,000,000,000,000,000,000) | =D12+$G$5*(C12-D12) | ||||
| 4/1/17 | 52,896 | 5,643,522,539,761,146,000,000,000,000,000,000,000,000,000 | =D13+$G$5*(C13-D13) | ||||
| 7/1/17 | 45,408 | (369,842,606,120,707,000,000,000,000,000,000,000,000,000,000,000) | =D14+$G$5*(C14-D14) | ||||
| 9/30/17 | 52,579 | 24,237,265,349,514,413,000,000,000,000,000,000,000,000,000,000,000,000 | =D15+$G$5*(C15-D15) | ||||
| 12/30/17 | 88,293 | (1,588,364,947,415,077,300,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D16+$G$5*(C16-D16) | ||||
| 3/31/18 | 61,137 | 104,091,908,463,899,680,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D17+$G$5*(C17-D17) | ||||
| 6/30/18 | 53,265 | (6,821,559,129,273,202,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D18+$G$5*(C18-D18) | ||||
| 9/29/18 | 62,900 | 447,044,055,977,790,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D19+$G$5*(C19-D19) | ||||
| 12/29/18 | 84,310 | (29,296,585,164,448,486,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D20+$G$5*(C20-D20) | ||||
| 3/30/19 | 58,015 | 1,919,922,412,166,967,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D21+$G$5*(C21-D21) | ||||
| 6/29/19 | 53,809 | (125,820,195,358,950,050,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D22+$G$5*(C22-D22) | ||||
| 9/28/19 | 64,040 | 8,245,500,682,653,433,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D23+$G$5*(C23-D23) | ||||
| 12/28/19 | 91,819 | (540,360,641,737,010,100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D24+$G$5*(C24-D24) | ||||
| 3/28/20 | 58,313 | 35,411,994,295,593,215,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D25+$G$5*(C25-D25) | ||||
| 6/27/20 | 59,685 | (2,320,689,634,167,405,600,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D26+$G$5*(C26-D26) | ||||
| 9/26/20 | 64,698 | 152,084,074,485,526,750,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D27+$G$5*(C27-D27) | ||||
| 12/26/20 | 111,439 | (9,966,677,737,334,510,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D28+$G$5*(C28-D28) | ||||
| 3/27/21 | 89,584 | 653,156,258,838,479,800,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D29+$G$5*(C29-D29) | ||||
| 6/26/21 | 81,434 | (42,803,942,266,720,930,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D30+$G$5*(C30-D30) | ||||
| 9/25/21 | 83,360 | 2,805,113,552,507,289,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D31+$G$5*(C31-D31) | ||||
| 12/25/21 | 123,945 | (183,830,311,550,012,630,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D32+$G$5*(C32-D32) | ||||
| 3/26/22 | 97,278 | 12,047,135,637,118,528,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D33+$G$5*(C33-D33) | ||||
| 6/25/22 | 82,959 | (789,496,986,842,925,800,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) | =D34+$G$5*(C34-D34) | ||||
