The Long Run Drivers of Stock Returns...Stocks, Bonds, Bills and Inflation Study ( 1976/1977) 4...
Transcript of The Long Run Drivers of Stock Returns...Stocks, Bonds, Bills and Inflation Study ( 1976/1977) 4...
The Long Run Drivers of Stock Returns: Total Payouts and the Real Economy*
Roger G. IbbotsonChairman & CIO, Zebra Capital Management LLC.Professor in Practice Emeritus, Yale School of Management
Co-Author: Philip Straehl, Morningstar Inc.
FTSE Russell World Investment ForumSea Island, GA, May 2016
*Original Title: The Supply of Stock Returns: Adding Back Buybacks
Agenda
2
Stock Return Es timation MethodsStocks , Bonds , Bills , & Infla tion
The Supply of S tock ReturnsIbbotson & Chen (2003) Updated and Extended
A Tota l Payout Model of S tock ReturnsDividends and three buyback Inves tor types
Stock Returns and the Rea l EconomyPayout Growth vs Economy Growth
Forecas ting Stock ReturnsPE Ratios , dividend discount model, tota l yie ld, CAPE, CATY, CANTY
Conclus ions
Stock Return Estimation Methods
3
Historical Risk Premiums: measure over various markets and time periods (Ibbotson & Sinquefie ld)
Consensus forecasts: individual inves tors , economis ts , and ins titutiona l inves tors , e .g., Welch (2001)/(2004), Fernández López
Demand: degree of inves tor risk avers ion and other characteris tics , e .g., Ibbotson, S iege l & Diermeier (1984), Mehra & Prescott (1985), Mehra (2003), Cons tantinides (2003), Kaplan (2016)
Real economy (supply): s tock market is cons tra ined to be part of the economy, e .g., Diermeier, Ibbotson & Siege l (1984), Shille r (2000), Fama & French (2002), Ibbotson & Chen (2003)
Stocks, Bonds, Bills and Inflation Study (1976/1977)
4
Ibbotson/Sinquefie ld (1976/1977) conduct s tudy of drivers of long-run asse t class re turns , us ing the S&P Composite as the measure of la rge cap s tocks (s imila r to this s tudy)
Key re turn building blocks :
• Equity risk premium
• Horizon premium
• Default premium
• Real inte res t ra tes
• Infla tion
Ibbotson® SBBI®Stocks, Bonds, Bills, and Inflation 1926–2015
•Past performance is no guarantee of future results. Hypothetical value of $1 invested at the beginning of 1926. Assumes reinvestment of income and no transaction costs or taxes. This is for illustrative purposes only and not indicative of any investment. An investment cannot be made directly in an index. © Morningstar. All Rights Reserved.
Ibbotson® SBBI® Historical Equity Risk Premium?Summary statistics 1926–2015 10.0%-5.6%=4.4%
12.0%-3.5%=8.5%
Past performance is no guarantee of future results.*The 1933 small company stock total return was 142.9%. This is for illustrative purposes only and not indicative of any investment. An investment cannot be made directly in an index. © 2016 Morningstar. All Rights Reserved.
Compoundannualreturn
Arithmeticannualreturn
Risk(standarddeviation)
Large stocks
Small stocks*
Governmentbonds
Treasurybills
Inflation
10.0%
12.0%
5.6%
3.4%
2.9%
12.0%
16.5%
6.0%
3.5%
3.0%
20.0%
32.0%
10.0%
3.1%
4.1%
–90 0 90
Ibbotson® SBBI® This study uses
Summary statistics 1926–2015 inflation adjusted returns
Past performance is no guarantee of future results.*The 1933 small company stock total return was 142.9%. This is for illustrative purposes only and not indicative of any investment. An investment cannot be made directly in an index. © 2016 Morningstar. All Rights Reserved.
