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CFA Level 1 Exam · 12 min read Updated

CFA Level I Fixed Income Cheat Sheet (2026): Key Formulas, Rules, and Mnemonics

Rob Pfleghardt

10-year Price Waterhouse alumnus · Founder of VoraPrep · Former CPA (1987–2024) · with the VoraPrep Editorial Team

CFA Level I Fixed Income Cheat Sheet (2026): Key Formulas, Rules, and Mnemonics
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Key Takeaways

  • For callable bonds, the exam tests your ability to identify the yield to worst (YTW), which is the lower of the yield to maturity or yield to call.
  • A bond's quoted price (clean price) is not its settlement price; you must add accrued interest to find the full price, a frequent calculation trap.
  • Modified duration is the key measure for price sensitivity, while negative convexity is a critical risk for callable bonds when interest rates fall.
  • Credit analysis goes beyond ratings; questions will test your knowledge of seniority rankings and the difference between probability of default and loss given default.
  • Interest rate risk is highest for bonds with longer maturities and lower coupon rates, a relationship you must know instantly.
  • VoraPrep's blueprint-aligned CFA1 course pairs interactive conceptual lessons with adaptive practice questions, option-by-option distractor rationales, and a 1:1 test-center simulator.

Fixed Income accounts for 10-12% of your CFA Level I exam, but it causes a disproportionate number of failures. The reason qualified candidates fail isn't complex calculus; it's misinterpreting a single bond feature, like a call option, and calculating a yield that looks right but is fundamentally wrong. Mastering the judgment call of which yield or price to use is the difference between passing and failing this section.

Quick answer

To pass CFA Level I Fixed Income, you must master bond valuation (full vs. clean price), risk measurement (duration and convexity), and yield calculations, especially the concept of yield to worst (YTW) for bonds with embedded options. The exam prioritizes applying these frameworks correctly over simple formula memorization.

Key facts

Topic Weighting
10-12% of the CFA Level I exam.
Key Concepts
Bond Valuation, Yield Measures (YTM, YTC, YTW), Duration, Convexity, Credit Risk.
Common Traps
Confusing clean vs. full price, ignoring embedded options, misapplying duration.
Official Body
CFA Institute.
Recommended Study
~35-40 hours of focused study within the 300+ hour total for Level I.
VoraPrep Practice
Access over 2,500 CFA Level I questions, including hundreds for Fixed Income.

The CFA Institute reports that the Level I pass rate was 37% for the most recent testing window (CFA Institute), underscoring the need for precision in high-weight topics like Fixed Income.

What Are the Most-Tested Fixed Income Concepts?

The Fixed Income curriculum is broad, but the exam consistently focuses on a few core areas where candidates are most likely to make mistakes. Your study plan should prioritize these concepts.

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Bond Types and Features

You must be able to differentiate between major bond types, as their features dictate how you value them and assess their risk. Expect to see questions involving:
  • Government and Agency Bonds: Sovereign debt (e.g., U.S. Treasuries) and quasi-government debt.
  • Corporate Bonds: Issued by companies, featuring various covenant structures and credit risk levels.
  • Zero-Coupon Bonds: Pay no coupons and are issued at a deep discount to par value. Their only cash flow is the face value at maturity.
  • Floating-Rate Notes (FRNs): Coupon payments reset periodically based on a reference rate (like SOFR).
  • Bonds with Embedded Options: Callable bonds (issuer can redeem early) and putable bonds (investor can sell back early) are heavily tested.

Yield Curve Theories

The yield curve shows the relationship between interest rates and time to maturity. You need to understand the three main theories explaining its shape:
  1. Pure Expectations Theory: Forward rates are solely a function of expected future short-term rates. An upward-sloping curve means the market expects rates to rise.
  2. Liquidity Preference Theory: Investors demand a liquidity premium for holding longer-term bonds. This implies the yield curve will typically slope upward even if rates are expected to be flat.
  3. Market Segmentation Theory: The supply and demand for bonds within different maturity ranges determine yields. A bank seeking short-term assets and a pension fund seeking long-term assets operate in different segments.

What Are the Must-Know Fixed Income Formulas?

These formulas are the engine of Fixed Income analysis. While your financial calculator is a critical tool, you must understand the components of each formula to select the right inputs. Try VoraPrep's free CFA practice questions to drill these calculations.