| Forecast | 9/22/22 | 51,738,895,535,764,290,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 | =D35+$G$5*(C35-D35) | ||||
| All figures in millions of dollars |
Linear Trend Expo
| Apple Q Sales Forecasting: Linear Trend Exponential Smoothing Method | ||||||||
| Sensitivity Factors & Forecast Error | ||||||||
| Alpha | 0.1692 | |||||||
| Beta | 0.2878 | |||||||
| Mean Squared Error (MSE) | 322,786,038 | =SUMXMY2(C13:C42,F13:F42)/COUNT(C13:C42) | ||||||
| Mean Absolute % Error (MAPE) | 19.58% | =AVERAGE(ABS(C13:C42-F13:F42)/C13:C42) | ||||||
| Sales Forecasting | ||||||||
| Date | Sales | Level (simple) | Trend (change) | Forecast | ||||
| Actual | 12/27/14 | 74,599 | 74,599 | =C12 | ||||
| 3/28/15 | 58,010 | 71,792 | (808) | 74,599 | =$D$5*C13+(1-$D$5)*(D12+E12) | =$D$6*(D13-D12)+(1-$D$6)*E12 | =SUM(D12:E12) | |
| 6/27/15 | 49,605 | 67,366 | (1,849) | 70,984 | =$D$5*C14+(1-$D$5)*(D13+E13) | =$D$6*(D14-D13)+(1-$D$6)*E13 | =SUM(D13:E13) | |
| 9/26/15 | 51,501 | 63,145 | (2,532) | 65,517 | =$D$5*C15+(1-$D$5)*(D14+E14) | =$D$6*(D15-D14)+(1-$D$6)*E14 | =SUM(D14:E14) | |
| 12/26/15 | 75,872 | 63,196 | (1,789) | 60,614 | =$D$5*C16+(1-$D$5)*(D15+E15) | =$D$6*(D16-D15)+(1-$D$6)*E15 | =SUM(D15:E15) | |
| 3/26/16 | 50,557 | 59,571 | (2,317) | 61,407 | ||||
| 6/25/16 | 42,358 | 54,733 | (3,043) | 57,254 | ||||
| 9/24/16 | 46,852 | 50,872 | (3,278) | 51,691 | ||||
| 12/31/16 | 78,351 | 52,798 | (1,780) | 47,594 | ||||
| 4/1/17 | 52,896 | 51,336 | (1,689) | 51,018 | ||||
| 7/1/17 | 45,408 | 48,930 | (1,895) | 49,647 | ||||
| 9/30/17 | 52,579 | 47,973 | (1,625) | 47,034 | ||||
| 12/30/17 | 88,293 | 53,445 | 418 | 46,347 | ||||
| 3/31/18 | 61,137 | 55,094 | 772 | 53,863 | ||||
| 6/30/18 | 53,265 | 55,426 | 645 | 55,866 | ||||
| 9/29/18 | 62,900 | 57,227 | 978 | 56,071 | ||||
| 12/29/18 | 84,310 | 62,622 | 2,249 | 58,205 | ||||
| 3/30/19 | 58,015 | 63,711 | 1,915 | 64,871 | ||||
| 6/29/19 | 53,809 | 63,627 | 1,340 | 65,627 | ||||
| 9/28/19 | 64,040 | 64,810 | 1,295 | 64,967 | ||||
| 12/28/19 | 91,819 | 70,456 | 2,547 | 66,105 | ||||
| 3/28/20 | 58,313 | 70,517 | 1,832 | 73,003 | ||||
| 6/27/20 | 59,685 | 70,206 | 1,215 | 72,349 | ||||
| 9/26/20 | 64,698 | 70,283 | 887 | 71,421 | ||||
| 12/26/20 | 111,439 | 77,985 | 2,849 | 71,171 | ||||
| 3/27/21 | 89,584 | 82,314 | 3,275 | 80,833 | ||||
| 6/26/21 | 81,434 | 84,886 | 3,073 | 85,589 | =$D$5*C38+(1-$D$5)*(D37+E37) | =$D$6*(D38-D37)+(1-$D$6)*E37 | =SUM(D37:E37) | |
| 9/25/21 | 83,360 | 87,180 | 2,849 | 87,958 | =$D$5*C39+(1-$D$5)*(D38+E38) | =$D$6*(D39-D38)+(1-$D$6)*E38 | =SUM(D38:E38) | |
| 12/25/21 | 123,945 | 95,768 | 4,500 | 90,029 | =$D$5*C40+(1-$D$5)*(D39+E39) | =$D$6*(D40-D39)+(1-$D$6)*E39 | =SUM(D39:E39) | |
