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Dividend Discount Model (DDM)

Difficulty: Intermediate

In discounted cash flow (DCF) valuation techniques the value of the stock is estimated based upon present value of some measure of cash flow. Dividends are the cleanest and most straightforward measure of cash flow because these are clearly cash flows that go directly to the investor.


Intrinsic Stock Value (Valuation Summary)

Apple Inc., dividends per share (DPS) forecast

USD $

 
Year Value DPSt or Terminal value (TVt) Calculation Present value at %
0 DPS01
1 DPS1 = × (1 + %)
2 DPS2 = × (1 + %)
3 DPS3 = × (1 + %)
4 DPS4 = × (1 + %)
5 DPS5 = × (1 + %)
5 Terminal value (TV5) = × (1 + %) ÷ (% – %)
Intrinsic value of Apple's common stock (per share) $
Current share price $

1 DPS0 = Sum of last year dividends per share of Apple's common stock. See details »

Disclaimer!
Valuation is based on standard assumptions. There may exist specific factors relevant to stock value and omitted here. In such a case, the real stock value may differ significantly form the estimated. If you want to use the estimated intrinsic stock value in investment decision making process, do so at your own risk.

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Required Rate of Return (r)

 
Assumptions
Rate of return on LT Treasury Composite1 RF %
Expected rate of return on market portfolio2 E(RM) %
Systematic risk (β) of Apple's common stock βAAPL
Required rate of return on Apple's common stock3 rAAPL %

1 Unweighted average of bid yields on all outstanding fixed-coupon U.S. Treasury bonds neither due or callable in less than 10 years (risk-free rate of return proxy).

Calculations

2 See Details »

3 rAAPL = RF + βAAPL [E(RM) – RF]
= % + [% – %]
= %

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Dividend Growth Rate (g)

Dividend growth rate (g) implied by PRAT model

Apple Inc., PRAT model

 
Average Sep 30, 2017 Sep 24, 2016 Sep 26, 2015 Sep 27, 2014 Sep 28, 2013 Sep 29, 2012
Selected Financial Data (USD $ in millions)
Dividends and dividend equivalents declared
Net income
Net sales
Total assets
Shareholders' equity
Ratios
Retention rate1
Profit margin2 % % % % % %
Asset turnover3
Financial leverage4
Averages
Retention rate
Profit margin %
Asset turnover
Financial leverage
Dividend growth rate (g)5 %

2017 Calculations

1 Retention rate = (Net income – Dividends and dividend equivalents declared) ÷ Net income
= () ÷ =

2 Profit margin = 100 × Net income ÷ Net sales
= 100 × ÷ = %

3 Asset turnover = Net sales ÷ Total assets
= ÷ =

4 Financial leverage = Total assets ÷ Shareholders' equity
= ÷ =

5 g = Retention rate × Profit margin × Asset turnover × Financial leverage
= × % × × = %

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Dividend growth rate (g) implied by Gordon growth model

g = 100 × (P0 × rD0) ÷ (P0 + D0)
= 100 × ($ × % – $) ÷ ($ + $) = %

where:
P0 = current price of share of Apple's common stock
D0 = last year dividends per share of Apple's common stock
r = required rate of return on Apple's common stock

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Dividend growth rate (g) forecast

Apple Inc., H-model

 
Year Value gt
1 g1 %
2 g2 %
3 g3 %
4 g4 %
5 and thereafter g5 %

where:
g1 is implied by PRAT model
g5 is implied by Gordon growth model
g2, g3 and g4 are calculated using linear interpoltion between g1 and g5

Calculations

g2 = g1 + (g5g1) × (2 – 1) ÷ (5 – 1)
= % + (% – %) × (2 – 1) ÷ (5 – 1) = %

g3 = g1 + (g5g1) × (3 – 1) ÷ (5 – 1)
= % + (% – %) × (3 – 1) ÷ (5 – 1) = %

g4 = g1 + (g5g1) × (4 – 1) ÷ (5 – 1)
= % + (% – %) × (4 – 1) ÷ (5 – 1) = %

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