Hudson River Trading Quantitative Researcher Interview Guide

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Dan LeeData & AI Lead
Last updateFebruary 24, 2026
Hudson River Trading Quantitative Researcher Interview

Hudson River Trading Quantitative Researcher at a Glance

Interview Rounds

6 rounds

Difficulty

C++ PythonFinanceTradingQuantitative FinanceSystematic TradingAlgorithmic TradingFinancial ModelingStatistical ModelingResearch

From what candidates report, the single biggest reason people wash out of HRT's interview process isn't coding ability. It's statistics and probability. If you're coming from a CS background and plan to grind algorithm problems, you're preparing for the wrong fight.

Hudson River Trading Quantitative Researcher Role

Primary Focus

FinanceTradingQuantitative FinanceSystematic TradingAlgorithmic TradingFinancial ModelingStatistical ModelingResearch

Skill Profile

Math & StatsSoftware EngData & SQLMachine LearningApplied AIInfra & CloudBusinessViz & Comms

Math & Stats

Expert

The core of this role involves applying rigorous statistical analysis and developing complex mathematical models for predictive trading strategies, requiring a PhD-level understanding of quantitative methods.

Software Eng

High

Strong programming skills are essential for building, implementing, and maintaining the quantitative models and algorithms that drive trading. While not a pure software engineering role, proficiency in languages like C++ and Python is expected for efficient and robust model development.

Data & SQL

Medium

The researcher must be proficient in working with and analyzing vast quantities of market and financial data, implying an understanding of data structures and access. However, the role does not primarily involve designing or building data pipelines.

Machine Learning

High

The role focuses on building and maintaining predictive models and algorithms for trading, which heavily relies on advanced statistical modeling and machine learning techniques to extract signals from data.

Applied AI

Low

Based on the provided job descriptions for Hudson River Trading, there is no explicit mention of modern AI or Generative AI (e.g., Large Language Models) as a primary focus for this Quantitative Researcher role. The emphasis appears to be on traditional quantitative trading models.

Infra & Cloud

Low

The job description does not indicate responsibilities related to infrastructure management, cloud deployment, or system administration. These functions are typically handled by specialized engineering teams at HRT.

Business

Expert

A deep understanding of financial markets, trading strategies, and the ability to translate quantitative insights into profitable trading algorithms is fundamental to the role's success.

Viz & Comms

Low

While communication of research findings is always necessary, the job description does not emphasize data visualization or broad communication skills as a primary dimension for this research-focused role.

What You Need

  • Rigorous statistical analysis
  • Quantitative modeling
  • Ability to work with vast quantities of market and financial data
  • Algorithm development for trading
  • PhD in a quantitative field (e.g., Mathematics, Statistics, Computer Science, Physics, Engineering)

Languages

C++Python

Want to ace the interview?

Practice with real questions.

Start Mock Interview

Your job is to find, validate, and ship alpha signals across equities and futures that move real capital through HRT's automated trading systems. You'll prototype in Python, then pair with systems developers to translate winning signals into production C++ running inside HRT's low-latency pipeline. The research bar is exceptionally high: most signal candidates die in backtesting long before they see live capital, so your value in year one comes from iterating fast, killing bad ideas honestly, and demonstrating the rigor to get even one feature through HRT's internal simulation framework (which models realistic fills, latency, and transaction costs).

A Typical Week

A Week in the Life of a Hudson River Trading Quantitative Researcher

Typical L5 workweek · Hudson River Trading

Weekly time split

Analysis25%Research18%Coding15%Meetings12%Break12%Writing10%Infrastructure8%

Culture notes

  • HRT runs flat and intellectual — there's no bureaucratic overhead, but the scientific rigor expected of every research idea is exceptionally high, and most signal candidates die in backtesting long before they see live capital.
  • The firm is in-office in New York with researchers typically arriving between 7:00-7:30 AM and leaving around 5:30-6:00 PM; the pace is intense but sustainable, and the culture genuinely values curiosity and collaboration over face time.

The ratio of solo deep work to meetings is striking, but the real surprise is how much of your "coding" time isn't algorithm puzzles. It's pair programming with C++ devs to optimize cache behavior on your signal, or tracing a misaligned OPRA timestamp through HRT's internal data ingestion layer. You own the full research loop from tick data to internal wiki write-up, which is rare even among quant firms that claim flat structures.

