NISM Professor

Credit spread

Also written Yield spread · Credit spreads · Spread over gilt

The extra yield a non-government borrower must pay over a government security of the same tenor — the market price of credit risk, quoted as an add-on over the risk-free rate.

In plain language

A sovereign borrowing in its own currency cannot be forced to default; it can print the money. So the rate it pays is called the risk-free rate, and the yield on a gilt is the lowest available for any given tenor.

Everybody else can default. So everybody else pays more, and the difference is the credit spread. The workbook defines it twice, from two directions, and they mean the same thing: the difference between the yield on a gilt and the yield on a non-government debt security of the same tenor, and the add-on over the risk-free rate that a borrower is charged for its credit rating.

It is quoted as a spread rather than a rate for a practical reason: the risk-free curve moves for everyone at once, and the spread is the part that belongs to this particular borrower.

How it works

Spreads are grouped by credit rating and vary by tenor, so a borrower faces not a spread but a curve of them. The workbook's hypothetical table:

TermRisk-free rateAAAABBB
1 month5.00%0.15%0.25%0.35%
3 months5.25%0.25%0.50%0.75%
1 year5.75%0.40%0.75%1.10%
5 years6.50%0.85%1.50%2.25%

Read down a column and the spread widens with tenor — the longer you lend, the more can go wrong. Read across a row and it widens with poorer rating. Plot any row set against the terms and you have a "risk-free curve", an "AAA curve", a "BBB curve".

For a debt fund, spreads are a second source of return alongside interest rates. The workbook is explicit that returns in a debt portfolio are driven by both. A security whose rating is upgraded is re-priced at a lower spread, and the market will now accept a lower credit spread, so the value of the security rises. A fund manager who anticipates that upgrade captures the gain; if the re-rating does not come, the portfolio is left holding the default risk instead.

Spread widening is also what a credit-event looks like in prices — a default, a delay, or a downgrade, any of which reprices the paper downwards.

The formula

Credit spread = Yield on corporate bond − Yield on gilt of the same tenor

Borrowing rate = Risk-free rate + Credit spread

Approximate price impact of a spread change:
  % change in price ≈ − Modified duration × Change in spread

A worked example

The risk-free rate is 8.25%. The workbook's spreads: 0.10% for AAA, 0.25% for AA.

AAA borrower pays = 8.25 + 0.10 = 8.35%
AA  borrower pays = 8.25 + 0.25 = 8.50%

On a Rs 10 crore issue, that 15 basis points is Rs 1.5 lakh a year — the whole of it the price of one rating notch.

Now take the five-year row from the term table. A debt scheme holds Rs 10 crore face value of five-year paper:

RatingYieldAnnual coupon on Rs 10 crore
Gilt6.50%Rs 65.0 lakh
AAA6.50 + 0.85 = 7.35%Rs 73.5 lakh
A6.50 + 1.50 = 8.00%Rs 80.0 lakh
BBB6.50 + 2.25 = 8.75%Rs 87.5 lakh

Rs 22.5 lakh a year separates the gilt from the BBB paper on an identical maturity. That gap is not free money; it is the market's estimate of what it costs to be wrong about the borrower.

And the capital gain. Suppose the A-rated paper is upgraded to AAA. The spread falls from 1.50% to 0.85% — a tightening of 65 basis points. At a modified duration of about 4.2:

Price change ≈ 4.2 × 0.65% = 2.73%
On Rs 10 crore            = Rs 27.3 lakh

Rs 27.3 lakh in a single re-rating, against a Rs 6.5 lakh annual yield advantage the position was earning. That is why the workbook treats anticipating rating changes as a distinct portfolio strategy — and notes in the same breath that if the re-rating does not materialise, the fund is simply carrying more default risk.

Why NISM asks about it

Chapter 18.5 defines the credit spread against the risk-free rate and supplies the 8.25%/0.10%/0.25% illustration; Chapter 18.6 gives the term-structure table of spreads by rating; Chapter 10 treats credit spreads as one of the two drivers of debt fund returns and covers the re-rating gain. Expect a computation of a borrowing rate from a spread, and a conceptual question on what happens to a bond's price when its rating improves.

Common exam traps

  • A spread is measured against a gilt of the same tenor. Comparing a five-year corporate with a one-year gilt is not a credit spread.
  • Spreads widen with tenor as well as with poorer rating. The workbook's table moves in both directions.
  • A rating upgrade narrows the spread and raises the price. The inverse yield-price relation catches candidates who reason from the yield alone.
  • Credit spread risk and interest rate risk are separate. The gilt curve can fall while spreads widen, and the bond still loses.
  • The risk-free rate is free of credit risk, not of all risk. Market risk and reinvestment risk survive; only a zero-coupon sovereign held to maturity is free of all three.
  • Do not confuse it with the option strategy called a credit spread, which is a two-leg option position and has nothing to do with credit at all.

Where this is taught

Free preparation for NISM Series X-A

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