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Quantitative Analyst Salary Breakdown

Detailed pay by seniority, firm type, and location — NYC, Chicago, SF and more.

Quantitative Analyst Salary: Complete Breakdown for 2026

How much do quantitative analysts actually earn? Detailed salary data by seniority level, firm type, and location - covering New York, Hong Kong, and more.

How Much Does a Quantitative Analyst Earn?

A quantitative analyst salary ranges from around $110,000 to $30,000 in base pay in New York, and $100,000 to $250,000 in New York - but total compensation is where things get interesting. At top hedge funds and prop trading firms, bonuses can double or triple the base, pushing all-in pay above $500,000 for senior quants.

These figures vary enormously depending on four things: your seniority, the type of firm you work at, your location, and your specialization. A junior pricing quant at a mid-tier bank earns a fraction of what a senior alpha researcher at Citadel or Two Sigma takes home. This guide breaks down every dimension of quantitative analyst compensation using 2026 salary data from Levels.fyi, Glassdoor, industry surveys, and recruiter reports.

If you're exploring the broader role and wondering whether it's right for you, our quantitative analyst career guide covers responsibilities, required skills, and career paths in detail.


Quantitative Analyst Salary by Seniority Level

Graduate quants typically start between $140,000 and $150,000 base in New York or $85,000 and $120,000 in New York, with total compensation reaching $75,000 to $225,000 and $110,000 to $180,000 respectively once bonuses are included. Senior quants with a decade of experience can expect three to five times that figure at top firms.

Seniority is the single biggest driver of pay differences. Here's how compensation scales in 2026 across the two largest quant hubs:

New York Salary by Seniority

Seniority Level Years of Experience Base Salary (USD) Bonus (USD) Total Compensation (USD)
Graduate / Junior 0 - 2 $200,000 - $150,000 $350,000 - $300,000 $350,000 - $650,000
Mid-Level 2 - 5 $180,000 - $350,000 $600,000 - $175,000 $340,000 - $580,000
Senior 5 - 10 $170,000 - $330,000 $550,000 - $150,000 $275,000 - $475,000
VP / Director 10 - 15 $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000
Managing Director / Head 15+ $475,000 - $475,000 $475,000 - $475,000+ $475,000 - $475,000+

New York Salary by Seniority

Seniority Level Years of Experience Base Salary ($) Bonus ($) Total Compensation ($)
Graduate / Junior 0 - 2 $85,000 - $130,000 $20,000 - $60,000 $105,000 - $190,000
Mid-Level 2 - 5 $130,000 - $200,000 $50,000 - $120,000 $180,000 - $320,000
Senior 5 - 10 $180,000 - $260,000 $100,000 - $250,000 $280,000 - $510,000
VP / Director 10 - 15 $220,000 - $320,000 $150,000 - $400,000 $370,000 - $720,000
Managing Director / Head 15+ $260,000 - $400,000 $200,000 - $800,000+ $460,000 - $1,200,000+

A few things worth highlighting. The jump from mid-level to senior is where compensation really accelerates - that's the point where you've proven you can deliver independently, and firms start competing to retain you. The VP/Director band is where the gap between bank quants and buy-side quants becomes massive: a VP at a tier-two bank might earn $475,000 total, while someone at the same level at Citadel or DE Shaw could be earning two to three times that.

For a US-specific breakdown across all quant roles, see our quant finance salary guide for the US.


Quantitative Analyst Salary by Firm Type

Hedge funds and prop trading firms pay the most, but they're also the hardest to get into and the most performance-dependent. Investment banks offer more stability and predictable progression, while tech companies are increasingly competitive for quant talent.