Projects & Impact Areas

Mid-frequency signal research (minutes to hours, not microseconds) anchors the role. You might spend weeks building a nonlinear order-flow imbalance feature from queue position and trade-through data, then watch it fail out-of-sample. Execution quality work runs alongside alpha generation, where you model how strategies interact with order books to minimize slippage, and Friday cross-pod risk reviews force you to defend your model's behavior under tail scenarios in front of risk managers parsing aggregate portfolio exposures.

Skills & What's Expected

Business acumen is the skill most candidates underrate. HRT's interviews test finance intuition directly, and on the job you're expected to articulate why a signal works economically, not just that it backtests well. C++ and Python proficiency are expected per HRT's own mid-freq posting, and you'll work closely with engineers on production implementation even if you're not solely responsible for the trading code. Infrastructure and cloud ownership sit low on the priority list, though you still need to navigate HRT's internal data systems comfortably since pipeline proficiency matters at a working level.

Levels & Career Growth

HRT keeps titles flat, with no rigid Quant I, II, III ladder. Most new hires arrive with a PhD and start by contributing features to existing strategies before earning autonomy over a full signal pipeline. What separates levels is PnL impact and the willingness to kill losing ideas quickly rather than nursing them, a trait that from what candidates report, matters more than raw technical brilliance for advancement.

Work Culture

HRT operates more like a research lab than a bank, with a genuinely low-bureaucracy environment where you present directly to senior PMs. Researchers are in-office in New York, with arrivals around 7:00-7:30 AM and departures by 5:30-6:00 PM on typical days, though volatile markets stretch those hours significantly. The firm invests in custom hardware (they've blogged about verifying FPGA designs) and gives researchers real compute resources, which combined with small team sizes makes the day-to-day feel more like an academic group with actual stakes.

Hudson River Trading Quantitative Researcher Compensation

For non-partner roles, equity and RSUs are generally not part of the standard package. That means your comp structure is base salary plus a performance-based bonus, and from what the firm signals, that bonus can be a significant multiple of base. No vesting schedule to track, but also no equity upside to accumulate over time.

When negotiating, competing offers are your strongest card. The source data is clear that HRT weighs your "unique skills, research experience, technical prowess, and potential impact on trading strategies," so frame your case around those specifics rather than anchoring on base salary alone. Total comp is the number that matters here.

Hudson River Trading Quantitative Researcher Interview Process

6 rounds·~7 weeks end to end

Initial Screen

1 round
1

Recruiter Screen

30mPhone

This initial conversation with a recruiter will cover your background, career aspirations, and why you're interested in Hudson River Trading and the Quantitative Researcher role. Expect to discuss your resume, relevant projects, and basic fit for the company culture and demands of a high-frequency trading environment.

behavioralgeneral

Tips for this round

  • Clearly articulate your motivation for quantitative research and high-frequency trading.
  • Be prepared to briefly summarize your most impactful quantitative projects or research.
  • Research Hudson River Trading's business model and recent news to show genuine interest.
  • Practice concise answers for common behavioral questions like 'Why HRT?' and 'Tell me about yourself.'
  • Highlight any experience with competitive programming, math competitions, or challenging academic coursework.

Technical Assessment

4 rounds
2

Coding & Algorithms

90mtake-home

You'll receive an online assessment designed to test your foundational coding skills, algorithmic problem-solving, and quantitative reasoning. This typically involves solving several programming challenges that may incorporate elements of probability or statistics, often within a strict time limit.

algorithmsdata_structuresmathematicsstats_coding

Tips for this round

  • Practice datainterview.com/coding-style problems, focusing on medium to hard difficulty, especially those involving dynamic programming, graph theory, and data structures.
  • Brush up on common probability puzzles and statistical concepts that can be translated into code.
  • Ensure your code is clean, efficient, and well-tested, as correctness and performance are critical.
  • Familiarize yourself with common libraries for numerical computation and data manipulation in Python or C++.
  • Pay close attention to edge cases and constraints when developing your solutions.

