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Internal consistency of risk free rate and MRP in the CAPM

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Figure 4: Spread between AAA corpo<strong>rate</strong> bonds <strong>and</strong> CGS at 4 years (<strong>the</strong> longest<br />

maturity for <strong>the</strong> Bloomberg AAA curve)<br />

Source: Bloomberg, CEG analysis<br />

4.2. Risk premiums on high <strong>risk</strong> bonds<br />

56. It is common practice to use spreads between low <strong>risk</strong> assets <strong>and</strong> BBB <strong>rate</strong>d bonds as<br />

a proxy for <strong>the</strong> level <strong>of</strong> <strong>in</strong>vestor <strong>risk</strong> aversion. Jagannathan <strong>and</strong> Wang (1996) 11 use <strong>the</strong><br />

difference between <strong>the</strong> yield to maturity on short term BBB <strong>rate</strong>d bonds <strong>and</strong> short term<br />

AAA <strong>rate</strong>d bonds as a proxy for <strong>the</strong> level <strong>of</strong> <strong>risk</strong> aversion. They describe this approach<br />

as be<strong>in</strong>g used extensively <strong>in</strong> f<strong>in</strong>ance:<br />

Based on <strong>the</strong>se f<strong>in</strong>d<strong>in</strong>gs, I choose <strong>the</strong> yield spread between BAA <strong>and</strong> AAA <strong>rate</strong>d<br />

bonds, denoted by as a proxy for <strong>the</strong> market <strong>risk</strong> premium. The variable<br />

… has been used extensively <strong>in</strong> f<strong>in</strong>ance.<br />

57. The quote above refers to Moody’s credit rat<strong>in</strong>gs. The equivalent St<strong>and</strong>ard <strong>and</strong> Poor’s<br />

credit rat<strong>in</strong>gs are AAA <strong>and</strong> BBB. When I exam<strong>in</strong>e <strong>the</strong> same measure <strong>in</strong> Australia<br />

us<strong>in</strong>g <strong>the</strong> longest history <strong>of</strong> fair value estimates available from Bloomberg we observe<br />

<strong>the</strong> follow<strong>in</strong>g history for <strong>the</strong> spread between St<strong>and</strong>ard <strong>and</strong> Poor’s AAA <strong>and</strong> BBB <strong>rate</strong>d<br />

11 Ravi Jagannathan <strong>and</strong> Zhenyu Wang, The Conditional <strong>CAPM</strong> <strong>and</strong> <strong>the</strong> Cross-Section <strong>of</strong> Expected Returns The Journal <strong>of</strong><br />

F<strong>in</strong>ance, Vol. 51, No. 1. (Mar., 1996), pp. 3-53.<br />

Competition Economists Group<br />

www.CEG-AP.COM<br />

12

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