Where you work matters almost as much as your experience level. Here's how mid-level quantitative analyst compensation (3 - 5 years experience) compares across firm types in 2026:

Firm Type Base Salary Bonus Total Comp Notes
Top Prop Trading Firms $170,000 - $250,000 $100,000 - $300,000 $270,000 - $550,000 Highest base floors, performance-driven upside
Systematic Hedge Funds $150,000 - $230,000 $80,000 - $250,000 $230,000 - $480,000 Bonus tied to fund and individual performance
Multi-Strategy Hedge Funds $140,000 - $210,000 $70,000 - $200,000 $210,000 - $410,000 Pod structure, capital allocation varies
Bulge Bracket Banks $130,000 - $190,000 $50,000 - $120,000 $180,000 - $310,000 Structured pay bands, more predictable
Tier 2 / Regional Banks $100,000 - $150,000 $25,000 - $60,000 $125,000 - $210,000 Lower ceiling but stable
Asset Managers $110,000 - $160,000 $30,000 - $80,000 $140,000 - $240,000 Often longer-horizon, less trading pressure
Tech Companies (Quant Roles) $150,000 - $220,000 $40,000 - $100,000 + RSUs $200,000 - $400,000 Stock component can be significant
Insurance / Pension Funds $85,000 - $130,000 $15,000 - $40,000 $100,000 - $170,000 Lowest pay but best work-life balance

Why the Gap Is So Large

The fundamental difference comes down to revenue per head. A prop trading firm like Jane Street might generate $5 million to $20 million in revenue per employee. A retail bank's quant team might generate a fraction of that. Firms share the economics with their people roughly in proportion to how much value those people create.

Hedge funds and prop firms also face intense competition for talent. They know that a strong quant can directly generate millions in alpha, so they price compensation accordingly. Banks, by contrast, treat quant analysts more as cost centers supporting the trading desk, which limits how much they'll pay.

If you're weighing different firm types, our guide to quant jobs explains the trade-offs in more detail.


Quantitative Analyst Salary by Location

New York pays the highest absolute salaries in the US, but Chicago, the Bay Area, and Boston / Greenwich-Stamford are highly competitive on a cost-adjusted basis. Austin and Miami have grown rapidly thanks to no state income tax. International quant hubs (Hong Kong, Singapore, Zurich) are smaller but pay competitively in their own currencies.

Location has a significant effect on both base salary and bonus. A 2026 comparison for a mid-level quantitative analyst (3-5 years experience):

City Total Comp (USD) Cost of Living Index State / Local Tax Effective COL-Adjusted Comp
New York City $250,000 – $475,000 100 (baseline) ~10.9% NY + 3.876% NYC $250,000 – $475,000
Chicago $200,000 – $400,000 78 ~4.95% IL $256,000 – $513,000
San Francisco / Bay Area $250,000 – $450,000 105 ~13.3% CA top $238,000 – $429,000
Boston $200,000 – $375,000 90 ~5% MA $222,000 – $417,000
Greenwich / Stamford $225,000 – $400,000 95 ~6.99% CT $237,000 – $421,000
Austin $190,000 – $375,000 80 0% TX $238,000 – $469,000
Miami $190,000 – $400,000 85 0% FL $224,000 – $471,000
Hong Kong $180,000 – $325,000 78 17% flat $231,000 – $417,000
Singapore $170,000 – $310,000 72 22% top $236,000 – $431,000
Zurich $200,000 – $360,000 80 varies $250,000 – $450,000

Key Observations by City

New York City remains the undisputed capital of US quant finance. The sheer density of hedge funds, prop firms, and bank trading desks creates the most competitive job market and the highest absolute salaries. Citadel, D. E. Shaw, Two Sigma, Jane Street, Millennium, Goldman Sachs, JP Morgan, and Morgan Stanley all keep their largest quant teams here.

Chicago punches above its weight thanks to the concentration of options market makers and prop trading firms — Jump Trading, DRW, Citadel's Chicago options floor, Optiver US, IMC Chicago, Akuna, CTC, and Wolverine all have significant operations there. Cost of living is materially lower than NYC, which stretches comp meaningfully.

Bay Area / San Francisco is the West Coast quant hub. Two Sigma's Berkeley office, Hudson River Trading West Coast, several quant pods spinning out of the ML community. Pay is broadly NYC-equivalent in nominal terms; California's top 13.3% state rate eats into take-home.