| 3/26/22 | 97,278 | 99,762 | 4,355 | 100,268 | =$D$5*C41+(1-$D$5)*(D40+E40) | =$D$6*(D41-D40)+(1-$D$6)*E40 | =SUM(D40:E40) | |
| 6/25/22 | 82,959 | 100,537 | 3,324 | 104,117 | =$D$5*C42+(1-$D$5)*(D41+E41) | =$D$6*(D42-D41)+(1-$D$6)*E41 | =SUM(D41:E41) | |
| Forecast | 9/22/22 | 103,861 | =$D$42+$E$42*(ROW()-ROW($F$42)) | |||||
| 12/22/22 | 107,185 | =$D$42+$E$42*(ROW()-ROW($F$42)) | ||||||
| 3/23/23 | 110,510 | =$D$42+$E$42*(ROW()-ROW($F$42)) | ||||||
| 6/23/23 | 113,834 | =$D$42+$E$42*(ROW()-ROW($F$42)) |
Sales 42000 42091 42182 42273 423 64 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44826 44917 45008 45100 74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 83360 123945 97278 82959 Forecast 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44826 44917 45008 45100 74599 70983.956483573915 65517.139839175426 60613.568154022476 61406.810150574034 57253.743950072298 51690.563597551765 47593.538878501335 51017.873937786986 49646.898095115917 47034.38464156929 46347.423574007138 53862.937475636136 55865.828620690867 56071.079944820689 58204.572854923026 64871.363201288768 65626.627864231763 64966.809057887229 66104.728147990609 73003.081678067989 72348.98930013481 71420.949675525946 71170.780024034902 80833.400972725372 85588.995159982369 87958.418057933319 90028.845137300654 100268.33261053542 104117.08912589778 103861.12057128936 107185.39385326623 110509.6671352431 113833.94041721997
HWAS Model
| Apple Q Sales Forecasting: Holt-Winters Additive Seasonal (HWAS) Model | ||||||||||
| Sensitivity Factors & Forecast Error | ||||||||||
| Alpha | 0.5995 | |||||||||
| Beta | 0.0648 | |||||||||
| Gamma | 1.0000 | |||||||||
| Mean Squared Error (MSE) | 44,486,505 | =SUMXMY2(C17:C43,G17:G43)/COUNT(C17:C43) | ||||||||
| Mean Absolute % Error (MAPE) | 6.64% | =AVERAGE(ABS(C17:C43-G17:G43)/C17:C43) | ||||||||
| Sales Forecasting | ||||||||||
| Date | Sales | Level (simple) | Trend (change) | Seasonal | Forecast | |||||
| Actual | 12/27/14 | 74,599 | 16,170 | =C13-$D$16 | ||||||
| 3/28/15 | 58,010 | (419) | =C14-$D$16 | |||||||
| 6/27/15 | 49,605 | (8,824) | =C15-$D$16 | |||||||
| 9/26/15 | 51,501 | 58,429 | - 0 | (6,928) | =AVERAGE(C13:C16) | =C16-$D$16 | ||||
| 12/26/15 | 75,872 | 59,192 | 49 | 16,680 | 74,599 | =$D$5*(C17-F13)+(1-$D$5)*(D16+E16) | =$D$6*(D17-D16)+(1-$D$6)*E16 | =$D$7*(C17-D17)+(1-$D$7)*F13 | =SUM(D16:E16)+F13 | |
| 3/26/16 | 50,557 | 54,286 | (272) | (3,729) | 58,823 | =$D$5*(C18-F14)+(1-$D$5)*(D17+E17) | =$D$6*(D18-D17)+(1-$D$6)*E17 | =$D$7*(C18-D18)+(1-$D$7)*F14 | =SUM(D17:E17)+F14 | |
| 6/25/16 | 42,358 | 52,316 | (382) | (9,958) | 45,191 | =$D$5*(C19-F15)+(1-$D$5)*(D18+E18) | =$D$6*(D19-D18)+(1-$D$6)*E18 | =$D$7*(C19-D19)+(1-$D$7)*F15 | =SUM(D18:E18)+F15 | |
| 9/24/16 | 46,852 | 53,041 | (310) | (6,189) | 45,007 | |||||
