List of Potential Final Projects#
The project that you are assigned will come from one of several categories below. Each of these projects involves replicating a well-known finance paper. If you canât access the papers below, you can find a link to them here: https://drive.google.com/drive/folders/1uaFsV1nn9MeO_XIRcolBnKcbkHKCEHu8?usp=drive_link
Not sure what a finished replication looks like? See the Project Previews page, which walks through three of the papers below (#1, #2, and #4) with the actual figures and tables you would reproduce.
Machine Learning and Return Prediction#
1. The Virtue of Complexity in Return Prediction#
Conventional wisdom says market-return forecasting models should be small and simple. This paper proves the opposite: âsimple models severely understate return predictability compared to âcomplexâ models in which the number of parameters exceeds the number of observations.â The authors forecast the monthly excess return of the CRSP value-weighted index using random Fourier features built from the 15 GoyalâWelch predictors, and show that out-of-sample forecasting and market-timing performance improves as model complexity growsâeven with as few as 12 training observations and up to 12,000 parameters.
The pipeline: build and volatility-standardize the GoyalâWelch predictors (1926â2020), generate random Fourier features, run recursive out-of-sample ridge regressions across a grid of model sizes and shrinkage values, and trace out the âvirtue of complexityâ curves for prediction accuracy and market-timing performance.
This paper is featured on the Project Previews page.
Tasks:
Predictor summary statistics: construct the 15 predictors, apply the paperâs volatility standardization (Section V.A), and produce a summary-statistics table and time-series overview plot (this is the data-cleaning deliverable)
Replicate Figure 7 (out-of-sample market timing performance, T = 12): out-of-sample R², coefficient norm, expected return, and volatility as functions of model complexity and ridge shrinkage
Replicate Figure 8 (Sharpe ratio, alpha, information ratio, T = 12): the crux resultâmarket-timing performance rising with complexity
Replicate Figure 11 (variable importance): change in out-of-sample R² and Sharpe ratio from dropping each predictor one at a time
Data sources: Amit Goyalâs website (the updated GoyalâWelch predictor dataset, free and public); CRSP (value-weighted index returns, via WRDS)
Notes:
The computational burden is the main challenge. When the feature count P far exceeds the training window T, solve the ridge regression in its dual (kernel) form, which only requires inverting a T Ă T matrix. You may use a coarser grid of P values and fewer random-feature repetitions than the paperâs 1,000 (e.g., 50â100), which preserves the shape of the curves.
The paper is available on SSRN and published in the Journal of Finance (2024); use whichever version is convenient.
Citation: Kelly, Bryan, Semyon Malamud, and Kangying Zhou. âThe Virtue of Complexity in Return Prediction.â The Journal of Finance 79, no. 1 (2024): 459â503. Available at SSRN: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3984925
Paper PDF: KellyMalamudZhou2024VirtueOfComplexity.pdf
Credit Cycles and Financial Crises#
2. Predictable Financial Crises#
Using a panel of 42 countries from 1950 to 2016, this paper shows that âcrises are substantially predictableâ: when rapid credit growth coincides with rapid asset price growthâthe âR-zoneââthe probability of a financial crisis within three years rises to 40% or more. The predictability challenges the conventional view that crises arrive as unforecastable shocks and implies policymakers have time to act.
The project is a cross-country panel-data assembly exercise: merge the BaronâVernerâXiong crisis chronology with credit growth for households and businesses (BIS Total Credit Statistics, IMF Global Debt Database) and real equity and house price growth (BIS, OECD, JST Macrohistory, IMF IFS), then compute crisis probabilities conditional on credit and price growth quantiles.
This paper is featured on the Project Previews page.
Tasks:
Replicate Table 1 (summary statistics): crisis counts by country and decade compared across chronologies, plus summary statistics of credit growth and asset price growth (this and Figure 1 are the data-cleaning deliverables)
Replicate Figure 1 (event history): the timeline of financial crises across countries in the sample
Replicate Table 3 (crisis probabilities by price and debt growth quantiles): the R-zone resultâcrisis probabilities in the double-sort of credit growth against asset price growth, for the business and household sectors
Replicate Table 4 (regression version): predictive regressions of crisis onset on the R-zone indicators, with the paperâs standard-error treatment
Replicate Figure 3 (fraction of countries in the R-zone): time series showing global credit-market overheating, peaking before 1929, 2008, and other crisis waves
Data sources (all free and public): BaronâVernerâXiong (2021) crisis chronology (posted online); BIS Total Credit Statistics and Residential Property Price database; IMF Global Debt Database and International Financial Statistics (share price indices); OECD Housing Prices; JordĂ âSchularickâTaylor Macrohistory database; World Bank WDI (inflation)
Notes:
The paperâs primary equity-index source is Global Financial Data, which we do not have. Use the IMF IFS share price indices and the JST Macrohistory equity data insteadâthe paper itself uses these as supplementary sources, and coverage is adequate for nearly all country-years in the sample.
