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Internal consistency of risk free rate and MRP in the CAPM

Internal consistency of risk free rate and MRP in the CAPM

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5. Why required returns on <strong>risk</strong>ier assets are not fall<strong>in</strong>g <strong>in</strong><br />

l<strong>in</strong>e with CGS yields<br />

78. The previous section provided an empirical description <strong>of</strong> <strong>the</strong> fact that required returns<br />

on o<strong>the</strong>r assets have not been fall<strong>in</strong>g with <strong>the</strong> most recent fall <strong>in</strong> CGS yields – such<br />

that <strong>risk</strong> premiums (spreads) have been ris<strong>in</strong>g. Section 5.1 below section expla<strong>in</strong>s<br />

why this has been happen<strong>in</strong>g <strong>in</strong>clud<strong>in</strong>g by reference to <strong>the</strong> views <strong>of</strong> o<strong>the</strong>r experts such<br />

as <strong>the</strong> RBA. Section 5.2 <strong>of</strong> this report also canvasses <strong>the</strong> RBA’s views on <strong>the</strong> extent<br />

to which a ‘scarcity premium’ or ‘liquidity premium’ is currently depress<strong>in</strong>g <strong>the</strong> yield for<br />

CGS <strong>and</strong> <strong>the</strong> likely implications for future levels <strong>of</strong> CGS yields.<br />

5.1. Flight from <strong>risk</strong>y to safe assets<br />

79. The <strong>CAPM</strong>, or, more precisely, <strong>the</strong> Sharpe-L<strong>in</strong>tner version <strong>of</strong> <strong>the</strong> <strong>CAPM</strong>, predicts that<br />

<strong>the</strong> expected yield on any asset will be determ<strong>in</strong>ed by <strong>the</strong> follow<strong>in</strong>g formula:<br />

Competition Economists Group<br />

www.CEG-AP.COM<br />

( )<br />

80. This formula describes an <strong>in</strong>vestor’s required return on any asset – be that asset debt,<br />

equity or any o<strong>the</strong>r asset. The asset’s beta (βi) is a measure <strong>of</strong> <strong>the</strong> <strong>risk</strong> <strong>of</strong> that asset<br />

relative to <strong>the</strong> <strong>risk</strong><strong>in</strong>ess <strong>of</strong> <strong>the</strong> market portfolio. The <strong>MRP</strong> describes <strong>in</strong>vestors’ required<br />

compensation for <strong>the</strong> <strong>risk</strong> associated with hold<strong>in</strong>g <strong>the</strong> market portfolio.<br />

81. Investors’ required compensation for <strong>the</strong> <strong>risk</strong> associated with any <strong>in</strong>dividual asset can<br />

<strong>in</strong>crease for one or both <strong>of</strong> two reasons:<br />

� <strong>the</strong> asset’s beta can <strong>in</strong>crease (i.e. <strong>the</strong> asset’s <strong>risk</strong> relative to all o<strong>the</strong>r <strong>risk</strong>y assets<br />

can <strong>in</strong>crease); or<br />

� <strong>the</strong> market <strong>risk</strong> premium can <strong>in</strong>crease.<br />

82. It is AER’s practice to implement <strong>the</strong> <strong>CAPM</strong> formula above assum<strong>in</strong>g that <strong>the</strong> <strong>risk</strong> <strong>free</strong><br />

<strong>rate</strong> is best proxied by <strong>the</strong> prevail<strong>in</strong>g yield on 10 year CGS. Given this practice,<br />

<strong>in</strong>ternal <strong>consistency</strong> requires that <strong>the</strong> <strong>MRP</strong> be measured relative to <strong>the</strong> prevail<strong>in</strong>g yield<br />

on CGS.<br />

83. However, <strong>the</strong> factual analysis <strong>of</strong> <strong>the</strong> previous section demonst<strong>rate</strong>s that <strong>the</strong> dramatic<br />

fall <strong>in</strong> 10 year CGS yields <strong>in</strong> late 2011 was not associated with similarly dramatic<br />

reductions <strong>in</strong> required yields on o<strong>the</strong>r assets – be those assets relatively low <strong>risk</strong> debt<br />

or <strong>the</strong> relatively high <strong>risk</strong> listed equity market.<br />

84. The only <strong>in</strong>ternally consistent explanation for this evidence is that <strong>the</strong>re has been an<br />

across <strong>the</strong> board <strong>in</strong>crease <strong>in</strong> <strong>the</strong> <strong>risk</strong> premiums (measured relative to 10 year CGS<br />

yields) that <strong>in</strong>vestors require. This need not be because <strong>in</strong>vestors are dem<strong>and</strong><strong>in</strong>g a<br />

20

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