Onsite

1 round
6

Behavioral

240mLive

The onsite stage typically consists of several back-to-back interviews with various team members, including senior quantitative researchers and potentially a partner. These sessions will combine advanced technical problem-solving (algorithms, probability, statistics, ML) with in-depth behavioral questions to assess your fit, resilience, and communication skills under pressure. You might also encounter a 'bar raiser' interview focused on maintaining high standards.

behavioralfinancealgorithmsstatistics

Tips for this round

  • Prepare for a marathon of intense technical questions across all previously covered areas, often at a higher difficulty.
  • Be ready to discuss your research projects in detail, including challenges faced and lessons learned.
  • Practice articulating your thought process clearly and concisely, even when solving complex problems.
  • Demonstrate strong communication skills, active listening, and the ability to collaborate on problem-solving.
  • Prepare thoughtful questions for your interviewers about their work, the team, and HRT's culture.
  • Show enthusiasm and resilience throughout the long interview day, maintaining energy and focus.

Tips to Stand Out

  • Master Fundamentals. Hudson River Trading places a strong emphasis on core computer science (algorithms, data structures) and quantitative skills (probability, statistics, linear algebra). Ensure your understanding is rock-solid.
  • Practice Problem Solving. Regularly solve challenging problems from platforms like datainterview.com/coding, datainterview.com/coding, and especially those focused on probability and statistics puzzles. Focus on explaining your thought process clearly.
  • Understand Quantitative Finance. While not always explicitly tested in early rounds, a genuine interest and basic understanding of financial markets, trading strategies, and market microstructure will set you apart.
  • Communicate Effectively. It's not enough to solve the problem; you must articulate your approach, assumptions, and reasoning clearly. Practice 'thinking out loud' during technical interviews.
  • Show Resilience and Curiosity. HRT interviews are notoriously difficult. Don't be discouraged by challenging questions. Demonstrate your ability to learn, adapt, and persevere through tough problems.
  • Prepare Behavioral Stories. Have several STAR method stories ready that highlight your problem-solving, teamwork, leadership, and ability to handle pressure and failure, tailored to a fast-paced environment.

Common Reasons Candidates Don't Pass

  • Weak Foundational Knowledge. Failing to demonstrate a deep understanding of core algorithms, data structures, probability, or statistics is a primary reason for rejection, as these are non-negotiable for a QR role.
  • Poor Problem-Solving Approach. Candidates who jump to solutions without clear reasoning, fail to consider edge cases, or struggle to optimize their solutions often don't progress.
  • Lack of Communication. Inability to articulate thought processes, ask clarifying questions, or explain complex ideas clearly during technical discussions is a significant red flag.
  • Insufficient Quantitative Aptitude. Struggling with brain-teaser style probability questions or complex mathematical reasoning indicates a potential mismatch for the role's demands.
  • Lack of Interest in Trading/Finance. While not always a direct technical test, a candidate who doesn't convey genuine curiosity or understanding of financial markets and high-frequency trading may be seen as a poor cultural fit.
  • Inability to Handle Pressure. The interview process is designed to be challenging. Candidates who become flustered, give up easily, or show poor composure under pressure are often screened out.

Offer & Negotiation

Hudson River Trading, like many top-tier quantitative trading firms, offers highly competitive compensation packages. These typically consist of a strong base salary and a significant performance-based bonus, which can often be a multiple of the base. Equity or RSUs are generally not part of the standard compensation for non-partner roles. When negotiating, focus on the total compensation package, emphasizing your unique skills and any competing offers. Be prepared to articulate your value based on your research experience, technical prowess, and potential impact on trading strategies.

The full loop runs about 7 weeks, which gives you breathing room but also creates a real risk of losing momentum. HRT's own blog says they intentionally avoid rushing candidates. Still, if a timeline concern comes up, raise it with your recruiter early, because HRT runs two separate coding rounds (Rounds 2 and 4), and that double-gate on implementation quality is unusual enough that rescheduling gets complicated.

From what candidates report, the Statistics & Probability round (Round 3) is where the most people wash out. That tracks with HRT's question distribution: 28% of interview content is stats and probability, the single largest category. If your prep has been mostly algorithm-focused, you'll likely hit a wall when asked to derive an estimator from scratch or work through a conditional expectation problem on a whiteboard with no code editor to lean on.