| 12/31/16 | 78,351 | 58,090 | 37 | 20,261 | 69,411 | |||||
| 4/1/17 | 52,896 | 57,227 | (21) | (4,331) | 54,398 | |||||
| 7/1/17 | 45,408 | 56,103 | (93) | (10,695) | 47,247 | |||||
| 9/30/17 | 52,579 | 57,664 | 15 | (5,085) | 49,822 | |||||
| 12/30/17 | 88,293 | 63,885 | 417 | 24,408 | 77,939 | |||||
| 3/31/18 | 61,137 | 65,001 | 462 | (3,864) | 59,971 | |||||
| 6/30/18 | 53,265 | 64,562 | 404 | (11,297) | 54,768 | |||||
| 9/29/18 | 62,900 | 66,775 | 521 | (3,875) | 59,881 | |||||
| 12/29/18 | 84,310 | 62,864 | 234 | 21,446 | 91,704 | |||||
| 3/30/19 | 58,015 | 62,367 | 186 | (4,352) | 59,233 | |||||
| 6/29/19 | 53,809 | 64,084 | 285 | (10,275) | 51,256 | |||||
| 9/28/19 | 64,040 | 66,495 | 423 | (2,455) | 60,494 | |||||
| 12/28/19 | 91,819 | 68,989 | 557 | 22,830 | 88,365 | |||||
| 3/28/20 | 58,313 | 65,421 | 290 | (7,108) | 65,195 | |||||
| 6/27/20 | 59,685 | 68,258 | 455 | (8,573) | 55,437 | |||||
| 9/26/20 | 64,698 | 67,778 | 395 | (3,080) | 66,258 | |||||
| 12/26/20 | 111,439 | 80,424 | 1,188 | 31,015 | 91,002 | |||||
| 3/27/21 | 89,584 | 90,652 | 1,774 | (1,068) | 74,504 | |||||
| 6/26/21 | 81,434 | 90,976 | 1,680 | (9,542) | 83,853 | |||||
| 9/25/21 | 83,360 | 88,929 | 1,438 | (5,569) | 89,576 | =$D$5*(C40-F36)+(1-$D$5)*(D39+E39) | =$D$6*(D40-D39)+(1-$D$6)*E39 | =$D$7*(C40-D40)+(1-$D$7)*F36 | =SUM(D39:E39)+F36 | |
| 12/25/21 | 123,945 | 91,904 | 1,538 | 32,041 | 121,383 | =$D$5*(C41-F37)+(1-$D$5)*(D40+E40) | =$D$6*(D41-D40)+(1-$D$6)*E40 | =$D$7*(C41-D41)+(1-$D$7)*F37 | =SUM(D40:E40)+F37 | |
| 3/26/22 | 97,278 | 96,382 | 1,728 | 896 | 92,373 | =$D$5*(C42-F38)+(1-$D$5)*(D41+E41) | =$D$6*(D42-D41)+(1-$D$6)*E41 | =$D$7*(C42-D42)+(1-$D$7)*F38 | =SUM(D41:E41)+F38 | |
| 6/25/22 | 82,959 | 94,748 | 1,511 | (11,789) | 88,568 | =$D$5*(C43-F39)+(1-$D$5)*(D42+E42) | =$D$6*(D43-D42)+(1-$D$6)*E42 | =$D$7*(C43-D43)+(1-$D$7)*F39 | =SUM(D42:E42)+F39 | |
| Forecast | 9/22/22 | 90,689 | =$D$43+$E$43*(ROW()-ROW($G$43))+F40 | |||||||
| 12/22/22 | 129,810 | =$D$43+$E$43*(ROW()-ROW($G$43))+F41 | ||||||||
| 3/23/23 | 100,175 | =$D$43+$E$43*(ROW()-ROW($G$43))+F42 | ||||||||
| 6/23/23 | 89,001 | =$D$43+$E$43*(ROW()-ROW($G$43))+F43 | ||||||||
42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44826 44917 45008 45100 74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 83360 123945 97278 82959 0 74599 58822.578292398044 45190.949600872365 45007.080207518346 69411.020193717515 54398.295390970779 47247.465210228584 49821.780610317968 77938.78823666423 59970.965682977141 54767.72799555755 59881.048836202055 91703.933028899279 59233.398788120336 51256.281261963144 60493.702228277507 88364.592740847904 65194.544623065434 55436.61492269054 66258.11297809855 91002.296094007994 74503.938311746082 83852.997477223107 89575.834558080198 121382.99315373965 92373.40569936308 88568.414087296202 90688.690879234273 129809.93058376887 100175.33463812681 89001.253483702705
