Compare, Calculate, and Interpret Yield Spread Measures - AnalystPrep | CFA® Exam Study Notes (2024)

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Compare, Calculate, and Interpret Yield Spread Measures - AnalystPrep | CFA® Exam Study Notes (2)

fixed-income

06 Sep 2019

Yield spread (measured in basis points) is the difference between any two bond issues and is computed as follows:

Yield spread = Yield on Bond 1 – Yield on Bond 2

When the second bond is a benchmark (i.e. Treasury), the yield spread is referred to as the absolute yield spread.

What Causes Spread?

Spread can be attributed to macroeconomic factors affecting the bond issuer as well as the bond itself. These include factors such as credit risk, liquidity, and taxation. The benchmark (risk-free rate) considers the expected rate of inflation, exchange rates, the impact of fiscal/monetary policies, and general economic growth.

Compare, Calculate, and Interpret Yield Spread Measures - AnalystPrep | CFA® Exam Study Notes (3)

Types of Spread

G-spread

G-spread (nominal spread) is the difference between the yield on Treasury Bonds and the yield on corporate bonds of the same maturity.

G-spread = Yc – Yg

Where:

Yc = yield on the non-treasury bond; and

Yg = yield on the government bond of the same maturity.

I-spread

The I-spread stands for interpolated spread. It represents the difference between the yield on a bond and the swap rate (the interest rate applicable to the fixed leg in the floating-for-fixed interest rate swap, say, LIBOR). A higher I-spread means that a bond has a higher credit risk.

Z-spread

The zero-volatility spread (Z-spread) is the constant spread that makes the price of a security equal to the present value of its cash flows when added to the yield at each point on thespot rate Treasury curve. It is the spread that must be added to each spot interest rate to equate the present value of the bond cash flows to thebond’s price.

Z-spread can be calculated using the following equation:

$$P=\frac { { CF }{ 1 } }{ { \left( 1+{ s }{ 1 }+Z \right) }^{ 1 } }+\frac { { CF }_{ 2 } }{ { \left( 1+{ s }_{ 2 }+Z \right) }^{ 2 } } +…+\frac { { CF }_{ n } }{ { \left( 1+{ s }_{ n }+Z \right) }^{ n } } $$

Where:

P is the price of the bond;

CF1, CF2,and CFnare the first, second and nth cash flows;

Si is the ith spot interest rate;and

Z is the zero-volatility spread.

Option-Adjusted Spread (OAS)

Option-adjusted spread equals zero-volatility spread minus the value of a call option, stated in basis points. It is appropriate when measuring the yield for callable bonds.

OAS = Z-spread – Option value

Question

A 10% annual coupon corporate bond maturing in two years is trading at a price of 100.750. The two-year, 8% annual payment government benchmark bond is trading at a price of 100.950. The one-year and two-year government spot rates are 2.4% and 3.5%, respectively, stated as effective annual rates.

The G-spread is closest to:

  1. 190 bps
  2. 200 bps
  3. 210 bps

Solution

The correct answer is C.

The yield-to-maturity for the corporate bond is 9.57%.

$$100.75=\frac { 10 }{ \left( 1+r \right) } +\frac { 110 }{ { \left( 1+r \right) }^{ 2 } } , \quad r=0.0957$$

The yield-to-maturity for the benchmark bond is 7.47%.

$$100.95=\frac { 8 }{ \left( 1+r \right) } +\frac { 108 }{ { \left( 1+r \right) }^{ 2 } } , \quad r=0.0747$$

The G-spread is 210 bps: 0.0957 – 0.0747 = 0.021

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    2021-07-23

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    Compare, Calculate, and Interpret Yield Spread Measures - AnalystPrep | CFA® Exam Study Notes (2024)

    FAQs

    What is yield spread measures and compare? ›

    A yield spread is a difference between the quoted rate of return on different debt instruments which often have varying maturities, credit ratings, and risk. The spread is straightforward to calculate since you subtract the yield of one from that of the other in terms of percentage or basis points.