The behavioral round at the end isn't a cooldown lap. HRT's interview blog specifically calls out intellectual curiosity and comfort with being wrong as traits interviewers are trained to probe. Expect pointed questions about times your model failed, how you resolved disagreements with engineers, and what research problems you'd pursue if given a blank slate. Showing up with polished STAR stories but no genuine enthusiasm for the work itself won't get you through.

Hudson River Trading Quantitative Researcher Interview Questions

Statistics & Probability

Expect questions that force you to derive results under time pressure—conditioning, distributions, estimators, and asymptotics come up constantly. Candidates struggle most when they rely on memorized formulas instead of clean, first-principles reasoning.

You trade a very liquid equity with microprice changes $\Delta m_t$ and observe a weak signal $s_t$ each millisecond; you run an OLS regression $\Delta m_t = \beta s_t + \epsilon_t$ and see residuals are strongly autocorrelated. Under what conditions is $\hat\beta$ still unbiased, and how do you compute a valid standard error for $\hat\beta$ from a single day of data?

MediumTime Series Inference

Sample Answer

Most candidates default to plain i.i.d. OLS standard errors, but that fails here because autocorrelation makes the variance estimate wrong even when the point estimate can be fine. $\hat\beta$ is unbiased if $\mathbb{E}[\epsilon_t\mid s_{1:T}] = 0$ (or at least $\mathbb{E}[s_t\epsilon_t]=0$) and $s_t$ is predetermined with respect to $\epsilon_t$, autocorrelation in $\epsilon_t$ alone does not bias OLS. You need a heteroskedasticity and autocorrelation consistent estimate, for example Newey West with a lag $L$ that matches the dependence horizon, or block bootstrap with block length aligned to the correlation length.

Practice more Statistics & Probability questions

Algorithms & Coding (C++/Python)

Most candidates underestimate how much speed and precision matter when you implement under interview constraints. You’ll be tested on writing correct, efficient code with careful edge cases—often flavored with math/stat thinking rather than purely textbook puzzles.

You receive a tick stream for one symbol as (ts_ns, price, size) sorted by ts_ns and need a 1 second VWAP at every tick using only trades in $[ts-10^9, ts]$; implement an $O(n)$ algorithm that handles duplicate timestamps and large sizes safely.

MediumSliding Window, Streaming VWAP

Sample Answer

Maintain a deque of trades in the current 1 second window plus running sums of notional and volume, then compute $\mathrm{VWAP}=\frac{\sum p_i s_i}{\sum s_i}$ per tick. You push the new trade, add to both sums, then pop from the left while $ts_{left} < ts-10^9$ and subtract those values from the sums. Duplicate timestamps are fine because ordering is stable and window membership is timestamp based, not index based. Use integer arithmetic for sums, then cast to float at the end to avoid precision loss on large notionals.

from collections import deque
from typing import List, Tuple, Optional


def vwap_1s_per_tick(trades: List[Tuple[int, float, int]]) -> List[Optional[float]]:
    """Compute 1s trailing VWAP for each tick.

    Args:
        trades: List of (ts_ns, price, size), sorted by ts_ns ascending.

    Returns:
        List of VWAP values aligned to input trades. If window volume is zero,
        returns None (should not happen if sizes are positive).

    Notes:
        Window is inclusive: keep trades with ts_ns >= current_ts - 1e9.
    """
    ONE_SEC_NS = 1_000_000_000

    # Deque holds (ts_ns, price, size)
    window = deque()

    # Use Python ints for exact accumulation.
    total_notional = 0.0  # sum(price * size)
    total_volume = 0      # sum(size)

    out: List[Optional[float]] = []

    for ts, price, size in trades:
        # Add new trade.
        window.append((ts, price, size))
        total_notional += price * size
        total_volume += size

        # Evict trades older than 1s trailing window.
        cutoff = ts - ONE_SEC_NS
        while window and window[0][0] < cutoff:
            old_ts, old_price, old_size = window.popleft()
            total_notional -= old_price * old_size
            total_volume -= old_size

        if total_volume == 0:
            out.append(None)
        else:
            out.append(total_notional / total_volume)

    return out


if __name__ == "__main__":
    # Simple sanity check
    ticks = [
        (1_000_000_000, 100.0, 10),
        (1_200_000_000, 101.0, 10),
        (2_100_000_000,  99.0, 20),
    ]
    print(vwap_1s_per_tick(ticks))
Practice more Algorithms & Coding (C++/Python) questions

Mathematical Modeling & Optimization

Your ability to reason about objective functions, constraints, and stability is a direct proxy for whether you can build tradable models. Interviewers look for linear algebra fluency, convexity intuition, and the ability to sanity-check derivations.