Compoundannualreturn
Arithmeticannualreturn
Risk(standarddeviation)
Large stocks
Small stocks*
Governmentbonds
Treasurybills
Inflation
10.0%
12.0%
5.6%
3.4%
2.9%
12.0%
16.5%
6.0%
3.5%
3.0%
20.0%
32.0%
10.0%
3.1%
4.1%
–90 0 90
The Supply of Stock Returns Long-Run Stock Returns: Participating in the Real Economy
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Ibbotson & Chen (2003) decompose his torica l re turn of s tocks into diffe rent supply components : dividends , earnings , book va lue , and GDP per capita growth
Most of re turn is a ttributable to the supply of corpora te fundamenta ls (e .g., dividends and earnings e tc.) and rea l economic productivity (i.e ., GDP per capita )
P/E growth and changing factor shares only account for a small portion of his torica l re turns
This next page updates origina l 1926-2000 sample to include 1871-2014, (without s tock buybacks)
Ibbotson & Chen Return Decompositions Updated and Extended (1871-2014)
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Source: Straehl, Philip U., and Roger G. Ibbotson. 2015. The Supply of Stock Returns: Adding Back Buybacks. Working Paper.
Inflation2.06% 2.06% 2.06% 2.06% 2.06% 2.06%
GDP per capitaGrowth
1.83%
Chg. Factor Share0.41%
Chg. ROE0.33%
BVGrowth1.49%
DPS Growth1.46%
1/ Chg. PO0.36%
EPSGrowth1.83%
P/EGrowth0.41%
Capital Gain2.25%
Income4.50% 4.50% 4.50% 4.50% 4.50%
Risk Free Rate
2.66%
Equity Risk Premium
4.08%
-0.50%
0.50%
1.50%
2.50%
3.50%
4.50%
5.50%
6.50%
7.50%
8.50%
9.50%
1. Building Blocks 2. Capital Gain and Income 3. Earnings 4. Dividends 5. Book on Equity 6. GDP per Capita
Inflation Inflation Inflation Inflation Inflation
Income Income Income Income
P/EGrowth0.41%
P/EGrowth0.41%
U.S. Equity Markets: Dividends & Buybacks (1871-2014)
Source: Straehl, Philip U., and Roger G. Ibbotson. 2015. The Supply of Stock Returns: Adding Back Buybacks. Working Paper.
10
Structural break – 1982 SEC ruling on buybacks
Literature Review
11
Drivers of Rise of Buybacks:
• SEC rule 10b-18 in 1982 provided a safe harbor for firms to conduct share buybacks without a suspicion of share price manipula tion (e .g., Grullon and Michaely, 2002)
• Tax benefits (e .g., Grullon and Michaely, 2002)
• Greater flexibility than dividends (e .g., Guay and Harford, 2000)
• Alterna tive motiva tions : underva lua tion/s igna ling, management of “dilution effects”, EPS management (e .g., Allen and Michaely, 2003, and Brav, Campbell, Michae ly 2005)
International Evidence on Buybacks:
• Increas ing evidence of inte rna tiona l importance of buybacks : European Union (von Eije and Megginson, 2008), Japan (Tong e t a l, 2012), Aus tra lia (Brown and O’Day, 2006)
U.S. Equity Markets: Total Yield (1871-2014)
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Source: Straehl, Philip U., and Roger G. Ibbotson. 2015. The Supply of Stock Returns: Adding Back Buybacks. Working Paper.
