Apple Inc. (AAPL) Discounted Future Market Cap

Apple Inc.

AAPL (NASDAQ)

(%)

Valuation
Apple Inc. Discounted Future Market Cap

"""
    Model: Discounted Future Market Cap

# Render model description
model.render_description(r"""
## Discounted Future Market Cap

This model estimates the intrinsic value of a common share by projecting the Future Market Capitalization using the estimated PE Ratio and then discounting it to the Present using an Annual Required Rate of Return.
""")

# Initialize assumptions
assumptions.init({
    "data": {
        "%discount_rate": None,
        "beta": data.get("profile:beta", default=1),
        "%risk_free_rate": data.get("treasury:year10"),
        "%market_premium": data.get("risk:totalEquityRiskPremium"),
        "pe_ratio": data.get("quote:close") / data.get("income:eps"),
        "%revenue_growth_rate": None,
        "%net_income_margin": None,
        "historical_years": 10,
        "projection_years": 5,
    },
    "hierarchies": [{
        "parent": "%discount_rate",
        "children": ["beta", "%risk_free_rate", "%market_premium"]
    }]
})

# Calculate cost of equity
cost_of_equity = assumptions.get("%risk_free_rate") + assumptions.get("beta") * assumptions.get("%market_premium")
assumptions.set("%discount_rate", cost_of_equity)

# Compute metrics
data.compute({
    "%grossMargin": "income:grossProfit / income:revenue",
    "%operating_margin": "income:operatingIncome / income:revenue",
    "%netMargin": "income:netIncome / income:revenue",
    "%revenueGrowthRate": "function:growth:income:revenue",
    "%netIncomeGrowthRate": "function:growth:income:netIncome",
    "%totalStockholdersEquityGrowthRate": "function:growth:balance:totalStockholdersEquity",

# Calculating NOPAT (Net Operating Profit After Taxes)
    "%taxRate": "income:incomeTaxExpense / income:incomeBeforeTax",
    "incomeTax": "income:operatingIncome * %taxRate",
    "nopat": "income:operatingIncome - incomeTax",

# Calculating Invested Capital
    "investedCapital": [
        "balance:totalNonCurrentAssets", "-", "balance:cashAndCashEquivalents", "+",
        "balance:totalCurrentAssets", "-", "balance:totalCurrentLiabilities"
    ],
    "%roic": "nopat / investedCapital",
})

assumptions.set("%net_income_margin",
                data.average(f"%netMargin:{-assumptions.get('historical_years')}->0"))  # Historical average
assumptions.set("%revenue_growth_rate",
                data.average(f"%revenueGrowthRate:{-assumptions.get('historical_years')}->0"))  # Historical average

# Calculate a linear regression for forecasting revenues
data.compute({
    "linearRegressionRevenue": f"function:linear_regression:income:revenue start:{-assumptions.get('historical_years')}",
}, forecast=assumptions.get("projection_years"))

# Compute forecasted values and ratios
data.compute({
    "income:revenue": f"function:compound:{data.get('linearRegressionRevenue:1')} rate:{assumptions.get('%revenue_growth_rate')} offset:-1",
    "%revenueGrowthRate": "function:growth:income:revenue",
    "income:netIncome": f"income:revenue * {assumptions.get('%net_income_margin')}",
}, forecast=assumptions.get("projection_years"))

projected_revenue = data.get("revenue")
projected_net_income = data.get(f"income:netIncome:{assumptions.get('projection_years')}")

shares_outstanding = data.get("income:weightedAverageShsOut")
future_market_cap = assumptions.get("pe_ratio") * projected_net_income
discounted_future_market_cap = future_market_cap / (
            (1 + assumptions.get("%discount_rate")) ** assumptions.get("projection_years"))

stock_value = discounted_future_market_cap / shares_outstanding

# Set the final value
model.set_final_value({
    "value": stock_value,
    "units": "$"
})

# Render results
model.render_results([
    [stock_value, "Present Value", "$"],
    [projected_net_income, "Estimated net income", "$"],
    [future_market_cap, "Estimated market capitalization", "$"],
    [discounted_future_market_cap, "Market capitalization discounted to present", "$"],
    [shares_outstanding, "Shares Outstanding", "#"],
    [data.get("income:eps"), "Earnings Per Share (EPS)", "$"],
    [data.get("quote:close"), "Market Price", "$"],
    [data.get("ratio:priceEarningsRatio"), "Price to Earnings (PE) Ratio", "#"]
])

