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D2

Rating Migration

See how credit ratings drift over time and what it does to value: project ratings over several years from a one-year transition matrix, reprice the bond at each end rating, and find the expected return after upgrades, downgrades and defaults.

Learning focus: fallen angels, and why a BBB portfolio's biggest risk is a downgrade, not a default.

Bond
y
y
%
%
Spread by rating
bp
bp
bp
bp
bp
bp
bp

Illustrative spreads, held constant: a bond that moves to another rating is repriced at that rating's spread.

Expected return, a year
4.77%
Promised return, a year
5.20%
Excess over Treasuries, a year
77 bp
promised 120 bp
Migration effect, a year
−33 bp
Default losses, a year
−10 bp
Fallen angel by year 1
4.83%
upgraded 3.82%
Default by year 1
0.15%
What the return is made of, a year
Promised coupon
520 bp
Migration effect
−33 bp
Default losses
−10 bp
Expected return
477 bp

Rating changes move the return more than defaults do: downgrades cost 33 bp a year net of upgrades, against 10 bp lost to defaults.

Where a BBB bond ends up after 1 year
RatingProbabilitySpreadPriceReturnEffect on expected
AAA0.02%35 bp106.2211.42%0 bp
AA0.10%50 bp105.0910.29%1 bp
A3.70%80 bp102.878.07%11 bp
BBB91.20%120 bp100.005.20%0 bp
BB4.00%220 bp93.26−1.54%−27 bp
B0.60%350 bp85.33−9.47%−9 bp
CCC0.23%850 bp61.83−32.97%−9 bp
D0.15%—40.00−60.00%−10 bp

Per 100 face. Return is over the whole horizon: coupons received plus the price at the end. A defaulted bond recovers 40% of face and keeps the coupons paid before default. The last column is probability × (return − promised); it adds up to the gap between expected and promised.

Probability of leaving the rating
Transition matrix
From \ toAAAAAABBBBBBCCCD
AAA
AA
A
BBB
BB
B
CCC
D0000000100

Percent, each row adding up to 100. The sample is illustrative, rounded from the shape of the agencies' long-run average studies; type in the matrix from a specific S&P or Moody's study to use it instead. Default is absorbing.