Use the working paper version (HBS Working Paper 20-130) for table and figure numbering.
Citation: Greenwood, Robin, Samuel G. Hanson, Andrei Shleifer, and Jakob Ahm Sørensen. âPredictable Financial Crises.â The Journal of Finance 77, no. 2 (2022): 863â921. https://onlinelibrary.wiley.com/doi/abs/10.1111/jofi.13105
Paper PDF: GreenwoodHansonShleiferSorensen2022PredictableFinancialCrises.pdf (HBS working paper version)
3. Credit-Market Sentiment and the Business Cycle#
Using U.S. data from 1929 to 2015, this paper shows that âelevated credit-market sentiment in year tâ2 is associated with a decline in economic activity in years t and t+1.â The mechanism is âpredictable mean reversion in credit-market conditionsâ: when credit risk is aggressively pricedânarrow spreads, a high junk-bond share of issuanceâspreads subsequently widen, and the widening coincides with the onset of a contraction. Investor sentiment in credit markets, not just financial frictions, emerges as a driver of business cycles.
The pipeline is a two-step time-series exercise: first forecast annual changes in the BaaâTreasury spread using the year tâ2 sentiment proxies (the log credit spread and the GreenwoodâHanson high-yield issuance share), then regress real GDP-per-capita growth on the predicted spread change. Nearly a century of annual data, all from public sources.
Tasks:
Construct the dataset and replicate Figure I (the BaaâTreasury spread, 1929â2015): assemble the credit spread, the high-yield share, GDP per capita, inflation, and Treasury yields, with a summary-statistics table (this is the data-cleaning deliverable)
Replicate Table I (forecasting growth with credit spreads and stock prices): OLS regressions of real GDP-per-capita growth on lagged spread changes and S&P 500 returns, with NeweyâWest standard errors
Replicate Table II (the two-step sentiment results): the first-stage spread-change forecasting regressions and the second-stage effect of predicted spread changes on growthâthe paperâs central result
Replicate Figure II (credit-market sentiment and economic growth): the fitted relationship over the full 1929â2015 sample
Update: extend the dataset and Tables IâII through the most recent available yearâthe post-2015 period (COVID, the 2022 tightening) is an interesting out-of-sample test
Data sources (free and public unless noted): FRED (Moodyâs Baa yield, long-term Treasury yields, real GDP per capita, CPI); Robert Shillerâs website (S&P 500 returns and P/E); GreenwoodâHanson high-yield share (posted with their paperâs data; can be extended from Mergent FISD on WRDS); Federal Reserve Board website (excess bond premium, for the EBP robustness variant)
Notes:
The high-yield share is the one input not on FRED. Use the series posted with Greenwood and Hanson (2013) (âIssuer Quality and Corporate Bond Returns,â data on Robin Greenwoodâs HBS page) and extend it using Mergent FISD ratings and issuance data if you take on the update task.
Citation: LĂłpez-Salido, David, Jeremy C. Stein, and Egon ZakrajĹĄek. âCredit-Market Sentiment and the Business Cycle.â The Quarterly Journal of Economics 132, no. 3 (2017): 1373â1426. https://academic.oup.com/qje/article/132/3/1373/3787666
Paper PDF: LopezSalidoSteinZakrajsek2017CreditMarketSentiment.pdf
Corporate Events and Anomalies#
4. Predictable Corporate Distributions and Stock Returns#
Firms tend to announce distributionsâdividend increases, special dividends, stock dividends, and stock splitsââon the anniversary of a like announcement at the same firm.â The market underreacts to this predictability: âa simple strategy that involves purchasing firms with high predicted probabilities of distribution announcements earns significant abnormal monthly returns,â distinct from earnings-announcement and seasonality effects.
The pipeline: identify the four event types from the CRSP distribution master file (1963â2012) using the paperâs filters, estimate a Cox proportional hazard model of follow-on announcements (elapsed time plus firm characteristics), then form monthly portfolios of stocks with the highest predicted event probabilities and measure their four-factor alphas. The hazard estimation is rolling and out-of-sample, exactly the kind of point-in-time discipline this course emphasizes.