You have two highly correlated equity microprice signals $s_1, s_2$ and you fit linear weights to predict next-tick midprice change with a stability constraint on turnover. Would you prefer ridge regression or an explicit quadratic penalty on weight changes over time, and why?

EasyRegularization and Stability

Sample Answer

You could do ridge on the coefficients or you could penalize changes in the coefficients across time (a smoothness penalty). Ridge wins here because multicollinearity is the immediate problem, it shrinks unstable directions and improves out-of-sample variance fast. The smoothness penalty targets regime drift and turnover, but it can still leave you with a noisy solution when $s_1$ and $s_2$ are nearly redundant. If the constraint is truly about executed turnover, combine them later, but start by fixing identifiability.

Practice more Mathematical Modeling & Optimization questions

Machine Learning for Alpha Modeling

The bar here isn't whether you know model names, it's whether you can design a robust predictive signal pipeline in your head. You’ll need to handle leakage, non-stationarity, validation schemes, regularization, and feature/target construction tradeoffs typical in market data.

You are building an alpha model for US equities that predicts next 5 minute mid-price return using trades, quotes, and order book imbalance. Describe a validation scheme that avoids leakage from overlapping labels and accounts for regime shifts, and name two concrete leakage sources you would explicitly test for.

MediumTime Series Validation, Leakage

Sample Answer

Reason through it: Walk through the logic step by step as if thinking out loud. Start by defining the prediction time $t$ and ensuring every feature is computable using only data timestamped at or before $t$, then define the label strictly on $(t, t+5\text{ min}]$ so no future information bleeds in. Use purged, embargoed cross-validation, for example split by contiguous time blocks, purge samples whose label windows overlap the test block, and add an embargo gap so feature lookbacks do not reach into the test period. Then layer in regime handling by evaluating on multiple disjoint market regimes (high vol days, low vol days, event days) and monitoring performance decay over time. Leakage sources to test include using bars built with the close that occurs after $t$ (bar alignment bugs), and universe or corporate action data that is finalized after the fact (survivorship bias, delayed split or dividend adjustments).

Practice more Machine Learning for Alpha Modeling questions

Stats Coding & Data Analysis (Python)

Rather than pure algorithm trivia, you’ll be asked to translate statistical ideas into working computations—returns, correlations, online estimates, and simulation. The common failure mode is writing code that runs but encodes the wrong statistic or mishandles numerical issues.

You receive a stream of midprices for a single US equity as (timestamp_ns, mid) with irregular updates and occasional duplicates; write Python to compute 1-second log returns on a fixed 1-second grid using last observation carry-forward. Also return the fraction of 1-second bins that had no update and were forward-filled.

EasyTime Series Returns, Resampling

Sample Answer

This question is checking whether you can translate a market data stream into the exact statistic asked for, without silently changing the sampling scheme. You need last observation carry-forward on a fixed grid, then compute $r_t = \log(p_t) - \log(p_{t-1})$ on that grid. Handle duplicates by keeping the last value within the same timestamp, and count forward-filled bins by comparing whether the grid time had a new update. Most people fail by using naive percent returns, using the wrong resample anchor, or dropping empty bins which changes the distribution.

import numpy as np
import pandas as pd


def one_sec_log_returns_locf(timestamps_ns, mids):
    """Return (returns_series, frac_forward_filled).

    timestamps_ns: 1d array-like of int nanoseconds
    mids: 1d array-like of float midprices
    """
    df = pd.DataFrame({"ts": pd.to_datetime(pd.Series(timestamps_ns, dtype="int64"), unit="ns"),
                       "mid": pd.Series(mids, dtype="float64")})
    # Keep last mid for duplicate timestamps
    df = df.sort_values("ts").dropna(subset=["mid"])
    df = df.groupby("ts", as_index=False).last()
    df = df.set_index("ts")