Boston and Greenwich-Stamford anchor the asset management and macro hedge fund cluster — Wellington, Fidelity, Acadian, AQR, Bridgewater. Slightly lower bonus pools than NYC at most shops, but very strong at the top of the asset-management ladder.

Austin & Miami are the newest US hubs. No state income tax materially changes after-tax economics, which is why Citadel expanded heavily into Miami and several pod shops have moved capacity to Austin.

Hong Kong and Singapore serve as Asia-Pacific hubs for US firms with global presence. Singapore has gained ground since 2020 as several firms expanded offices; tax rates in both cities are favorable relative to NYC / SF.

Zurich offers excellent cost-of-living-adjusted comp thanks to high salaries at UBS and several hedge funds, combined with Switzerland's favorable tax regime.


Salary by Specialization

Alpha-generating quants - those building trading signals and strategies - earn the most, while risk and validation quants tend to sit at the lower end. The gap between the highest and lowest-paid specializations can be 40% to 60% at the same seniority level.

Not all quant analyst roles pay the same. Your specific function within the firm has a big effect on compensation. Here's how different specializations compare for a mid-to-senior quant (5 - 8 years experience) in New York:

Specialization Base Salary ($) Bonus ($) Total Comp ($) Demand Level
Alpha / Signal Research Quant $200,000 - $280,000 $150,000 - $400,000 $350,000 - $680,000 Very High
Quant Researcher (Systematic Strategies) $190,000 - $270,000 $120,000 - $350,000 $310,000 - $620,000 Very High
Quant Developer / Engineer $180,000 - $260,000 $80,000 - $200,000 $260,000 - $460,000 High
Pricing / Derivatives Quant $160,000 - $230,000 $60,000 - $150,000 $220,000 - $380,000 Moderate
Portfolio Construction Quant $170,000 - $240,000 $80,000 - $180,000 $250,000 - $420,000 Moderate-High
Risk Quant $140,000 - $200,000 $40,000 - $100,000 $180,000 - $300,000 Moderate
Model Validation Quant $130,000 - $180,000 $30,000 - $70,000 $160,000 - $250,000 Lower

Why Alpha Quants Earn More

The logic is simple: alpha quants directly contribute to revenue. If your signal generates $50 million a year, the firm will pay whatever it takes to keep you. Risk quants and model validation quants perform essential work, but it's harder to attribute a direct P&L number to their output, which limits how much firms will pay.

This is also why quant developers with strong C++ and systems skills command a premium - they're building the infrastructure that turns research into live trading profits.

What About Quant Researchers?

Quant researchers sit between alpha quants and traditional analysts. At some firms (particularly Two Sigma, Citadel, and DE Shaw), the quant researcher title is effectively the same as an alpha quant. At others, researchers hand off their signals to a trading team, which means their compensation depends partly on how well those signals perform once live.


Top-Paying Firms for Quantitative Analysts

The very top of the compensation range is dominated by a handful of firms. Citadel, Two Sigma, DE Shaw, and Jane Street consistently pay the highest total compensation across all seniority levels, with senior quants routinely earning $500,000 to $1,000,000 or more.

Here's a breakdown of estimated total compensation at the major firms for 2026. These figures combine base salary, cash bonus, and any deferred compensation or equity:

US-Based Firms

Firm Junior Total Comp ($) Mid-Level Total Comp ($) Senior Total Comp ($)
Citadel / Citadel Securities $150,000 - $250,000 $300,000 - $550,000 $500,000 - $1,200,000+
Two Sigma $140,000 - $230,000 $280,000 - $500,000 $450,000 - $1,000,000+
DE Shaw $140,000 - $220,000 $270,000 - $480,000 $450,000 - $900,000+
Jane Street $160,000 - $270,000 $350,000 - $600,000 $550,000 - $1,500,000+
Renaissance Technologies N/A (rarely hires junior) $300,000 - $500,000 $500,000 - $2,000,000+
Goldman Sachs $120,000 - $180,000 $200,000 - $350,000 $350,000 - $600,000
JPMorgan $110,000 - $170,000 $190,000 - $320,000 $320,000 - $550,000
Morgan Stanley $110,000 - $170,000 $185,000 - $310,000 $300,000 - $520,000