Equity Dividend Yields (1685-1870)
Source: Golez & Koudijs (2014), Four Centuries of Return Predictability, NBER Working Paper
13.5%
8.2%
5.0%
3.0%
1.8%
1.1%
U.K./Netherlands (1685-1809) U.K. (1825-1870)
Average: 4.2% Average: 4.4%
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Three Buyback Investor Types*
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1) Buy and Hold Investor• Holds cons tant # of shares in company• Buyback impact: inves tor holds on to shares (ge ts bigger share)• Relevant growth ra te : growth per share
2) Pro Rata Buyback Investor• Buyback impact: tenders proportiona l amount of shares (ge ts cash)• Relevant growth ra te : cash flow growth
3) Cap-Weighted Index Investor • Constant share of aggregate s tock market• Participa tes proportiona lly in buyback and issuance of shares• Relevant growth ra te : aggregate growth
*Value not affected for all 3 investor types under Miller & Modigliani assumptions
A Total Payout Model of Stock Returns (Buy and Hold Investor)
15
The one-period tota l re turn R of a s tock over period t-1 to t is given by:
• 𝑅𝑅𝑡𝑡 = 𝐷𝐷𝑡𝑡𝑃𝑃𝑡𝑡−1
+ 𝑃𝑃𝑡𝑡−𝑃𝑃𝑡𝑡−1𝑃𝑃𝑡𝑡−1
= 𝐷𝐷𝑡𝑡𝑃𝑃𝑡𝑡−1
+ 𝑃𝑃𝑡𝑡𝑃𝑃𝑡𝑡−1
− 1
Div. Yield + Price Return Div. Yield + Price Return
Rewrite as a function of change in price-to-tota l payout ra tio and
the change in tota l payout-per-share (TP)
• 𝑅𝑅𝑡𝑡 = 𝐷𝐷𝑡𝑡𝑃𝑃𝑡𝑡−1
+ 𝑇𝑇𝑃𝑃𝑡𝑡𝑇𝑇𝑃𝑃𝑡𝑡−1
𝑥𝑥𝑃𝑃𝑡𝑡𝑇𝑇𝑃𝑃𝑡𝑡𝑃𝑃𝑡𝑡−1𝑇𝑇𝑃𝑃𝑡𝑡−1
− 1
Dividend Yie ld TP Per Share Growth Change in Price -to-TP
DY Nom gTP gP/TP
Does not participa te in cash buyback, increas ing Buy and Hold Inves tor’s proportion (corp cash used to decrease share count) and TP per share growth
Total Yield Model (Pro Rata Buyback Investor)
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The buyback yie ld is defined as :
• 1 + 𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵 𝑌𝑌𝑌𝑌𝑌𝑌𝑌𝑌𝑌𝑌𝑡𝑡 = 1 + 𝑃𝑃𝑡𝑡𝐵𝐵𝑡𝑡𝑃𝑃𝑡𝑡𝑆𝑆𝑡𝑡
= 𝐵𝐵𝑡𝑡+𝑆𝑆𝑡𝑡𝑆𝑆𝑡𝑡
• Where S is the number of shares outs tanding, B is the number of shares repurchased
Write re turn as a function of tota l payout-per-share (TP) and buybacks yie ld:
• 𝑅𝑅𝑡𝑡 = 𝐷𝐷𝑡𝑡𝑃𝑃𝑡𝑡−1
+ 𝐵𝐵𝑡𝑡+𝑆𝑆𝑡𝑡𝑆𝑆𝑡𝑡
𝑇𝑇𝑃𝑃𝑡𝑡𝑇𝑇𝑃𝑃𝑡𝑡−1
𝑆𝑆𝑡𝑡𝐵𝐵𝑡𝑡+𝑆𝑆𝑡𝑡
𝑃𝑃𝑡𝑡𝑇𝑇𝑃𝑃𝑡𝑡𝑃𝑃𝑡𝑡−1𝑇𝑇𝑃𝑃𝑡𝑡−1
− 1
Tota l Yie ld + TP Growth (Adj.) + Change in Price -to-TP
TY + Nom gTPexB + gP/TP
Payout tota l yie ld is higher, but have less shares , offse tting each other
Net Total Yield Model (Market-Cap Index Investor)
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Net is suance is defined as :
• 1 + 𝑁𝑁𝑌𝑌𝑁𝑁 𝐼𝐼𝐼𝐼𝐼𝐼𝐵𝐵𝐵𝐵𝐼𝐼𝐵𝐵𝑌𝑌𝑡𝑡 = 1 + 𝑃𝑃𝑡𝑡(𝑆𝑆𝑡𝑡−𝑆𝑆𝑡𝑡−1)𝑃𝑃𝑡𝑡𝑆𝑆𝑡𝑡−1
= 𝑆𝑆𝑡𝑡𝑆𝑆𝑡𝑡−1
• Where S is the number of shares outs tanding