This paper is featured on the Project Previews page.
Tasks:
Replicate Table 1 and Figure 1 (event occurrence and recurrence): event counts by year and the probability of each event conditional on prior occurrence, including the frequency distribution by months since the previous event (this is the data-cleaning deliverable)
Replicate Figure 5 (baseline hazard rates): the estimated hazard function showing the spikes at 12, 24, and 36 monthsâthe paperâs key descriptive fact
Replicate Table 3 (hazard model estimates): Cox model coefficients for each of the four event types
Replicate Table 5 (portfolio returns): raw returns and FamaâFrenchâCarhart alphas for portfolios of stocks with high predicted probabilities of any distribution event
Data sources (all available on WRDS): CRSP distribution master file (
crsp.msedist; e.g., special dividends are distribution codes 5533/5538) and monthly/daily stock files; Compustat (ROA, cash balances); FamaâFrenchâCarhart factors (ff.factors_monthly)Notes:
The Cox proportional hazard model is available in Python via the
lifelinespackage (CoxPHFitter).Follow the paperâs sample filters carefully (share codes 10/11, the 5% dividend-increase threshold, and the 20â90 trading-day spacing rule for prior dividends)âgetting the event sample right is most of the battle.
Citation: Bessembinder, Hendrik, and Feng Zhang. âPredictable Corporate Distributions and Stock Returns.â The Review of Financial Studies 28, no. 4 (2015): 1199â1241. https://academic.oup.com/rfs/article/28/4/1199/1929063
Paper PDF: BessembinderZhang2015PredictableCorporateDistributions.pdf
Options and Crash Risk#
5. Forecasting Crashes with a Smile#
This paper derives âoption-implied bounds on the probability of a crash in an individual stockâ from the prices of options on the stock and on the S&P 500 index, using the FrĂŠchetâHoeffding copula bounds to handle any correlation structure between the two. The lower bound âsuccessfully forecasts crashes both in and out of sampleâ and, unlike risk-neutral crash probabilities, avoids âcrying wolfâ during crisis periods.
The pipeline: pull month-end OptionMetrics volatility surfaces for the S&P 500 index and its constituent firms (1996â2022), filter and interpolate the smiles, recover risk-neutral CDFs via BreedenâLitzenberger, and combine the stock and index marginals into the crash-probability bounds. Section 2 and Appendix D spell out the computational steps.
Tasks:
Replicate Table 1 (summary statistics): realized crash frequencies, the upper and lower crash-probability bounds, and risk-neutral crash probabilities, averaged across firms and across time
Replicate Figure 1 (Apple and AIG): time series of upper and lower bounds on the probability of a 20% one-month crash for Apple and AIG
Replicate Figure 2 (cross-sectional medians): time series of the cross-sectional median upper and lower bounds, together with the crash probability of the S&P 500 index itself
Replicate Table 2 (regression tests): in-sample regressions of realized crash indicators on the lower bound, the upper bound, and the risk-neutral crash probability
Data sources (all available on WRDS):
OptionMetrics IvyDB US: volatility surfaces (
optionm_all.vsurfd{year}; the S&P 500 index issecid = 108105) and the zero-coupon yield curve (optionm_all.zerocd)CRSP: stock prices, returns, volume, shares outstanding, and S&P 500 constituent membership (
crsp.msp500list)CRSPâOptionMetrics link table (
wrdsapps_link_crsp_optionm)
Notes:
Use the OptionMetrics volatility surface file rather than raw option quotesâthe surface already accounts for the early-exercise premium in American-style single-name options, which is why the paper (and the related literature) works from it. Only out-of-the-money options are used to compute the risk-neutral marginals.
Citation: Martin, Ian W. R., and Ran Shi. âForecasting Crashes with a Smile.â Working paper, September 2025. https://personal.lse.ac.uk/martiniw/oib_martin_shi_latest.pdf
6. Information in Derivatives Markets: Forecasting Prices with Prices#
This survey covers âwork that uses information in derivative and other asset prices to forecast movements in financial markets.â Its centerpiece is the SVIX indexâthe risk-neutral variance of the S&P 500 return, computed from index option pricesâwhich measures the equity premium in real time: for a log investor, the expected excess return on the market equals \(R_f \cdot \text{SVIX}^2\). The survey updates the forecasting regressions of Martin (2017) through December 2022 and shows they hold up out of sample.
The pipeline: pull S&P 500 index option prices from OptionMetrics, compute the SVIX integral of out-of-the-money put and call prices over strikes (Equation 19), and run forecasting regressions of realized excess returns on SVIX². Figures 1 and 2 extend this from log utility to power utility using the risk-neutral moment formula in Equation 49.