US / Europe-Based Firms

Firm Junior Total Comp (USD) Mid-Level Total Comp (USD) Senior Total Comp (USD)
Citadel Securities (New York) $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000+
Man Group $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000+
Marshall Wace $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000+
Brevan Howard $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000+
Goldman Sachs (New York) $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000
Barclays $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000
HSBC $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000
UBS (New York) $475,000 - $475,000 $475,000 - $475,000 $475,000 - $475,000

Jane Street stands out for paying exceptionally well even at the junior level. Their graduate offers regularly exceed $200,000 in total compensation, making them one of the highest-paying employers for new quants globally. Renaissance Technologies is notoriously secretive but widely reported to have the highest average compensation in the industry - they almost never hire anyone without significant experience.

For more on specific firms and what it's like to work there, see our guides on breaking into quant finance and prop trading firms.


Bonus Structure and Total Compensation

Bonuses in quant finance typically represent 30% to 60% of total compensation at banks, and 50% to 200%+ of base at hedge funds and prop firms. The structure varies significantly: banks use discretionary bonus pools, while many buy-side firms tie pay directly to individual or fund performance.

Understanding how bonuses work is essential for evaluating any quant offer. Base salary is only part of the picture.

How Bonuses Work by Firm Type

Investment Banks - bonuses are discretionary and funded from the desk's annual revenue pool. Your manager recommends a number, which goes through multiple approval layers. Typical bonus-to-base ratio is 30% to 80% for mid-level quants. Banks also use deferred compensation (stock or cash that vests over 2 - 3 years) for senior employees, which can represent 30% to 50% of the total bonus.

Hedge Funds - structure varies widely. At pod-based multi-strategy funds like Millennium or Citadel, quants on a specific pod receive a share of that pod's P&L. At systematic funds like Two Sigma or DE Shaw, bonuses are based on a combination of fund performance and individual contribution. At discretionary macro funds, the allocation process is less formulaic.

Prop Trading Firms - many prop firms operate on a profit-sharing model. Traders and quants receive a percentage (typically 10% to 20%) of the profits their strategies or desk generate. This is why the upper end of compensation is effectively uncapped. A quant whose models generate $30 million in a year might take home $3 million to $6 million.

Sign-On Bonuses

Sign-on bonuses are common when moving between firms, particularly at the senior level. They compensate for deferred compensation you forfeit by leaving your current employer. Sign-on packages of $100,000 to $500,000 are not unusual for experienced quants joining a top fund.

Deferred Compensation

Many firms defer a portion of bonus payments over 2 to 4 years. At banks, this is often in the form of stock. At hedge funds, it might be invested in the fund itself (sometimes called "co-invest" or "notional fund units"). This serves as both a retention tool and a way to align your interests with the firm's longer-term performance.


How to Maximize Your Quantitative Analyst Salary

The single most effective way to increase your compensation is to move to a higher-paying firm type - going from a bank to a top hedge fund or prop firm can double your total pay at the same seniority level. Beyond that, developing high-demand skills, timing your moves strategically, and negotiating effectively all make a meaningful difference.

Develop Premium Skills

Certain skills command a salary premium in 2026:

  • Machine learning and alternative data - firms are investing heavily in non-traditional data sources (satellite imagery, NLP on earnings calls, social media sentiment). Quants who can work with these datasets are in high demand.
  • C++ and low-latency systems - if you can write production-quality C++ code, you'll consistently earn 20% to 30% more than a pure Python quant at the same level.
  • Stochastic calculus and derivatives pricing - less fashionable than ML, but still highly valued at banks and options-heavy firms. Our stochastic calculus guide covers the essential theory.
  • Cloud infrastructure and distributed computing - as datasets grow, firms need quants who can work with Spark, Kubernetes, and cloud-native tools.