# Render chart
model.render_chart({
    "data": {
        "income:revenue": "Revenue",
        "income:netIncome": "Net Income",
        "linearRegressionRevenue": "Linear Regression Revenue"
    },
    "start": -assumptions.get("historical_years"),
    "end": "*",
    "properties": {
        "title": "Historical and forecasted data",
        "number_format": "M",
        "set_editable": [
            "income:revenue",
            "income:netIncome"
        ],
        "hidden_keys": ["linearRegressionRevenue"]
    }
})

# Render table for estimated future values
model.render_table({
    "data": {
        "income:revenue": "Revenue",
        "%revenueGrowthRate": "Revenue Growth Rate",
        "income:netIncome": "Net Income",
    },
    "start": -1,
    "end": "*",
    "properties": {
        "title": "Estimated Future Values",
        "order": "ascending",
        "number_format": "M"
    }
})

# Render historical values table
model.render_table({
    "data": {
        "income:revenue": "Revenue",
        "income:costOfRevenue": "Cost of Revenue",
        "income:grossProfit": "Gross Profit",
        "%grossMargin": "Gross Margin",
        "income:operatingIncome": "Operating Income",
        "%operating_margin": "Operating Margin",
        "income:netIncome": "Net Income",
        "%netMargin": "Net Margin",
    },
    "start": -assumptions.get("historical_years"),
    "end": 0,
    "properties": {
        "title": "Historical Values",
        "display_averages": True,
        "order": "descending",
        "number_format": "M"
    },
})

# Render historical growth rates table
model.render_table({
    "data": {
        "income:revenue": "Revenue",
        "%revenueGrowthRate": "Revenue Growth Rate",
        "income:netIncome": "Net Income",
        "%netMargin": "Net Margin",
        "%netIncomeGrowthRate": "Net Income Growth Rate",
        "balance:totalStockholdersEquity": "Stockholders Equity",
        "%totalStockholdersEquityGrowthRate": "Equity Growth Rate",
        "%roic": "Return on Invested Capital (ROIC)",
        "nopat": "After-tax Operating Income",
        "%taxRate": "Income Tax Rate",
        "investedCapital": "Invested Capital",
    },
    "start": -assumptions.get("historical_years"),
    "end": 0,
    "properties": {
        "title": "Historical Growth Rates",
        "display_averages": True,
        "order": "descending",
        "number_format": "M"
    },
})

# Set description for assumptions
assumptions.set_description({
    "%discount_rate": r"""
        ## Discount Rate

`Discount Rate` = `Cost of Equity` = `Risk Free Rate` + `Beta` * `Market Premium`

The cost of equity is the theoretical rate of return that an equity investment should generate. It is calculated using the CAPM formula.

[Read More](https://www.investopedia.com/terms/c/costofequity.asp#mntl-sc-block_1-0-20)
    """,

"beta": r"""
        ## Beta

Beta is a value that measures the price fluctuations (volatility) of a stock with respect to fluctuations in the overall stock market.
    """,

"%risk_free_rate": r"""
        ## Risk-Free Rate

The risk-free rate represents the interest an investor would expect from an absolutely risk-free investment over a specified period of time.
        By default, it is equal to the current yield of the U.S. 10 Year Treasury Bond.
    """,

"%market_premium": r"""
        ## Market Premium

Market risk premium represents the excess returns over the risk-free rate that investors expect for taking on the incremental risks connected to the equities market.
    """,

"pe_ratio": r"""
        ## Price to Earnings (PE) Ratio

Estimated Price to Earnings (PE) Ratio at the end of the projection period.

