Financial Effects of External Auditing_Research Paper Study

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    Financial Effects

    of

    External Auditing

    Gorazd Brumen and Leon Bodgan Stacescu

    University of Zrich, Swiss Banking Institute

    Studied by:Ramit Gupta and Rajat Kashyap Kumar

    Shaheed Sukhdev College of Business Studies, University of Delhi

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    Introduction

    Share price maximization is the managementobjective

    How does auditing effect this objective?

    What happens to the auditing effort chosen bythe firm in presence of debtholder-shareholderconflict?

    What is the appropriate amount of auditors

    compensation? Questions above are answered under the

    assumption of a free-market economy. Therefore,a firm may even choose no auditing at all.

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    Why is auditing required?

    Shareholders value companies in their portfolios

    differently under the condition of incomplete

    information.

    This adds a noise component to the economy,

    increasing volatility in the share price.

    CARA Gaussian risk-averse investors on the other

    hand will invest only if the volatility is low. Therefore, the firm will have to choose auditing

    to reduce this volatility caused by noise.

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    Opposite effects of auditing

    On one hand auditing reduces uncertainty,

    leading to a higher share value.

    On the other hand though, auditing costs arefar from negligible. In 2005, the top four

    auditing firms aggregate revenue was $70bn.

    The auditing effort chosen by the firm will be

    determined by the interaction of these two

    aspects of auditing.

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    Simple model of Auditing

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    The firms auditing benefit has a call-option

    like structure w.r.t. the overall noise in theeconomy and a put option-like structure w.r.t.

    the formation of information channel C.

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    Auditing in view of

    Debt holder-Shareholder Conflict

    What auditing effort would debtholders and

    shareholders choose in order to maximizetheir securities value?

    What is the auditing value added to bothtypes of agents?

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    The optimal auditing effort R from the perspective ofdebtholders and shareholders is different.

    The debtholders require auditing protection at highleverage levels while the shareholders are made worse offat every leverage level.

    Shareholder value decreases non-linearly with increasingleverage ratio, a consequence of auditing costs.

    Additionally, the stock values under auditing are strictlybelow their values for a non-audit company. This is the

    consequence of the arbitrage model stocks are viewed ascall options, which increase with increasing volatility,commanding that the auditing effort demanded by theshareholder is strictly below that of debtholders.

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    Strategic considerations regarding

    auditing

    Issue of negotiating powerwhich party

    offers the contract Case 1 Firm offers the auditing contract and

    the auditor either accepts or declines.

    Case 2 Two auditors simultaneously submitauditing offers. The firm chooses the one

    closest to the optimal level.

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    The following proposition states that the first

    best is achieved when the firm offers anauditing contract whereas the market breaks

    down when the negotiating power is with the

    auditor.

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    Result (a) states that the auditor accepts theauditing level proposed by the firm.

    Result (b) states two things: first, competition reduces the auditing effort

    (as well as audit fees for the company) secondly, auditing effort under laissez faireeconomy is below the optimal level

    Result (b) supports the provisions of the SarbanesOxley Act of Rotating external auditor. A repeatedoffer game can potentially solve this problem.

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    A model of Auditors Compensation

    Assumption firm is composed of n identical

    business units.

    Each of these units is a source of cash flows.

    Firm may possibly invest in resources intoauditing of each individual unit.

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    A result ofI

    nformation Theory tells us that themore business units there are, the smaller

    proportion of money invested (per business

    unit) has to be invested in order to reduce the

    perceived volatility of that unit to a desiredlevel.

    In plain terms, larger firms have an auditing

    advantage over smaller firms since the cashflow reduction in one unit implies similar

    reduction in all other units.

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    v(k) is the value of k firms business units

    without auditing and v(A,k) is the value underexternal auditing:

    f is the returns to scale function.{If we assume that for all x, yR the value v(k) = f(k)( 2) (and

    correspondingly v(A, k)), where

    the function f satisfies the Cauchy condition

    f(x) + f(y) f(x + y),

    we account for business-unit synergies}.

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    The total market capitalization of the firm isthen:

    The last formula above can also be expressed

    as:

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    The size of the auditors contribution to the firm

    value does not depend on the mean productionlevel of firms business units and is

    proportional to the marginal contribution F of

    each business unit.

    More importantly, the value of auditorscontribution is not proportional to the added

    auditing value to every business unit.

    Auditing therefore exhibits intrinsic economies of

    scale.

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    Conclusions

    The paper develops a model of optimalauditing behavior when cash flows to the firmare observed perfectly by the firm and

    imperfectly by the outsiders.

    In order to reduce this volatility, the firm has

    the possibility to choose an external auditorwhose report reduces this volatility asperceived by the outside investors.

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    The benefit to the firm is increasing with

    increasing noise in the economy, decreasingwith auditing costs, and increasing also with

    average absolute risk aversion in the economy.

    For all parameters, there exists a cut-off

    above (below) which no auditing is optimal.

    The model answers positively to the question

    of regulation of auditors, which all reduce the

    overall economic noise.

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    The shareholders and debt holders disagree about

    the optimal amount of auditing. Auditing primarily

    shield debtholders, whereas the shareholders benefit

    from increased price volatility.

    In a setting where the firm and outside investors donot observe the level of economic noise perfectly,

    the decisions on optimal auditing are the same as

    before, but based on the signal the agents receive

    about the economic noise variable.

    Finally, auditing in a multi-firm setup exhibits intrinsic

    economies of scale.