    How to calculate and interpret yield measures for money market instruments? ›

    Money market yield is calculated by taking the holding period yield and multiplying it by a 360-day bank year divided by days to maturity. It can also be calculated using a bank discount yield.

    How do you calculate yield spread? ›

    The calculation for a yield spread is essentially the same as for a bid-ask spread – simply subtract one yield from the other. For example, if the market rate for a five-year CD is 5% and the rate for a one-year CD is 2%, the spread is the difference between them, or 3%.

    What is the difference between Z-spread and Gspread? ›

    A G-spread or an I-spread can be based on a specific benchmark rate or on a rate interpolated from the benchmark yield curve. A Z-spread (zero-volatility spread) is based on the entire benchmark spot curve.

    What does the yield spread tell us? ›

    In finance, the yield spread or credit spread is the difference between the quoted rates of return on two different investments, usually of different credit qualities but similar maturities. It is often an indication of the risk premium for one investment product over another.

    What is the relationship between yield and spread? ›

    The yield spread is the difference in yield between a bond yield and the risk-free rate (a notional rate offered by an investment with the lowest level of risk), or between two comparable assets. The spread is equivalent to the risk differential between each investment.

    What is the formula for calculating yield? ›

    Percent Yield Equation

    To find the yield percent we use the equation: percent yield = actual yield/theoretical yield x 100.

    Why do we calculate spread? ›

    In the realm of finance and investment, the term "spread" holds significant importance. It denotes the disparity between two prices, rates, or yields. Essentially, it's a measure of the gap between the buying and selling price of an asset or the variance in yields of two distinct financial instruments.

    How do you calculate spread? ›

    You do this by subtracting the bid price from the ask price. For example, if you're trading GBP/USD at 1.3089/1.3091, the spread is calculated as 1.3091 – 1.3089, which is 0.0002 (2 pips). Spreads can either be wide (high) or tight (low) – the more pips derived from the above calculation, the wider the spread.

    How to interpret Z-spread? ›

    If a bond's Z-spread increases, and nothing else changes, then the bond's yield also increases, and the price decreases. Conversely, if a bond's Z-spread decreases, this the yield also decreases, and the price increases.

    What is the difference between Z-spread and ZV spread? ›

    Key Takeaways. The zero-volatility spread of a bond tells the investor the bond's current value plus its cash flows at certain points on the Treasury curve where cash-flow is received. The Z-spread is also called the static spread. The spread is used by analysts and investors to discover discrepancies in a bond's price ...

    What is the difference between yield spread and G-spread? ›

    The G-spread is the yield spread in basis points over an interpolated government bond. The spread is higher for bearing higher credit, liquidity, and other risks relative to the government bond. The I-spread is the yield spread of a specific bond over the standard swap rate in that currency of the same tenor.

    Is higher yield spread better? ›

    Higher spreads indicate a higher default risk in junk bonds and can be a reflection of the overall corporate economy (and therefore credit quality) and/or a broader weakening of macroeconomic conditions.

    What does 10 2 yield spread mean? ›

    The 10-2 Treasury Yield Spread is the difference between the 10 year treasury rate and the 2 year treasury rate. A 10-2 treasury spread that approaches 0 signifies a "flattening" yield curve. A negative 10-2 yield spread has historically been viewed as a precursor to a recessionary period.

    What do measures of spread tell us? ›

    Measures of spread describe how similar or varied the set of observed values are for a particular variable (data item). Measures of spread include the range, quartiles and the interquartile range, variance and standard deviation.

    What is the difference between measures of spread and measures of dispersion? ›

    Introduction. A measure of spread, sometimes also called a measure of dispersion, is used to describe the variability in a sample or population. It is usually used in conjunction with a measure of central tendency, such as the mean or median, to provide an overall description of a set of data.

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