    # Build fixed 1-second grid
    start = df.index.min().floor("S")
    end = df.index.max().ceil("S")
    grid = pd.date_range(start=start, end=end, freq="1S")

    # Align updates to grid using LOCF
    aligned = df.reindex(grid)
    had_update = aligned["mid"].notna()
    aligned["mid"] = aligned["mid"].ffill()

    # Forward-filled bins are those with no update but have a value after ffill
    forward_filled = (~had_update) & (aligned["mid"].notna())
    frac_forward_filled = float(forward_filled.mean()) if len(aligned) else np.nan

    # Log returns on grid
    logp = np.log(aligned["mid"])
    rets = logp.diff()
    rets.name = "log_return_1s"

    return rets, frac_forward_filled
Practice more Stats Coding & Data Analysis (Python) questions

Finance & Systematic Trading Intuition

In practice, market microstructure and trading constraints shape what models are viable, so you must connect math to PnL reality. You’ll be probed on how signals become trades, how costs/risks enter, and how you’d diagnose when a strategy stops working.

You have a cross-venue equity alpha with daily Sharpe $2.0$ before costs, average turnover $150\%$ per day, and estimated implementation shortfall $6$ bps per $100\%$ turnover. Do you trade it, and what quick sanity check do you run to see if the backtest is lying about costs?

EasyTransaction Costs and Turnover

Sample Answer

The standard move is to convert turnover to expected bps drag and see if net Sharpe survives. But here, cost nonlinearity matters because impact scales with urgency and size, so you sanity check by slicing fills by participation rate or by simulated queue position to see if the 6 bps assumption breaks at your volumes.

Practice more Finance & Systematic Trading Intuition questions

HRT's question mix rewards candidates who can start from a probability derivation and, without switching gears, land on a portfolio optimization or signal-weighting problem. That compounding difficulty between stats and modeling mirrors how the actual job works: your morning PnL review surfaces a distributional anomaly, and by afternoon you're reformulating an objective function to account for it. The prep mistake most likely to sink you isn't neglecting any single area, it's treating them as separate study tracks instead of practicing the handoffs between them, which is exactly what HRT's two-round coding structure and dedicated stats round are designed to expose.

Practice HRT-caliber questions across stats, modeling, ML, and finance intuition at datainterview.com/questions.

How to Prepare for Hudson River Trading Quantitative Researcher Interviews

Know the Business

Updated Q1 2026

Hudson River Trading's real mission is to leverage advanced mathematics and technology to develop sophisticated automated trading algorithms, provide liquidity across global financial markets, and drive innovation in the industry while advocating for fair and transparent markets.

New York City, New YorkHybrid - Flexible

Funding & Scale

Stage

Debt Refinancing

Total Raised

$677M

Last Round

Q1 2026

Employees

1K

Business Segments and Where DS Fits

Quantitative Trading and Market Making

A quantitative trading firm leveraging a world class scientific approach in capital markets. The firm cultivates sophisticated computing environments for research and development and is at the forefront of innovation in algorithmic trading. It provides diversified liquidity and competitive prices on trading platforms.

DS focus: Algorithmic trading, scientific approach to capital markets, research and development of sophisticated computing environments.

Current Strategic Priorities

  • Become a market maker on TP ICAP's Digital Assets Spot platform to provide diversified liquidity and competitive prices for buyers and sellers.

Competitive Moat

Mid-frequency trading strategies (holding positions for days/weeks, increased risk appetite)High-touch methods for retail brokerage ordersExpansion into debt, credit, and options marketsSignificant investment in AI and technology-driven operationsStatistical arbitrage business using quantitative analysisEquity wholesale tradingQuality workforceInnovation

HRT is expanding fast. The firm's 2025 trading revenue is on track for a record $12.3 billion, and it's pushing into new territory like market making on TP ICAP's Digital Assets Spot platform. For quant researchers, that means more instruments and more cross-asset signals to discover, backed by serious infrastructure (the team has written about verifying custom FPGA hardware designs in-house).

Most candidates fumble "why HRT?" by defaulting to prestige or name-dropping high-frequency trading. What actually works: anchor your answer to something specific, like the mid-frequency quant researcher role that blends deep statistical research with production C++ and Python, or HRT's expansion into crypto market making. A firm of roughly 1,150 people generating $12.3 billion in trading revenue is a very different environment from a multi-thousand-person megafund, and your answer should reflect that you've thought about what that ratio implies for the kind of work you'd actually do.