`Future Market Cap` = `PE Ratio` * `Projected Net Income`
    """,

"%revenue_growth_rate": r"""
        ## Revenue Growth Rate

The annual revenue growth rate is applied to projected revenue starting from the second projection year onward.
    """,

"%net_income_margin": r"""
        ## Net Income Margin

Net Income expressed as a percentage of Revenue.
    """,

"historical_years": r"""
        ## Historical Years

The number of historical years used to calculate averages for historical data.
    """,

"projection_years": r"""
        ## Projection Years

The number of years for projecting the analysis into the future.
    """,
})

print("End of model.")

Estimated Value

USD

Market Price USD

* Values are not guaranteed, please do your own
research before making investment decisions.

Discounted Future Market Cap

Interactive Assumptions

Discount Rate Discount Rate `Discount Rate` = `Cost of Equity` = `Risk Free Rate` + `Beta` * `Market Premium` The cost of equity is the theoretical rate of return that an equity investment should generate. It is calculated using the CAPM formula. Read More	%
↳ Beta Beta Beta is a value that measures the price fluctuations (volatility) of a stock with respect to fluctuations in the overall stock market.	#
↳ Risk Free Rate Risk-Free Rate The risk-free rate represents the interest an investor would expect from an absolutely risk-free investment over a specified period of time. By default, it is equal to the current yield of the U.S. 10 Year Treasury Bond.	%
↳ Market Premium Market Premium Market risk premium represents the excess returns over the risk-free rate that investors expect for taking on the incremental risks connected to the equities market.	%
Pe Ratio Price to Earnings (PE) Ratio Estimated Price to Earnings (PE) Ratio at the end of the projection period. `Future Market Cap` = `PE Ratio` * `Projected Net Income`	#
Revenue Growth Rate Revenue Growth Rate The annual revenue growth rate is applied to projected revenue starting from the second projection year onward.	%
Net Income Margin Net Income Margin Net Income expressed as a percentage of Revenue.	%
Historical Years Historical Years The number of historical years used to calculate averages for historical data.	#
Projection Years Projection Years The number of years for projecting the analysis into the future.	#

Results
Present Value	177.4 USD
Estimated net income	134.1 Bil. USD
Estimated market capitalization	4,204 Bil. USD
Market capitalization discounted to present	2,660 Bil. USD
Shares Outstanding	14.99 Bil.
Earnings Per Share (EPS)	6.43 USD
Market Price	201.5 USD
Price to Earnings (PE) Ratio	31.05

Historical and forecasted data

In Millions of USD

{"sectionId": "section-chart-1", "sectionType": "chart", "title": "Historical and forecasted data", "dates": [2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029], "series": [{"label": "Revenue", "mappingKey": "income:revenue", "data": [233715, 215639, 229234, 265595, 260174, 274515, 365817, 394328, 383285, 391035, {"y": 425663, "oy": 425663, "e": true, "c": 2025, "g": 8.86, "og": 8.86}, {"y": 459877, "oy": 459877, "e": true, "c": 2026, "g": 8.04, "og": 8.04}, {"y": 496842, "oy": 496842, "e": true, "c": 2027, "g": 8.04, "og": 8.04}, {"y": 536778, "oy": 536778, "e": true, "c": 2028, "g": 8.04, "og": 8.04}, {"y": 579925, "oy": 579925, "e": true, "c": 2029, "g": 8.04, "og": 8.04}], "dataType": ".", "numberFormat": "M", "hidden": false}, {"label": "Net Income", "mappingKey": "income:netIncome", "data": [53394, 45687, 48351, 59531, 55256, 57411, 94680, 99803, 96995, 93736, {"y": 98455, "oy": 98455, "e": true, "c": 2025, "g": 5.04, "og": 5.04}, {"y": 106369, "oy": 106369, "e": true, "c": 2026, "g": 8.04, "og": 8.04}, {"y": 114919, "oy": 114919, "e": true, "c": 2027, "g": 8.04, "og": 8.04}, {"y": 124156, "oy": 124156, "e": true, "c": 2028, "g": 8.04, "og": 8.04}, {"y": 134136, "oy": 134136, "e": true, "c": 2029, "g": 8.04, "og": 8.04}], "dataType": ".", "numberFormat": "M", "hidden": false}, {"label": "Linear Regression Revenue", "mappingKey": "linearRegressionRevenue", "data": [199609, 222215, 244820, 267425, 290031, 312636, 335241, 357847, 380452, 403057, 425663, 448268, 470873, 493478, 516084], "dataType": ".", "numberFormat": "M", "hidden": true}], "editableDates": {"2025": 41, "2026": 42, "2027": 43, "2028": 44, "2029": 45}, "properties": {"number_format": "M", "display_table": true}, "width": "full"}