Write re turn as a function of tota l payout-per-share (TP) and ne t is suance :
• 𝑅𝑅𝑡𝑡 = 𝐷𝐷𝑡𝑡𝑃𝑃𝑡𝑡−1
+ 𝑆𝑆𝑡𝑡−1𝑆𝑆𝑡𝑡
𝑇𝑇𝑃𝑃𝑡𝑡𝑇𝑇𝑃𝑃𝑡𝑡−1
𝑆𝑆𝑡𝑡𝑆𝑆𝑡𝑡−1
𝑃𝑃𝑡𝑡𝑇𝑇𝑃𝑃𝑡𝑡𝑃𝑃𝑡𝑡−1𝑇𝑇𝑃𝑃𝑡𝑡−1
− 1
Net Tota l Yie ld Aggregate TP Growth Change in Price -to-TP
NTY Nom gTPAgg gP/TP
NTY includes cash outflow for is suance purchase with new capita l into company benefiting aggregate growth
Three Total Payout (TP) Models: Summary
18
Dividend Per-Share Model (Buy and Hold Investor)
• Return = Dividend Yie ld + TP Per Share Growth + Change in Price-to-TP
• More growth per share from decreas ing buyback share count, but less corpora te cash
Dividend and Cash Buyback Model (Pro Rata Buyback Investor)
Return = Tota l Yie ld + TP Growth + Change in Price-to-TP
• Tota l yie ld includes dividends plus buybacks , but corpora tion has less cash and lower TP growth
Dividend Less Net Issuance (Market-Cap Index Investor)
• Return = Net Tota l Yie ld + Aggregate TP Growth + Change in Price -to-TP
• Buybacks and issuance somewhat offse t each other
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Historical Return Decompositions by Total Payout (TP)The supply of tota l payouts a lmos t entire ly expla ins his torica l re turns
(change in va lua tion is small)1871-2014 1901-2014
Dividend-Per-Share Model(Buy and Hold Investor)Dividend Yield DY 4.50% 4.29%TP Growth gTP 2.05% 2.02%Change in Price-to-TP gP/TP 0.20% -0.01%Inflation CPI 2.06% 3.06%
Interaction 0.25% 0.28%
Dividend and Cash BuybackModel (Pro Rata Buyback Investor)
Total Yield TY 4.89% 4.78%TP Growth (BuybackShare Decrease Adjusted) gTPexB 1.67% 1.54%Change in Price-to-TP gP/TP 0.20% -0.01%Inflation CPI 2.06% 3.06%
Interaction 0.24% 0.27%
Dividend Less Net Issuance Model (Cap-Weighted Index Investor)Net Total Yield NTY - 3.03%Aggregate TP Growth gTPAgg - 3.27%Change in Price-to-TP gP/TP - -0.01%Inflation CPI - 3.06%
Interaction - 0.29%
Total Return 9.05% 9.64%
Buy and Hold (Lower yield because no buyback, but higher growth)
Pro Rata Buyback (Higher yield because of selling of buybacks, but lower growth)
Market Cap Index (Lower net yield because of buying of net issuance, but higher growth)
For illustrative purposes only.. Source: Straehl and Ibbotson (2015), The Supply of Stock Returns: Adding Back Buybacks, Working Paper
Stock Returns and the Real Economy
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Returns on asse ts a re re la ted to the productivity of economic factor inputs
In aggregate , the re turn on any financia l asse t (s tocks , bonds , rea l es ta te e tc.) is linked to the performance of the economy