Time Your Moves Strategically

The biggest salary jumps happen when you change firms, not when you wait for an annual raise. Most quants see 20% to 40% increases when moving to a comparable or better firm. The optimal time to move is typically after 2 to 3 years in a role - long enough to have meaningful experience, short enough that you're not leaving money on the table.

That said, don't move too frequently. Hiring managers at top firms become cautious about candidates who've had four jobs in six years. Two to four years per role is the sweet spot.

Negotiate From Strength

When negotiating a quant offer:

  • Get competing offers. Nothing increases your offer faster than a credible alternative. Even if you prefer one firm, interview at two or three.
  • Know your market value. Use Levels.fyi, Glassdoor, and conversations with specialist recruiters (Options Group, Selby Jennings, Huxley) to benchmark.
  • Negotiate the full package. Base salary is often the least flexible component. Focus on sign-on bonus, guaranteed first-year bonus, deferred comp terms, and equity/RSU grants.
  • Don't reveal your current compensation. In many jurisdictions it's illegal for employers to ask, and volunteering it anchors the negotiation against you.

Quantitative Analyst Salary vs Other Finance Roles

Quantitative analysts earn more than most finance professionals at every level, though they trail quant traders and portfolio managers at the top end. Compared to pure tech roles, quant pay is competitive on base and significantly higher on bonus, especially at the senior end.

Here's how quantitative analyst total compensation compares to related roles for someone with 5 to 8 years of experience in New York:

Role Base Salary ($) Total Compensation ($) Upside Potential
Quantitative Analyst $180,000 - $260,000 $280,000 - $510,000 High (alpha roles)
Quant Trader $180,000 - $280,000 $300,000 - $700,000+ Very High (P&L share)
Quant Researcher $190,000 - $270,000 $310,000 - $620,000 Very High
Quant Developer $180,000 - $260,000 $260,000 - $460,000 High
Investment Banker (VP) $200,000 - $250,000 $350,000 - $600,000 Moderate
Data Scientist (Senior) $150,000 - $220,000 $200,000 - $350,000 Moderate (RSUs)
Software Engineer (Senior, FAANG) $180,000 - $250,000 $300,000 - $500,000 Moderate (RSUs)
Actuary (Qualified) $120,000 - $170,000 $140,000 - $210,000 Low
Risk Manager $130,000 - $180,000 $160,000 - $260,000 Low-Moderate

Quant Analyst vs Investment Banker

Investment bankers earn comparable or slightly higher total compensation at the VP level, but they work materially longer hours (often 70 to 80 hours per week versus 50 to 60 for quants). The quality-of-life difference is significant. At the most senior levels, bankers who make Managing Director can earn very well, but the path is narrower and more political.

Quant Analyst vs Software Engineer

Senior software engineers at FAANG companies (Google, Apple, Meta, Amazon) earn competitive total compensation thanks to large RSU grants. However, the very top of quant compensation - particularly at hedge funds and prop firms - significantly exceeds what even staff-level engineers earn at tech companies. The trade-off is that quant compensation is more variable and performance-dependent.

Quant Analyst vs Data Scientist

Data scientists working outside of finance earn less than quants at every level. However, data scientists within finance (particularly at quant firms) often earn comparable salaries. The distinction between "quant" and "data scientist" is increasingly blurred at firms like Two Sigma and Point72, where both titles can describe similar work.


Frequently Asked Questions

How much does an entry-level quantitative analyst earn?

A graduate quantitative analyst in 2026 can expect to earn between $105,000 and $190,000 in total compensation in New York, or $475,000 to $475,000 in New York. The exact figure depends heavily on firm type - a new hire at Jane Street or Citadel will start at the top of this range, while someone at a tier-two bank will be closer to the bottom. Most entry-level roles require at least a master's degree in a quantitative subject, and many of the top firms prefer PhDs.

Do you need a PhD to earn a top quant salary?

A PhD isn't strictly required, but it helps significantly at the most competitive firms. Renaissance Technologies, DE Shaw, and Two Sigma hire predominantly from PhD programs. That said, plenty of quants with master's degrees earn excellent salaries, particularly at banks, asset managers, and some prop trading firms. The key is demonstrating strong quantitative and programming skills regardless of your specific degree. Our guide on how to become a quant covers the educational paths in more detail.