Edit Chart Values	2025	2026	2027	2028	2029

↳ Growth Rate

Estimated Future Values

amounts of USD except for #	2024	LTM	2025	2026	2027	2028	2029
Revenue	391,035	400,366	425,663	459,878	496,843	536,779	579,925
Revenue Growth Rate	2.02%	2.39%	8.86%	8.04%	8.04%	8.04%	8.04%
Net Income	93,736	97,294	98,456	106,370	114,920	124,157	134,137

Historical Values

amounts of USD except for #	Average	LTM	2024	2023	2022	2021	2020	2019	2018	2017	2016	2015
Revenue	310,337	400,366	391,035	383,285	394,328	365,817	274,515	260,174	265,595	229,234	215,639	233,715
Cost of Revenue	180,208	213,667	210,352	214,137	223,546	212,981	169,559	161,782	163,756	141,048	131,376	140,089
Gross Profit	130,128	186,699	180,683	169,148	170,782	152,836	104,956	98,392	101,839	88,186	84,263	93,626
Gross Margin	41.28%	46.63%	46.21%	44.13%	43.31%	41.78%	38.23%	37.82%	38.34%	38.47%	39.08%	40.06%
Operating Income	89,726	127,364	123,216	114,301	119,437	108,949	66,288	63,930	70,898	61,344	60,024	71,230
Operating Margin	28.52%	31.81%	31.51%	29.82%	30.29%	29.78%	24.15%	24.57%	26.69%	26.76%	27.84%	30.48%
Net Income	72,922	97,294	93,736	96,995	99,803	94,680	57,411	55,256	59,531	48,351	45,687	53,394
Net Margin	23.13%	24.3%	23.97%	25.31%	25.31%	25.88%	20.91%	21.24%	22.41%	21.09%	21.19%	22.85%

Historical Growth Rates

amounts of USD except for #	Average	LTM	2024	2023	2022	2021	2020	2019	2018	2017	2016	2015
Revenue	310,337	400,366	391,035	383,285	394,328	365,817	274,515	260,174	265,595	229,234	215,639	233,715
Revenue Growth Rate	8.04%	2.39%	2.02%	-2.8%	7.79%	33.26%	5.51%	-2.04%	15.86%	6.3%	-7.73%	27.86%
Net Income	72,922	97,294	93,736	96,995	99,803	94,680	57,411	55,256	59,531	48,351	45,687	53,394
Net Margin	23.13%	24.3%	23.97%	25.31%	25.31%	25.88%	20.91%	21.24%	22.41%	21.09%	21.19%	22.85%
Net Income Growth Rate	10.39%	3.8%	-3.36%	-2.81%	5.41%	64.92%	3.9%	-7.18%	23.12%	5.83%	-14.43%	35.14%
Stockholders Equity	85,844	66,796	56,950	62,146	50,672	63,090	65,339	90,488	107,147	134,047	128,249	119,355
Equity Growth Rate	-3.27%	17.29%	-8.36%	22.64%	-19.68%	-3.44%	-27.79%	-15.55%	-20.07%	4.52%	7.45%	7%
Return on Invested Capital (ROIC)	39.53%	61.56%	58.96%	54.98%	57.15%	49.56%	31.43%	29.21%	25.86%	18.21%	20.11%	27.81%
After-tax Operating Income	72,263	97,574	93,532	97,477	100,083	94,456	56,724	53,737	57,894	46,280	44,684	52,448
Income Tax Rate	19.72%	23.39%	24.09%	14.72%	16.2%	13.3%	14.43%	15.94%	18.34%	24.56%	25.56%	26.37%
Invested Capital	192,137	158,500	158,645	177,310	175,127	190,581	180,480	183,954	223,883	254,216	222,196	188,615