• Asse ts cannot indefinite ly outperform/underperform the economy
The equity inves tor, as part of the capita l s tructure , ge ts the res idual product of the economic process , ge tting the grea tes t ups ide (and downside)
A Simple Model of Aggregate Growth
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Let’s assume tha t the output (Y) of the economy is described by a Cobb-Douglas production function:
𝑌𝑌 = 𝐴𝐴𝐾𝐾1−𝛽𝛽𝐿𝐿𝛽𝛽
A=Tota l factor productivity K=Capita l s tock L = Labor (hours ) β= Output e las ticity
Taking log diffe rences , we ge t an express ion of the growth drivers of aggregate output (GDP):
∆𝐵𝐵 = ∆𝐵𝐵 + 𝛽𝛽 − 1 ∆𝐵𝐵 + 𝛽𝛽∆𝑌𝑌
GDP Growth = Productivity Growth + Growth in Capital + Growth in Labor
Aggregate total payout growth should be related to aggregate output growth, barring differences in factor share of capital
Aggregate Total Payout vs. GDP Growth, 1901-2014
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For illustrative purposes only. Source: Straehl and Ibbotson (2015), The Supply of Stock Returns: Adding Back Buybacks, Working Paper
Aggregate Tota l Payout grows in line with GDP
Growth in aggregate payouts
A Simple Model of Productivity Growth
23
Part of overa ll growth is financed by new capita l (e .g., purchase of a new machine)
Dividing Y by K we ge t express ion for output per unit of capita l input:
𝑌𝑌𝐾𝐾
= 𝐴𝐴𝐾𝐾1−𝛽𝛽𝐿𝐿𝛽𝛽
𝐾𝐾= 𝐴𝐴(𝐿𝐿
𝐾𝐾)𝛽𝛽
Taking log diffe rences to obta in growth ra tes :
∆𝐵𝐵 − ∆𝐵𝐵 = ∆𝐵𝐵 + 𝛽𝛽∆𝑌𝑌 − 𝛽𝛽∆𝐵𝐵
Growth Y/K= Productivity Growth + Growth in Labor − Growth in Capita l
If Labor-Capita l Ratio (L/K) is cons tant, express ion reduces to productivity growth (∆𝐵𝐵)
Inves tors ’ tota l payout growth is na tura l s tock market equiva lent of productivity growth
Total Payout Growth vs. GDP-Per-Capita Growth, 1872-2014
24
For illustrative purposes only. Source: Straehl and Ibbotson (2015), The Supply of Stock Returns: Adding Back Buybacks, Working Paper
Tota l Payout per share (adj. for buyouts and new issuance) grows in line with productivity
Total payout per share
Forecasting Stock Returns
25
Compare One-Year Forward and Five-Year Forward Returns:
Price-Earnings Ratios (PE)
Dividend Yie ld (DY) 𝑟𝑟 = 𝑑𝑑
𝑝𝑝+ g
Tota l Yie ld (TY) DY + Buybacks
Net Tota l Yie ld (NTY) ne t of new issues
Shille r’s CAPE (10 Years )cyclica lly adjus ted PE ra tio
Cyclica lly adjus ted Tota l Yie ld (CATY)
Cyclica lly adjus ted Net Tota l Yie ld (CANTY)
Predictive Regressions of One-Year Forward Returns
26
Source: Straehl, Philip U., and Roger G. Ibbotson. 2015. The Supply of Stock Returns: Adding Back Buybacks. Working Paper.