Tasks:
Construct the SVIX index at 1-, 3-, 6-, and 12-month horizons, daily from January 1996 to the present; plot the series and report summary statistics (this is the data-cleaning deliverable; compare with the plots in Martin (2017))
Replicate Table 1 (forecasting the market): regressions of realized excess returns on SVIX² at 1-, 3-, 6-, and 12-month horizons, with NeweyâWest standard errors, for both the full 1996â2022 sample and the 2012â2022 subsample
Replicate Figures 1 and 2 (the equity premium under power utility): the 1-month and 1-year equity premium for risk aversion Îł = 1, 2, 3, computed from risk-neutral moments of the market return
Update: extend Table 1 and the SVIX series from the paperâs end date (December 2022) through the most recent available data
Data sources (all available on WRDS): OptionMetrics IvyDB US for S&P 500 index options (
secid = 108105) and the zero-coupon yield curve; CRSP for S&P 500 total returnsNotes:
Do not attempt Table 2 (currency forecasting with quanto contracts): the quanto forward data from Kremens and Martin (2019) is proprietary (Markit Totem) and not available on WRDS. Table 3 is from Martin and Wagner (2019) and is out of scope for this project.
S&P 500 (SPX) options are European style, so no early-exercise adjustment is neededâraw option prices can be used directly in the SVIX integral.
Citation: Martin, Ian W. R. âInformation in Derivatives Markets: Forecasting Prices with Prices.â Annual Review of Financial Economics 17 (2025): 295â319. https://doi.org/10.1146/annurev-financial-082123-105811
Equity Term Structures#
12. Equity Term Structures without Dividend Strips Data#
Traded dividend strips directly reveal the term structure of equity risk premia, but the data only start around 2004 and cover few assets. This paper estimates âa rich affine model of equity prices, dividends, returns, and their dynamicsâ from a large cross-section of anomaly portfolios and shows that the model âprices dividend strips of the market and equity portfolios without using strips data in the estimation.â The result is a synthetic equity term structure extending back to the 1970s.
The data work is a classic cross-sectional asset pricing pipeline: build 102 value-weighted portfolios (terciles on 51 characteristics) from CRSP and Compustat following Kozak, Nagel, and Santosh (2020), compute portfolio dividend yields, and extract principal components. The authorâs website (https://www.serhiykozak.com/data) posts the portfolio data and the model-implied yields, so you can validate each step of your pipeline.
Tasks:
Replicate Table I (variance explained by anomaly PCs): the factor structure of the 51 long-short anomaly portfolios and the 102 underlying legs
Replicate Figures 1 and 2 (factor yields and factor returns): time series of the market and the three PC factors that make up the state vector (this plus Table I is the data-cleaning deliverable)
Replicate Figure 7 (model-implied forward equity yields for the market): estimate the model and plot forward equity yields across maturities, 1973â2020
Replicate Figure 8 (term structures conditional on NBER recessions): average term structures in recessions versus expansionsâthe cyclicality result at the heart of the equity term structure literature
Validate your model-implied yields against the estimates posted on the authorâs website
Data sources: CRSP and Compustat (WRDS); one-year risk-free rate and GĂźrkaynakâSackâWright Treasury yields (Federal Reserve, free); benchmark data and code from https://www.serhiykozak.com/data
Notes:
Skip Figures 3â6 and Table IV: they compare the model to traded dividend strip and futures data (van BinsbergenâKoijen, Bansal et al.), which is proprietary and not on WRDS. The validation step against the authorâs posted yields plays that role instead.
Citation: Giglio, Stefano, Bryan Kelly, and Serhiy Kozak. âEquity Term Structures without Dividend Strips Data.â Journal of Finance 79, no. 6 (2024): 4143â4196. Available at SSRN: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3533486
Paper PDF: GiglioKellyKozak2024EquityTermStructures.pdf
13. Equity Duration and Predictability#
Why do expected returnsârather than dividend growthâdominate stock price movements in postwar data, when the opposite held for the previous three centuries? This paperâs answer is rising equity duration: as firms cut payout ratios after 1945, the market became a longer-duration asset, and âexpected returns vary more for payouts further into the future.â The authors document this in three datasets: S&P 500 dividend strips (a short-duration version of the market), the aggregate market from 1629 to 2022, and payout-sorted stock portfolios. âBetween 1629 and 1945, expected returns explain around 35% of the variation in the dividend-to-price ratio. In the post-1945 period, this increases to 90%.â
The method is the same throughout: predictive regressions of returns and dividend growth on the dividend-to-price ratio, with the R²-style decomposition ER + EDG = 1. The authors post their data and code (Mendeley Data, linked from the article), the dividend strip series is on Benjamin Golezâs webpage, and the 1629â2015 historical series comes from Golez and Koudijs (2018).