Bond Valuation (Price)

A bond's price is the present value of its future cash flows (coupons and principal), discounted at the market rate.
Formula: Bond Price = Σ [Coupon ÷ (1 + r)ⁿ] + [Face Value ÷ (1 + r)ᴺ] Where:
  • r = Market discount rate per period
  • n = Number of periods to each coupon payment
  • N = Total number of periods to maturity

Modified Duration

Modified duration estimates the percentage price change of a bond for a 100 basis point (1%) change in its yield. It is the most practical measure of interest rate sensitivity on the exam.
Formula: Modified Duration = Macaulay Duration ÷ (1 + (YTM / k)) Where:
  • Macaulay Duration = Weighted-average time to receive cash flows (in years).
  • YTM = Annual yield to maturity.
  • k = Number of coupon payments per year.

Approximate Percentage Price Change

This formula provides a more accurate estimate of a bond's price change by incorporating convexity, which accounts for the curvature of the price-yield relationship.
Formula: %ΔPrice ≈ (−ModDur × ΔYield) + [0.5 × Convexity × (ΔYield)²]
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How Do You Calculate a Bond's Full Price vs. Clean Price?

This is one of the most common calculation traps on the Level I exam. The price you see quoted is almost never the price you actually pay.

The clean price is the quoted price of a bond, which excludes any accrued interest.

The full price (or dirty price) is what a buyer actually pays to acquire the bond. It is the clean price plus interest that has accrued since the last coupon payment date.

Step 1: Calculate Accrued Interest (AI)

Accrued interest is the proportional share of the next coupon payment that belongs to the seller.
Formula: AI = (Days since last coupon / Days in coupon period) × Coupon Payment

Step 2: Calculate the Full Price

Simply add the accrued interest to the clean price.
Tip: The exam will try to trick you by providing a quoted (clean) price and asking for the total settlement value. Always remember to calculate and add the accrued interest unless the settlement date falls exactly on a coupon payment date.

What Are the Most Common Fixed Income Traps?

The examiner knows exactly where candidates get confused. These three traps are responsible for countless lost points.

Trap 1: Confusing YTM, YTC, and Yield to Worst (YTW)

This is the single biggest judgment trap in Fixed Income. Candidates calculate the yield to maturity (YTM) for a callable bond without considering the issuer's incentive to call it.

The yield to worst (YTW) is the lowest possible yield an investor can receive on a callable bond without the issuer defaulting. You must calculate both the YTM and the yield to call (YTC) and identify the lower of the two.

Yield MeasureWhen It's RelevantThe Exam Trap
YTMFor non-callable ("straight") bonds, or for callable bonds trading at a discount.Applying it blindly to a callable bond trading at a premium.
YTCFor callable bonds trading at a premium, where rates have fallen below the coupon rate.Ignoring it when a bond is likely to be called.
YTWThe correct yield to quote for any callable bond. It is the lower of YTM and YTC.Calculating YTM and stopping, selecting a distractor answer.

Trap 2: Ignoring Negative Convexity

While most bonds have positive convexity (good for investors), a callable bond can exhibit negative convexity.

When interest rates fall significantly, the price of a straight bond continues to rise. However, the price of a callable bond is "capped" because the market knows the issuer will likely call the bond at the call price. This price compression means the bond's price appreciation slows down and can even fall as yields continue to drop. The exam will test this concept qualitatively.

Trap 3: The Semi-Annual Calculation Error

This is a mechanical error, but it's incredibly common under time pressure. When a bond pays semi-annual coupons:
  • N (Number of periods) must be years × 2.
  • I/Y (Yield) must be the annual yield ÷ 2.
  • PMT (Coupon payment) must be the annual coupon ÷ 2.

Forgetting even one of these adjustments will lead you directly to a wrong answer choice.

Worked example:

An analyst is evaluating a 7% annual coupon bond with a $1,000 face value and 5 years to maturity. The bond is callable in 3 years at $1,020. The bond is currently trading at $1,050. The yield to maturity (YTM) is 5.85%.

What is the bond's yield to worst (YTW)?

Step 1: Identify the trap. The bond is callable and trading at a premium ($1,050 > $1,000). This is a huge red flag. You cannot just accept the YTM of 5.85%. You MUST calculate the yield to call (YTC). Step 2: Calculate the Yield to Call (YTC). Use your financial calculator with the following inputs, solving for the yield:
  • N = 3 (The bond is callable in 3 years)
  • PV = -1050 (The current price, entered as a negative)
  • PMT = 70 (0.07 × $1,000 annual coupon)
  • FV = 1020 (The call price, NOT the par value)

Solving for I/Y gives you a YTC of 5.39%.