HWMS Model
| Apple Q Sales Forecasting: Holt-Winters Multiplicative Seasonal (HWMS) Model | ||||||||||
| Sensitivity Factors & Forecast Error | ||||||||||
| Alpha | 0.9364 | |||||||||
| Beta | 0.0339 | |||||||||
| Gamma | 0.9853 | |||||||||
| Mean Squared Error (MSE) | 47,341,137 | =SUMXMY2(C17:C43,G17:G43)/COUNT(C17:C43) | ||||||||
| Mean Absolute % Error (MAPE) | 7.78% | =AVERAGE(ABS(C17:C43-G17:G43)/C17:C43) | ||||||||
| Sales Forecasting | ||||||||||
| Date | Sales | Level (simple) | Trend (change) | Seasonal | Forecast | |||||
| Actual | 12/27/14 | 74,599 | 1.28 | =C13/$D$16 | ||||||
| 3/28/15 | 58,010 | 0.99 | =C14/$D$16 | |||||||
| 6/27/15 | 49,605 | 0.85 | =C15/$D$16 | |||||||
| 9/26/15 | 51,501 | 58,429 | - 0 | 0.88 | =AVERAGE(C13:C16) | =C16/$D$16 | ||||
| 12/26/15 | 75,872 | 59,362 | 32 | 1.28 | 74,599 | =$E$5*(C17/F13)+(1-$E$5)*(D16+E16) | =$E$6*(D17-D16)+(1-$E$6)*E16 | =$E$7*(C17/D17)+(1-$E$7)*F13 | =SUM(D16:E16)*F13 | |
| 3/26/16 | 50,557 | 51,461 | (238) | 0.98 | 58,968 | =$E$5*(C18/F14)+(1-$E$5)*(D17+E17) | =$E$6*(D18-D17)+(1-$E$6)*E17 | =$E$7*(C18/D18)+(1-$E$7)*F14 | =SUM(D17:E17)*F14 | |
| 6/25/16 | 42,358 | 49,977 | (280) | 0.85 | 43,488 | |||||
| 9/24/16 | 46,852 | 52,935 | (170) | 0.89 | 43,805 | |||||
| 12/31/16 | 78,351 | 60,760 | 101 | 1.29 | 67,438 | |||||
| 4/1/17 | 52,896 | 54,280 | (122) | 0.97 | 59,802 | |||||
| 7/1/17 | 45,408 | 53,612 | (141) | 0.85 | 45,903 | |||||
| 9/30/17 | 52,579 | 59,031 | 48 | 0.89 | 47,324 | |||||
| 12/30/17 | 88,293 | 67,881 | 347 | 1.30 | 76,174 | |||||
| 3/31/18 | 61,137 | 63,079 | 172 | 0.97 | 66,496 | |||||
| 6/30/18 | 53,265 | 62,911 | 161 | 0.85 | 53,573 | |||||
| 9/29/18 | 62,900 | 70,145 | 401 | 0.90 | 56,172 | |||||
| 12/29/18 | 84,310 | 65,191 | 219 | 1.29 | 91,747 | |||||
| 3/30/19 | 58,015 | 60,206 | 42 | 0.96 | 63,401 | |||||
| 6/29/19 | 53,809 | 63,343 | 147 | 0.85 | 51,011 | |||||
| 9/28/19 | 64,040 | 70,919 | 400 | 0.90 | 56,927 | |||||
| 12/28/19 | 91,819 | 71,012 | 389 | 1.29 | 92,242 | |||||
| 3/28/20 | 58,313 | 61,203 | 43 | 0.95 | 68,808 | |||||
| 6/27/20 | 59,685 | 69,690 | 330 | 0.86 | 52,025 | |||||
| 9/26/20 | 64,698 | 71,551 | 382 | 0.90 | 63,221 | |||||
| 12/26/20 | 111,439 | 85,279 | 835 | 1.31 | 93,010 | |||||
| 3/27/21 | 89,584 | 93,506 | 1,086 | 0.96 | 82,061 | |||||
| 6/26/21 | 81,434 | 95,064 | 1,102 | 0.86 | 81,002 | |||||
| 9/25/21 | 83,360 | 92,444 | 975 | 0.90 | 86,953 | |||||
| 12/25/21 | 123,945 | 94,772 | 1,021 | 1.31 | 122,058 | =$E$5*(C41/F37)+(1-$E$5)*(D40+E40) | =$E$6*(D41-D40)+(1-$E$6)*E40 | =$E$7*(C41/D41)+(1-$E$7)*F37 | =SUM(D40:E40)*F37 | |