Tasks:
Replicate Tables 1, 4, and 6 (summary statistics) and Figure 1 (total payout, 1871â2022): the three datasetsâ summary statistics and the payout-ratio decline that drives the paper (this is the data-cleaning deliverable)
Replicate Table 2 (strips versus market): predictive regressions for dividend strips and the market, 1996â2022, showing expected returns matter more for the longer-duration claim
Replicate Table 5 (subperiod predictability, 1629â2022): the ER/EDG decomposition across the four historical subperiodsâthe paperâs central result
Replicate Table 7 and Figure 3 (payout-sorted portfolios): predictability results for low/medium/high payout portfolios built from CRSP and Compustat, and the summary plot of ER against payout ratios
Skip Tables 8 and 9 (the calibrated present-value model)
Data sources: paperâs data and code package (Mendeley Data); dividend strip series from Benjamin Golezâs webpage; GolezâKoudijs (2018) historical series (1629â2015, included in the package); CRSP and Compustat (WRDS) for the cross-section; DavisâFamaâFrench book equity from Kenneth Frenchâs website; S&P 500 total returns from CRSP
Notes:
The paper uses Datastream for the S&P 500 price and total return indexes; CRSPâs S&P 500 series is an equivalent substitute.
Citation: Golez, Benjamin, and Peter Koudijs. âEquity Duration and Predictability.â Journal of Financial Economics 171 (2025): 104114. https://www.sciencedirect.com/science/article/pii/S0304405X25001229
Paper PDF: GolezKoudijs2025EquityDurationPredictability.pdf (companion data paper: GolezKoudijs2018FourCenturiesReturnPredictability.pdf)
Macro-Finance and Fiscal Policy#
14. Debt and Deficits: Fiscal Analysis with Stationary Ratios#
This paper asks how governments ultimately deal with a weak fiscal position: do taxes rise, does spending fall, or do the returns to holders of government debt adjust? The debt-GDP ratio is nonstationary in long historical data, so the authors instead construct a stationary âfiscal positionâ measureâa loglinear combination of tax revenue, government spending, and the market value of government debt. They find that âfiscal adjustment, particularly through changes in spending, is the empirically relevant channelâ for resolving weak fiscal positions.
This project involves assembling long historical time series (US 1841â2022, UK 1727â2022) by splicing together data from several public sourcesâa valuable exercise in data cleaning and documentation. All data is free and publicly available; no WRDS subscriptions are needed. The internet appendix (section IA.1) describes the data sources in detail.
Tasks:
Replicate the summary statistics table (internet appendix, section IA.5): means, standard deviations, and autocorrelations of debt returns, tax growth, spending growth, and the key ratios, for US and UK
Replicate Figure 1 (debt-GDP ratio in US and UK): the visual demonstration that debt-GDP is nonstationary
Replicate Figure 2 (tax-debt and spending-debt ratios in US and UK): the two ratios are individually nonstationary but cointegrated
Replicate Figure 3 (the fiscal position and surplus-debt ratio in US and UK): construct the paperâs loglinear fiscal position measure and show it is stationary
Replicate Table 1 (local projections, US and UK): regressions of cumulative future debt returns, tax growth, and spending growth on the fiscal positionâthe paperâs central result
Data sources (all free and public):
US: OMB total receipts, outlays, and interest payments (FRED, since 1901); market value of marketable federal debt from the Federal Reserve Bank of Dallas (from 1942) spliced with Hall and Sargent (2021) data for earlier years; GDP and GDP deflator from BEA and MeasuringWorth
UK: OBR historical public finances database (tax revenue and spending); market value of central government debt from the Bank of Englandâs A Millennium of Macroeconomic Data (1727â2016) spliced with BIS data (2017â2022); UK GDP and deflator from MeasuringWorth
Citation: Campbell, John Y., Can Gao, and Ian W. R. Martin. âDebt and Deficits: Fiscal Analysis with Stationary Ratios.â Working paper, August 2025. https://personal.lse.ac.uk/martiniw/Debt and Deficits 250806.pdf
Paper PDF: CampbellGaoMartin2025DebtAndDeficits.pdf