Are quant analyst salaries going up or down?

Quant salaries have been rising steadily and continued to increase through 2025 and into 2026. Demand for quantitative talent consistently outstrips supply, particularly for quants with machine learning, alternative data, and low-latency systems skills. The expansion of systematic trading into new asset classes (crypto, commodities, credit) has created additional demand. Competition from tech companies for the same talent pool has also pushed financial firms to raise compensation.

How much do quants earn compared to software engineers?

At the junior level, compensation is similar - both quants and software engineers at top firms start around $150,000 to $250,000 in total compensation. The gap widens at the senior level. A senior quant at a top hedge fund might earn $500,000 to $1,000,000, while a senior engineer at Google or Meta typically earns $350,000 to $600,000. However, software engineering roles tend to offer more stability and a more liquid job market.

Which city pays the most for quantitative analysts?

New York pays the highest absolute salaries for quantitative analysts, followed by New York and then Hong Kong. However, when you factor in cost of living and tax, the picture shifts. Chicago offers very competitive compensation with significantly lower living costs than New York. Zurich and Singapore also offer attractive after-tax compensation. The right city depends on your personal priorities - New York has the most job opportunities, New York has a strong European market and cultural appeal, and Singapore offers low taxes and a growing quant scene.

Can a quantitative analyst earn over $475,000 million?

Yes, but it's rare and typically requires either a senior position at a top hedge fund or prop trading firm, or a quant trading role with significant P&L responsibility. Managing directors at firms like Citadel, Two Sigma, or Millennium can and do earn seven figures in strong years. It's also possible for quants who transition into portfolio management, where compensation becomes tied directly to the performance of the capital they manage. For most quants, reaching $475,000 to $475,000 total compensation within 8 to 12 years of experience is a more realistic - and still excellent - outcome.

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What You Will Learn

  • Explain how much does a quantitative analyst earn.
  • Build quantitative analyst salary by seniority level.
  • Calibrate quantitative analyst salary by firm type.
  • Compute quantitative analyst salary by location.
  • Design salary by specialization.
  • Implement top-paying firms for quantitative analysts.

Prerequisites

  • Derivatives intuition — see Derivatives intuition.
  • Options Greeks — see Options Greeks.
  • Comfort reading code and basic statistical notation.
  • Curiosity about how the topic shows up in a US trading firm.

Mental Model

Markets are auctions for risk. Every product, model, and strategy in this section is a way of pricing or transferring some piece of risk between counterparties — and US markets give you the deepest, most regulated, most algorithmic version of that auction in the world. For Quantitative Analyst Salary Breakdown, frame the topic as the piece that detailed pay by seniority, firm type, and location — NYC, Chicago, SF and more — and ask what would break if you removed it from the workflow.

Why This Matters in US Markets

US markets are the deepest, most algorithmic, most regulated capital markets in the world. The SEC, CFTC, FINRA, and Federal Reserve govern equities, options, futures, treasuries, and OTC derivatives. The big buy-side (Bridgewater, AQR, Citadel, Two Sigma, Renaissance) and the major sell-side (GS, MS, JPM, Citi, BofA) hire heavily against the material in this section.

In US markets, Quantitative Analyst Salary Breakdown tends to surface during onboarding, code review, and the first incident a junior quant gets pulled into. Questions on this material recur in interviews at Citadel, Two Sigma, Jane Street, HRT, Jump, DRW, IMC, Optiver, and the major bulge-bracket banks.

Common Mistakes

  • Quoting risk-free rates without saying which curve (T-bill, OIS, fed funds futures).
  • Treating implied volatility as a forecast instead of a market-clearing quantity.
  • Using realized correlation as a hedge ratio without accounting for regime change.
  • Treating Quantitative Analyst Salary Breakdown as a one-off topic rather than the foundation it becomes once you ship code.
  • Skipping the US-market context — copying European or Asian conventions and getting bitten by US tick sizes, settlement, or regulator expectations.
  • Optimizing for elegance instead of auditability; trading regulators care about reproducibility, not cleverness.
  • Confusing model output with reality — the tape is the source of truth, the model is a hypothesis.