| 3/26/22 | 97,278 | 101,179 | 1,204 | 0.96 | 91,768 | =$E$5*(C42/F38)+(1-$E$5)*(D41+E41) | =$E$6*(D42-D41)+(1-$E$6)*E41 | =$E$7*(C42/D42)+(1-$E$7)*F38 | =SUM(D41:E41)*F38 | |
| 6/25/22 | 82,959 | 97,197 | 1,028 | 0.85 | 87,703 | =$E$5*(C43/F39)+(1-$E$5)*(D42+E42) | =$E$6*(D43-D42)+(1-$E$6)*E42 | =$E$7*(C43/D43)+(1-$E$7)*F39 | =SUM(D42:E42)*F39 | |
| Forecast | 9/22/22 | 88,576 | =($D$43+$E$43*(ROW()-ROW($G$43)))*F40 | |||||||
| 12/22/22 | 129,803 | =($D$43+$E$43*(ROW()-ROW($G$43)))*F41 | ||||||||
| 3/23/23 | 96,409 | =($D$43+$E$43*(ROW()-ROW($G$43)))*F42 | ||||||||
| 6/23/23 | 86,473 | =($D$43+$E$43*(ROW()-ROW($G$43)))*F43 |
Sales 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44826 44917 45008 45100 74599 58010 49605 51501 75872 50557 42358 46852 78351 52896 45408 52579 88293 61137 53265 62900 84310 58015 53809 64040 91819 58313 59685 64698 111439 89584 81434 83360 123945 97278 82959 Forecast 42000 42091 42182 42273 42364 42455 42546 42637 42735 42826 42917 43008 43099 43190 43281 43372 43463 43554 43645 43736 43827 43918 44009 44100 44191 44282 44373 44464 44555 44646 44737 44826 44917 45008 45100 74599 58968.419021043854 43487.616669651339 43804.897112982922 67438.068612107396 59801.676957074706 45902.687636832066 47324.086010583436 76173.75698000718 66495.987626776623 53572.922845306719 56172.4 27092952326 91746.97856944926 63401.156718602637 51011.366584151896 56926.96677434694 92242.047658378186 68808.152238792434 52025.263019116908 63221.323569402019 93009.538245881413 82060.991646480848 81001.960361608377 86953.267495525899 122057.78024872173 91768.067477119694 87703.219733479753 88576.09240498404 129803.09683370905 96409.19814057344 86473.03059496879
ETS
| Error Trend Seasonal (ETS) for Scenario Analysis | |||||||||
| Date | Sales | Forecast | Lower Confidence Bound | Upper Confidence Bound | |||||
| 12/27/14 | 74,599 | ||||||||
| 3/28/15 | 58,010 | ||||||||
| 6/27/15 | 49,605 | ||||||||
| 9/26/15 | 51,501 | ||||||||
| 12/26/15 | 75,872 | ||||||||
| 3/26/16 | 50,557 | ||||||||
| 6/25/16 | 42,358 | ||||||||
| 9/24/16 | 46,852 | ||||||||
| 12/31/16 | 78,351 | ||||||||
| 4/1/17 | 52,896 | ||||||||
| 7/1/17 | 45,408 | ||||||||
| 9/30/17 | 52,579 | ||||||||
| 12/30/17 | 88,293 | ||||||||
| 3/31/18 | 61,137 | ||||||||
| 6/30/18 | 53,265 | ||||||||
| 9/29/18 | 62,900 | ||||||||
| 12/29/18 | 84,310 | ||||||||
| 3/30/19 | 58,015 | ||||||||
| 6/29/19 | 53,809 | ||||||||
| 9/28/19 | 64,040 | ||||||||
| 12/28/19 | 91,819 | ||||||||
| 3/28/20 | 58,313 | ||||||||
| 6/27/20 | 59,685 | ||||||||
| 9/26/20 | 64,698 | ||||||||
| 12/26/20 | 111,439 | ||||||||
| 3/27/21 | 89,584 | ||||||||
| 6/26/21 | 81,434 | ||||||||
| 9/25/21 | 83,360 | ||||||||
| 12/25/21 | 123,945 | ||||||||
| 3/26/22 | 97,278 | ||||||||