Try a Real Interview Question

Online Exponentially Weighted Mean and Volatility

python

Given a time series of returns $r_1,\dots,r_n$ and decay factor $\lambda\in(0,1)$, compute the exponentially weighted mean $\mu_t$ and volatility $\sigma_t$ for each $t$ using $\mu_t=\lambda\mu_{t-1}+(1-\lambda)r_t$ and $v_t=\lambda v_{t-1}+(1-\lambda)(r_t-\mu_{t-1})^2$ with $\mu_0=0$ and $v_0=0$. Output two lists $(\mu_1,\dots,\mu_n)$ and $(\sigma_1,\dots,\sigma_n)$ where $\sigma_t=\sqrt{v_t}$; implement in $O(n)$ time and $O(1)$ extra space besides the outputs.

from typing import Iterable, List, Tuple
import math

def ewma_mean_vol(returns: Iterable[float], lam: float) -> Tuple[List[float], List[float]]:
    """Compute EWMA mean and volatility for a sequence of returns.

    Args:
        returns: Iterable of returns r_t.
        lam: Decay factor lambda in (0, 1).

    Returns:
        A tuple (mus, sigmas) where mus[t-1] = mu_t and sigmas[t-1] = sigma_t.
    """
    pass

700+ ML coding problems with a live Python executor.

Practice in the Engine

HRT's own interview blog emphasizes that interviewers care about how you think through a problem, not just whether your code compiles. Their mid-frequency researcher posting lists both C++ and Python as requirements, so expect to write production-quality code in either language under time pressure. Build that muscle at datainterview.com/coding.

Test Your Readiness

How Ready Are You for Hudson River Trading Quantitative Researcher?

1 / 10
Statistics & Probability

Can you derive and use conditional expectations and variances (law of total expectation and variance) to solve interview style problems involving mixtures or hidden regimes?

HRT's engineering and interviewing blog makes clear they probe for genuine curiosity and willingness to be wrong, not just textbook recall. Sharpen your weak spots across all tested topics at datainterview.com/questions.

Frequently Asked Questions

How long does the Hudson River Trading Quantitative Researcher interview process take?

Expect roughly 4 to 8 weeks from first contact to offer. The process typically starts with a recruiter screen, moves to one or two technical phone screens focused on math and probability, and then culminates in a full onsite (or virtual equivalent). HRT tends to move quickly compared to some buy-side firms, but scheduling the onsite with multiple interviewers can add a week or two. If you're in active recruiting cycles, things can compress.

What technical skills are tested in the HRT Quantitative Researcher interview?

The bar is high. You'll be tested on probability theory, statistics, stochastic processes, and mathematical reasoning. Coding ability matters too, primarily in Python and C++. Expect to write code that implements a model or solves a quantitative problem on the spot. They also probe your ability to work with large datasets and think about algorithm efficiency. If your PhD is in math, physics, or CS, lean into that domain knowledge because they'll push you to the edges of what you know.

How should I prepare my resume for a Hudson River Trading Quantitative Researcher role?

Lead with your PhD research and any published work in quantitative fields like mathematics, statistics, physics, or computer science. HRT cares about intellectual horsepower, so highlight novel methods you developed, not just tools you used. If you've done anything with financial data, time series, or signal processing, put it front and center. List Python and C++ explicitly. Keep it to one page if you're early career, two if you have significant postdoc or industry experience. Cut anything that doesn't scream 'I think rigorously about hard quantitative problems.'

What is the total compensation for a Quantitative Researcher at Hudson River Trading?

HRT is one of the top-paying firms in quantitative trading. For a Quantitative Researcher, total compensation (base plus bonus) can range from roughly $300K to $600K+ for someone relatively junior, with senior researchers earning well above that. Bonuses are a huge component and are heavily tied to the P&L of your strategies. Base salaries alone tend to start around $150K to $250K depending on experience. These numbers fluctuate with firm performance, but HRT consistently pays at or near the top of the quant trading market.

How do I prepare for the behavioral interview at Hudson River Trading?

