Equity Duration: A Puzzle on High Dividend Stocks

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1 Equity Duration: A Puzzle on High Dividend Stocks Hao Jiang Michigan State University Zheng Sun University of California at Irvine Q Group Fall 2017 Seminar

2 Diving to Uncharted Territories 2

3 Concerns about Interest Rate Risk of Risky Assets Geopolitical changes following the end of the Cold War induced a worldwide decline in real long-term interest rates that, in turn, produced home price bubbles across more than a dozen countries. --- Greenspan (2010) The most direct transmission channel of monetary policy is via the expected path of future short rates Monetary policy also impacts the pricing of risky assets, such as in equity, credit, housing, and other risky asset markets. --- Monetary policy, financial conditions, and financial stability Federal Reserve Bank of New York Staff Report (2014) 3

4 What We Do Study interest rate risk of individual stocks. Building on the insights on Duration from the fixed-income literature since Macaulay (1938) and Hicks (1939) What determines equity duration? Study the behavior of Reaching for Dividends and its implications for interest rate risk. 4

5 Existing Framework: the Time-shape of Cash Flow Distribution Stocks with low or zero current dividends: higher dividend growth rates Stocks with high current dividends: lower dividend growth rates High current dividend stocks should be less sensitive to interest rate movements, holding everything else the same. 5

6 What We Find Stocks with high dividends have a larger empirical estimate of duration, with prices more sensitive to interest rate movements Controlling for common stock market exposures, a 1% decline in 10-year Treasury yields is associated with 1.35% increase in returns of high dividend stocks, but with 1.12% decrease in returns of low dividend stocks Robust results unexplained by the impact of interest rates on stock dividend growth rates and many other possible explanations. Time-varying dividend clientele appears an important driver. 6

7 Stock Prices during Taper Tantrum June Market Adjusted Returns on June 19, Low Dividend High Dividend Portfolios sorted on Dividend Yield 7

8 Measurement and Data The empirical (modified) duration estimated by: R m i, t R f, t Durationi Interestt ) ( Factor t i, t Estimating on portfolio levels to reduce estimation error Sample: NYSE, AMEX, and NASDAQ common stocks, excluding penny stocks July 1963-Dec REITs and Japanese stocks for out-of-sample tests Methodology 8

9 Baseline results: Duration Estimates for Dividend Sorted Portfolios Duration 1 controls for stock market return factor, Duration 2 controls for Carhart four factors. Results are robust to further controls: investment and profitability factors, NBER recession 9 ***, **, * indicate statistical significances at 1%, 5%, and 10% levels, respectively

10 Rolling Window Estimates of Duration 10

11 Response of Cash Flows to Interest Rate Movements Idea: changes in interest rates may lead to adjustments in firm s production plan, thereby future cash flows If declines in interest rates associate with increases in dividend growth rates for high dividend stocks, they may have higher interest rate sensitivity. However, empirically, declines in interest rates associate with declines in dividend growth rates for high dividend stocks, working in the opposite direction. 11

12 Dual Share Classes of Citizens Utilities (CU): A Natural Experiment Dual share classes of CU: Series A pays stock dividends and B cash dividends Two special features: Whenever a given cash dividend per share is paid to Series B shares, stock dividends per share of equal fair value must be paid during the same calendar year to Series A share." Series A shares would always be convertible, one-for-one, into Series B shares except between the dates of declaration and record of a dividend to Series B shares" (Long, 1978, pp. 237). Given the contractual cash ow structure, the law of one price implies the same market price in a fully rational, frictionless world. 12

13 The Price Ratio of Cash Dividend Share to Stock Dividend Share for CU 13

14 Potential Explanations Ruled Out 1. Cash flow uncertainty 2. Distance to default 3. Leverage (Financial and Operating) 4. Flight to safety 5. Industry effects 6. Tax 14