Step 3: Determine the Yield to Worst (YTW). Compare the YTM and the YTC.
  • YTM = 5.85%
  • YTC = 5.39%

The YTW is the lower of the two, which is 5.39%.

Exam trap: The most tempting wrong answer is 5.85%. Candidates see "YTM is 5.85%" in the prompt and assume it's the answer or part of the final calculation. They fail the judgment test. The correct move is to recognize the premium price on a callable bond requires you to calculate YTC and find the YTW.

What Are the Best Mnemonics and Memory Aids?

Mnemonics are great for rules and relationships. For Fixed Income, focus on the drivers of interest rate risk.

A simple rule for duration is the "Double L" Rule:

  • Longer maturity = Higher duration (more sensitive to rate changes).
  • Lower coupon = Higher duration (more of the bond's value is tied to the final principal payment far in the future).

A bond with a 30-year maturity and a 2% coupon will have dramatically higher interest rate risk than a bond with a 5-year maturity and a 6% coupon. Use this to quickly eliminate answer choices in qualitative questions. For a deeper dive into the full curriculum, see this comprehensive breakdown of the full CFA Level I curriculum.

How to Use This Cheat Sheet in Your Study Routine

This guide is a tool for active recall and targeted practice, not passive reading.

First, use it as a final review before starting a block of practice questions from VoraPrep's adaptive CFA Level I question bank. A five-minute scan of the formulas and traps will prime your brain.

Second, after you complete a quiz, use this sheet to diagnose your errors. If you missed a question on a callable bond, come back to the YTW section. Did you fall for the trap? Re-read the logic and try another similar problem. VoraPrep's adaptive engine and detailed explanations will help you pinpoint these weak areas automatically.

Finally, turn the key concepts into flashcards. Don't just write the formula. Create a two-sided card: one side with "When is YTC more relevant than YTM?" and the other with "When a callable bond trades at a premium." This forces you to recall the application, which is what the exam tests.


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CFA Level 1: Ethical and Professional Standards (Standard II(A))

Under the CFA Institute Code of Ethics and Standards of Professional Conduct (Standard II(A): Material Nonpublic Information), an equity analyst who pieces together nonpublic, immaterial observations from store visits with public industry data to reach an investment conclusion has:

Frequently asked questions

What is the most important Fixed Income topic for CFA Level I?

Bond valuation and risk are the most important topics. This includes calculating bond prices, understanding the price-yield relationship, and measuring interest rate risk using duration and convexity, especially for bonds with embedded options.

How do I pass CFA Level I Fixed Income?

Focus on application, not just memorization. Use a financial calculator proficiently, master the adjustments for semi-annual coupons, and always check for embedded options (like calls) that affect yield calculations. Consistent practice with exam-level questions is critical.

What is yield to worst (YTW)?

Yield to worst is the lowest potential yield an investor can earn on a callable bond, assuming the issuer does not default. It is found by calculating both the yield to maturity (YTM) and all yield to call (YTC) values and selecting the lowest of the results.

What is the difference between Macaulay and Modified Duration?

Macaulay duration is the weighted-average time (in years) to receive a bond's cash flows. Modified duration is a more practical measure derived from it that estimates the percentage price change of a bond for a 1% change in yield, directly quantifying its interest rate risk.

Where can I find more CFA Level I Fixed Income questions?

VoraPrep offers a complete 6-pillar course with over 2,500 practice questions, including hundreds focused specifically on Fixed Income. You can also test your skills with a free CFA Level I exam simulator to gauge your readiness.

,499, 2,400+ MCQs, 80 lessons) vs.

Official resources and references


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About the Author: Rob Pfleghardt

Rob Pfleghardt is the founder of VoraPrep, a comprehensive exam prep platform across 30 professional licensure and certification exams in Accounting & Tax (CPA, EA, CMA, CFE, CPP, CGFM), Securities & Wealth (CFP, SIE, FINRA Series, CFA, FRM), Audit & Cyber (CISA, CIA, CRISC, CISM, CISSP, CCSP, Security+, CIPP/US), HR Leadership (SHRM-CP, PHR), and Federal Regulatory (CBLE). A Virginia Tech graduate in Accounting and Finance, Rob began his career at Price Waterhouse, spending a decade in audit and IT consulting. After holding a CPA license for 37 years (1987–2024) and scaling his own enterprise IT consultancy serving commercial and federal clients, Rob launched VoraPrep to build adaptive training technology and blueprint-aligned curriculum for working professionals.

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