| 6/25/22 | 82,959 | 82,959 | 82,959 | 82,959 | =[@Sales] | =[@Forecast] | =[@[Lower Confidence Bound]] | ||
| 9/22/22 | 88,321 | 75,305 | 101,338 | =FORECAST.ETS(B36,$C$5:$C$35,$B$5:$B$35,1,1) | =D36-FORECAST.ETS.CONFINT(B36,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | =D36+FORECAST.ETS.CONFINT(B36,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | |||
| 12/22/22 | 118,828 | 104,069 | 133,587 | =FORECAST.ETS(B37,$C$5:$C$35,$B$5:$B$35,1,1) | =D37-FORECAST.ETS.CONFINT(B37,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | =D37+FORECAST.ETS.CONFINT(B37,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | |||
| 3/23/23 | 96,794 | 80,588 | 112,999 | =FORECAST.ETS(B38,$C$5:$C$35,$B$5:$B$35,1,1) | =D38-FORECAST.ETS.CONFINT(B38,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | =D38+FORECAST.ETS.CONFINT(B38,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | |||
| 6/23/23 | 88,949 | 71,424 | 106,473 | =FORECAST.ETS(B39,$C$5:$C$35,$B$5:$B$35,1,1) | =D39-FORECAST.ETS.CONFINT(B39,$C$5:$C$35,$B$5:$B$35,0.95,1,1) | =D39+FORECAST.ETS.CONFINT(B39,$C$5:$C$35,$B$5:$B$35,0.95,1,1) |
Regression
| Regression Forecasting Model | ||||||||
| Date | Period | Q1 | Q2 | Q3 | Sales | Fit | ||
| Actual | 12/27/14 | 1 | 0 | 0 | 0 | 74,599 | ERROR:#N/A | |
| 3/28/15 | 2 | 1 | 0 | 0 | 58,010 | |||
| 6/27/15 | 3 | 0 | 1 | 0 | 49,605 | |||
| 9/26/15 | 4 | 0 | 0 | 1 | 51,501 | |||
| 12/26/15 | 5 | 0 | 0 | 0 | 75,872 | |||
| 3/26/16 | 6 | 1 | 0 | 0 | 50,557 | |||
| 6/25/16 | 7 | 0 | 1 | 0 | 42,358 | |||
| 9/24/16 | 8 | 0 | 0 | 1 | 46,852 | |||
| 12/31/16 | 9 | 0 | 0 | 0 | 78,351 | |||
| 4/1/17 | 10 | 1 | 0 | 0 | 52,896 | |||
| 7/1/17 | 11 | 0 | 1 | 0 | 45,408 | |||
| 9/30/17 | 12 | 0 | 0 | 1 | 52,579 | |||
| 12/30/17 | 13 | 0 | 0 | 0 | 88,293 | |||
| 3/31/18 | 14 | 1 | 0 | 0 | 61,137 | |||
| 6/30/18 | 15 | 0 | 1 | 0 | 53,265 | |||
| 9/29/18 | 16 | 0 | 0 | 1 | 62,900 | |||
| 12/29/18 | 17 | 0 | 0 | 0 | 84,310 | |||
| 3/30/19 | 18 | 1 | 0 | 0 | 58,015 | |||
| 6/29/19 | 19 | 0 | 1 | 0 | 53,809 | |||
| 9/28/19 | 20 | 0 | 0 | 1 | 64,040 | |||
| 12/28/19 | 21 | 0 | 0 | 0 | 91,819 | |||
| 3/28/20 | 22 | 1 | 0 | 0 | 58,313 | |||
| 6/27/20 | 23 | 0 | 1 | 0 | 59,685 | |||
| 9/26/20 | 24 | 0 | 0 | 1 | 64,698 | |||
| 12/26/20 | 25 | 0 | 0 | 0 | 111,439 | |||
| 3/27/21 | 26 | 1 | 0 | 0 | 89,584 | |||
| 6/26/21 | 27 | 0 | 1 | 0 | 81,434 | |||
| 9/25/21 | 28 | 0 | 0 | 1 | 83,360 | |||
| 12/25/21 | 29 | 0 | 0 | 0 | 123,945 | |||
| 3/26/22 | 30 | 1 | 0 | 0 | 97,278 | |||
| 6/25/22 | 31 | 0 | 1 | 0 | 82,959 | |||
| Forecast | 9/22/22 | 32 | 0 | 0 | 1 | |||
| 12/22/22 | 33 | 0 | 0 | 0 | ||||
| 3/23/23 | 34 | 1 | 0 | 0 | ||||
| 6/23/23 | 35 | 0 | 1 | 0 | ||||
| *Q1,2,3,4 is not fiscal quarter of Apple, but the general quarters in annual. | ||||||||
| *All figures in millions of dollars |