Risk Management and Value Creation in ... - Arabictrader.com
Risk Management and Value Creation in ... - Arabictrader.com
Risk Management and Value Creation in ... - Arabictrader.com
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Capital Structure <strong>in</strong> Banks 161<br />
difficult for risk capital. On the one h<strong>and</strong>, the value of (book) equity (determ<strong>in</strong>ed<br />
as residual) is usually not equal to the bank’s risk capital (which is<br />
determ<strong>in</strong>ed by the risk<strong>in</strong>ess of the net assets of the bank). The true economic<br />
values of debt <strong>and</strong> equity are determ<strong>in</strong>ed by nett<strong>in</strong>g the asset <strong>in</strong>surance aga<strong>in</strong>st<br />
the provision of risk-free cash capital <strong>and</strong> risk capital. However, s<strong>in</strong>ce most<br />
of the <strong>in</strong>surance is provided implicitly, it does not appear on the balance<br />
sheet. On the other h<strong>and</strong>, one is tempted to assume that risk capital borne<br />
by the shareholders is closely aligned with some market-based metric. 128<br />
However, as Merton <strong>and</strong> Perold show, 129 when they determ<strong>in</strong>e the (market)<br />
value of the equity by treat<strong>in</strong>g it as a put option on the firm, the value of<br />
the equity can be larger than what is required as <strong>in</strong>surance contribution (risk<br />
capital from shareholders). This is due to the fact that the other stakeholders<br />
also bear some of the total risk.<br />
Ideally, the economic capital requirement should also be <strong>com</strong>pared to<br />
an economic measure of capital that corresponds to the <strong>in</strong>tr<strong>in</strong>sic value of the<br />
bank. 130 As discussed previously <strong>in</strong> the regulatory context, there is no good<br />
approximation for such an actual capital amount because of the lack of data<br />
needed to arrive at such a figure. However, s<strong>in</strong>ce the use of economic capital<br />
represents a very similar view to the regulatory one—while be<strong>in</strong>g more<br />
accurate—we could use an approximation of <strong>in</strong>tr<strong>in</strong>sic value based on book<br />
capital as the reference for determ<strong>in</strong><strong>in</strong>g capital adequacy. 131 If we take the<br />
regulatory def<strong>in</strong>ition of Tier-1 <strong>and</strong> Tier-2 capital <strong>and</strong> replace general loanloss<br />
reserves with the <strong>in</strong>surance pool held for expected losses 132 <strong>and</strong> subtract<br />
subord<strong>in</strong>ated debt, we can derive such a proxy for actually available equity.<br />
133 But, despite the difficulties with that benchmark already discussed<br />
<strong>in</strong> the regulatory view, we would still have to add the more difficult to observe<br />
junior debt holders tranche to this amount <strong>in</strong> order to arrive at a <strong>com</strong>pletely<br />
<strong>com</strong>parable number. 134 For simplicity, it seems sensible to add (back) subord<strong>in</strong>ated<br />
liabilities <strong>in</strong>stead to arrive at the f<strong>in</strong>al benchmark. As discussed <strong>in</strong><br />
the regulatory view, the market value of equity is too volatile a measure <strong>and</strong><br />
128 For the difficulties aris<strong>in</strong>g from us<strong>in</strong>g market-value-based actual capital numbers,<br />
please refer to the discussion of such numbers <strong>in</strong> the section on capital adequacy <strong>in</strong><br />
the regulatory context above.<br />
129 See Merton <strong>and</strong> Perold (1993), pp. 22–23.<br />
130 See, for example, Drzik et al. (1998a), p. 27.<br />
131 This seems also to be reasonable because economic capital is a simplified version<br />
of the full-blown risk capital approach.<br />
132 This <strong>in</strong>surance pool is also based on the risk<strong>in</strong>ess of the loan portfolio.<br />
133 Unlike book equity, this number conta<strong>in</strong>s (hidden) reserves <strong>and</strong> allows for reasonable,<br />
market-driven adjustments to the book value of assets.<br />
134 Of course, the expected revenues are ignored <strong>in</strong> the regulatory view because they<br />
are too uncerta<strong>in</strong> to count as reliable buffer for losses.