Simple Variables
PEDiv. Yield
(DY)Total Yield
(TY)Net Total
Yield (NTY)Since 1871Intercept 11.34 1.34 -2.83 -Tstat 2.98 0.32 -0.53 -Coeff. -0.19 1.60 2.30 -Tstat -0.83 1.80 2.19 -R2 0.49% 2.24% 3.30% -
Since 1881Intercept 10.80 0.64 -4.21 -Tstat 2.69 0.14 -0.74 -Coeff. -0.17 1.75 2.57 -Tstat -0.71 1.82 2.28 -R2 0.38% 2.46% 3.82% -
Since 1911Intercept 10.78 2.22 -2.22 8.64Tstat 2.43 0.46 -0.34 4.50Coeff. -0.15 1.45 2.17 0.37Tstat -0.61 1.37 1.72 1.82R2 0.36% 1.82% 2.84% 3.17%
Tota l Payout Yie lds (TY & NTY) are more predictive than PE and DY
Genera lly have higher ts ta ts and R-squares
Predictive Regressions of One-Year Forward Returns
27
Source: Straehl, Philip U., and Roger G. Ibbotson. 2015. The Supply of Stock Returns: Adding Back Buybacks. Working Paper.
Cyclically-Adjusted (CA) Variables
PE (CAPE)
Total Yield
(CATY)
Net Total Yield
(CANTY)Since 1871Intercept - - -Tstat - - -Coeff. - - -Tstat - - -R2 - - -
Since 1881Intercept 17.97 -2.95 -Tstat 4.24 -0.66 -Coeff. -0.60 2.44 -Tstat -2.49 2.68 -R2 4.51% 5.19% -
Since 1911Intercept 17.09 -1.85 1.64Tstat 3.70 -0.37 0.45Coeff. -0.54 2.20 2.09Tstat -2.08 2.22 2.20R2 4.09% 4.66% 4.55%
Shille r’s CAPE is based on 10-year average rea l earnings per share
CATY and CANTY (based on 10-year average tota l payouts per share) a re a t leas t as predictive as CAPE
Have higher t-s ta ts and R-squares
1/CAPE and 5-Year Forward Return (1970-2010)
28
For illustrative purposes only.
R² = 0.1172
-15.00%
-10.00%
-5.00%
0.00%
5.00%
10.00%
15.00%
20.00%
25.00%
30.00%
0.00% 2.00% 4.00% 6.00% 8.00% 10.00% 12.00% 14.00% 16.00%
5-Year Fwd Return vs…
5-Ye
ar Fo
rwar
d Re
al Re
turn
1/CAPE
CATY and 5-Year Forward Return (1970-2010)
29
For illustrative purposes only.
5-Ye
ar Fo
rwar
d Re
al Re
turn
CATY
R² = 0.2531
-15.00%
-10.00%
-5.00%
0.00%
5.00%
10.00%
15.00%
20.00%
25.00%
30.00%
0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00%
5-Year Fwd Return vs…
Long-Term Forecasts
30
Total Yield CATY Dividend YieldCurrent Yield* 4.83% 3.66% 1.92%Hist. Growth 1.63% 1.63% 1.46%Expected Inflation 2.00% 2.00% 2.00%
Expected Return (Geometric) 8.50% 7.33% 5.41%
S&P Composite (1871-2014)
SBBI US Large (1926-2014)
Hist. Real Return 6.84% 6.98%Expected Inflation 2.00% 2.00%
Expected Return (Geometric) 8.98% 9.12%
Historical
Supply Models
*Current yie lds a re a ll a s of 12/31/2014. Tota l yie ld is the dividend yie ld plus the buyback yie ld for 2014, CATY is the
10-year average of rea l tota l payout pe r sha re (dividend plus buybacks) divided by the current price .
Conclusions
31
Long-run s tock re turns a re driven by• Tota l payouts cash• Tota l payouts growth
The supply of tota l payouts a lmos t exactly matches• Stock re turns • Real Economy
Dividend Discount Model his torica l da ta• Underes timates expected re turn
Cyclica lly Adjus ted (10 Year) Tota l Payouts (CATY)• Predict forward re turns s lightly be tte r than CAPE