HRT's culture emphasizes curiosity, collaboration, and intellectual honesty. They want people who are genuinely passionate about markets and problem-solving, not just chasing comp. Prepare stories about times you collaborated on hard technical problems, changed your mind based on evidence, or pursued a research direction out of pure curiosity. Show that you're thoughtful and low-ego. They value transparency and trust, so don't oversell your contributions on team projects. Be real about what you did versus what others did.

How hard are the coding questions in the HRT Quantitative Researcher interview?

They're hard, but the flavor is different from a typical software engineering interview. You won't get generic algorithm puzzles. Instead, expect problems that blend coding with quantitative reasoning. Think: implement a simulation, optimize a numerical method, or process market data efficiently. Python is the most common language for these, though C++ may come up if performance matters for the problem. I'd rate the difficulty as medium-hard on pure coding, but the math layer on top makes it genuinely tough. Practice quantitative coding problems at datainterview.com/coding to get the right feel.

What probability and statistics concepts should I know for the Hudson River Trading quant interview?

You need strong fundamentals and the ability to apply them under pressure. Core topics include conditional probability, Bayes' theorem, Markov chains, stochastic calculus, hypothesis testing, regression analysis, and maximum likelihood estimation. They'll also test your intuition with brainteaser-style probability questions. Expect questions on distributions (normal, Poisson, exponential) and when to use them. Time series analysis and signal-to-noise reasoning come up frequently given the trading context. Don't just memorize formulas. They want to see you reason through problems from first principles.

How should I structure answers to behavioral questions at HRT?

Keep it tight. I recommend a modified STAR format: briefly set the Situation, skip to the core problem (Task), spend most of your time on what you actually did (Action), and close with a concrete Result. For HRT specifically, emphasize your thought process and intellectual honesty. If a research project failed, say so, and explain what you learned. They're not looking for polished corporate answers. They want to see how you think, how you collaborate, and whether you'd be someone they'd enjoy working with in a small, intense team.

What happens during the Hudson River Trading onsite interview for Quantitative Researchers?

The onsite typically consists of 4 to 6 rounds spread across a full day. Expect a mix of pure math and probability rounds, coding sessions, and at least one or two conversations focused on your research background and cultural fit. Some rounds involve whiteboard-style problem solving where you work through a problem live with a researcher. Others may be more conversational, digging into your PhD work or past projects. Lunch is usually with team members and it's informal, but they're still evaluating whether you'd fit the collaborative culture. Come ready to think on your feet for several hours straight.

What market or business concepts should I understand for the HRT quant researcher interview?

You should understand market microstructure basics: bid-ask spreads, order books, liquidity, and how automated market makers operate. Know what alpha signals are and how they decay. Understand concepts like Sharpe ratio, drawdown, and risk-adjusted returns. HRT is a high-frequency trading firm that provides liquidity across global markets, so having a mental model of how their business works matters. You don't need to be a finance expert, but showing zero curiosity about how trading actually works is a red flag. Read up on electronic market making and think about how statistical models translate into trading decisions.

What are common mistakes candidates make in the Hudson River Trading Quantitative Researcher interview?

The biggest one I've seen is treating it like a pure software engineering interview. It's not. The math and probability components are where most people get filtered. Another common mistake is being too polished and not showing your real thinking process. HRT interviewers want to see you struggle productively with a hard problem, not recite a memorized solution. Also, don't neglect the cultural fit piece. Candidates who come across as arrogant or unwilling to collaborate get dinged even if their technical skills are strong. Finally, not knowing anything about HRT's business model or how quant trading works signals a lack of genuine interest.

What programming languages should I focus on for the HRT Quantitative Researcher interview?

Python is the primary language you'll use in interviews. Be comfortable with NumPy, pandas, and writing clean, efficient code for numerical computation. C++ matters too, especially if your role involves anything close to production trading systems. HRT uses C++ heavily in their infrastructure, so demonstrating proficiency there is a plus. That said, for the interview itself, most candidates default to Python and that's perfectly fine. Just make sure you can actually code, not just write pseudocode. Practice real implementation problems at datainterview.com/coding to build that muscle.

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Dan Lee

Data & AI Lead

Dan is a seasoned data scientist and ML coach with 10+ years of experience at Google, PayPal, and startups. He has helped candidates land top-paying roles and offers personalized guidance to accelerate your data career.

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