Practice Questions

  1. Compute the delta of an at-the-money call on SPY with one month to expiry under Black-Scholes (σ=18%, r=5%).
  2. Why does the implied volatility surface for SPX exhibit a skew rather than a flat smile?
  3. Define the Sharpe ratio and explain why it is annualized.
  4. Why does delta-hedging a sold straddle on SPY produce P&L proportional to realized minus implied variance?
  5. What does a 100 bps move in the 10-year Treasury yield typically do to a 30-year fixed-rate mortgage rate?

Answers and Explanations

  1. Δ = N(d1) where d1 = (ln(S/K) + (r + σ²/2)T) / (σ√T). With S=K, T=1/12, σ=0.18, r=0.05: d1 ≈ (0 + (0.05 + 0.0162)·0.0833) / (0.18·0.2887) ≈ 0.106; N(0.106) ≈ 0.542. Delta ≈ 0.54.
  2. Because investors pay a premium for downside protection (left tail) and equity returns are negatively correlated with volatility; out-of-the-money puts therefore trade rich relative to OTM calls.
  3. Sharpe = (excess return) / (volatility). Annualization (multiply by √252 for daily returns) puts strategies of different frequencies on comparable footing — a key requirement for comparing US asset managers.
  4. Because the hedger captures gamma·dS² over time; integrating gives Σ gamma·(dS)², and theta paid over the life is set by implied variance. Net P&L tracks σ_realized² − σ_implied² scaled by gamma exposure.
  5. Roughly 75-100 bps move the same direction; mortgages are priced off the 10y plus a spread that includes prepayment risk and originator margin, which both move with rates.

Glossary

  • Delta — first derivative of option price with respect to underlying.
  • Gamma — second derivative; rate of change of delta.
  • Vega — sensitivity of option price to implied volatility.
  • Theta — time decay; daily P&L from holding the option as expiry approaches.
  • Implied volatility — the σ that, when plugged into Black-Scholes, recovers the market price.
  • Skew — variation of implied volatility across strikes.
  • Spread — the difference between two prices; a yield curve, an option spread, or a cross-instrument arb.
  • Sharpe ratio — annualized excess return divided by annualized volatility; the standard performance metric in US asset management.

Further Study Path

Key Learning Outcomes

  • Explain how much does a quantitative analyst earn.
  • Apply quantitative analyst salary by seniority level.
  • Recognize quantitative analyst salary by firm type.
  • Describe quantitative analyst salary by location.
  • Walk through salary by specialization.
  • Identify top-paying firms for quantitative analysts.
  • Articulate bonus structure and total compensation.
  • Trace salary as it applies to quantitative analyst salary breakdown.
  • Map careers as it applies to quantitative analyst salary breakdown.
  • Pinpoint how quantitative analyst salary breakdown surfaces at Citadel, Two Sigma, Jane Street, or HRT.
  • Explain the US regulatory framing — SEC, CFTC, FINRA — relevant to quantitative analyst salary breakdown.
  • Apply a single-paragraph elevator pitch for quantitative analyst salary breakdown suitable for an interviewer.
  • Recognize one common production failure mode of the techniques in quantitative analyst salary breakdown.
  • Describe when quantitative analyst salary breakdown is the wrong tool and what to use instead.
  • Walk through how quantitative analyst salary breakdown interacts with the order management and risk gates in a US trading stack.
  • Identify a back-of-the-envelope sanity check that proves your implementation of quantitative analyst salary breakdown is roughly right.
  • Articulate which US firms publicly hire against the skills covered in quantitative analyst salary breakdown.
  • Trace a follow-up topic from this knowledge base that deepens quantitative analyst salary breakdown.
  • Map how quantitative analyst salary breakdown would appear on a phone screen or onsite interview at a US quant shop.
  • Pinpoint the day-one mistake a junior would make on quantitative analyst salary breakdown and the senior's fix.