15 Are Dividends Special? What is special about dividend payments? Irrelevancy of dividend policy to firm value (MM theorem) In market with frictions, investors may prefer company-paid dividends to home-made dividends Revealed preferences by households to consume through dividends (Baker, Nagel, and Wurgler, 2007, Hartzmark and Solomon, 2017) Consume income, not principal" -mental accounting 15

16 A Hypothesis of Reaching for Dividends Substitution between dividend stocks and bonds as source of stable income When interest rates are high, bond markets are more attractive. When interest rates are low (close to zero), high dividend stocks become attractive. If the demand curve in stock markets is not perfectly elastic, the rising demand for high dividend stocks when rates are low tends to increase their interest rate sensitivity, thereby leading to a higher duration. 16

17 17

18 Examining Reaching for Dividends Tracing investor demand Valuation of high dividend stocks Predicting expected excess returns 18

19 Household Hold More Stocks than Bonds when Interest Rate is Low 19

20 Time Varying Preference for Equity by Households 20

21 Money Disproportionally Flows to Income Funds When Interest Rate Is Low Correlation = (p=0.0001) 21

22 High Dividend Income Funds Receive More Flow 22 When interest rate is at its lowest 20% regime: 1% in R 0.253% in flow 1% in D/P 2.762% in flow t i t t i t t i t i t i t i Interest P D c Interest R c P D c R c c flow, 1, 4 1, 3 1, 2 1, 1 0, / /

23 Responses by Income Funds Income Funds Excess Weights on Stocks by Dividend Bracket 23

24 Impact on Duration Duration Estimated by Dividend Brackets and Income Fund Holdings 24

25 Valuation of High Dividend Stocks and Interest Rate Val where _ Spreadt c0 c1 Interestt t C' controls, Val _ Spread M / Bhigh _ D/ P M / Blow _ D/ P Controls: Stock Volatility, Bond Volatility, Stock Market Return, SMB, HML, Momentum, NBER recession 25

26 Predicting Long-Run Stock Return with Interest Rates 26

27 Inflation or Real Interest Rates? 27

28 Out-of-Sample Evidence 28

29 Conclusion High dividend stocks are more sensitive to interest rate movements than low dividend stocks, counter to the implication of the time-shape of their cash flow distribution. The response of cash flows to interest rates deepens this puzzle. The time-varying demand from dividend clientele as an important driver. 29

30 Implications What's the origin of interest rate risk? How to evaluate it? Cash flow structure of assets-liabilities analysis is a dominant framework. Elegant but incomplete approach. Institutional and psychological features that shape investor demand may be quite important. 30

31 Appendix Examining Alternative Interpretations 1.Cash flow uncertainty 2. Distance to default 3. Leverage (Financial and Operating) 4. Flight to safety 5. Industry effects 6. Tax 31

32 High Dividends or Low Risk? (I) The dividend discount model doesn t consider uncertainty of cash flows Risky securities may be less sensitive to interest rate changes (Haugen Wichern 1974) Dividends tend to be negatively correlated with cash flow risk. (Lintner, 1956; Brav et al., 2005; Hoberg and Prabhala, 2009) Idiosyncratic volatility as a proxy for cash flow risk (Campbell et al. 2001; Campbell and Takler, 2003; Pastor and Veronesi, 2003; and Irvine and Pontiff, 2009) 32

33 High Dividends or Low Risk? (II) 33

34 High Dividends or Low Distance to Default? (I) Financially distressed firms may have limited ability to pay dividends Firms life expectancy will be shortened if they are close to default, which in turn shortens their duration 34

35 High Dividends or Low Distance to Default? (II) 35

36 Financial Leverage and Duration 36

37 Operating Leverage and Duration 37

38 Duration Estimate Excluding Fly-to-Safety Events (I) Exclude the top 10% of months with the largest decline in the stock market, Exclude the top 10% of months with the largest increase in volatility Exclude the largest decrease in 10-year Treasury bond yields, respectively. 38

39 Duration Estimate Excluding Fly-to-Safety Events (II) 39

40 Within Industry Analysis 40

41 Duration and Tax Regimes 41

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