Risk adjusted discount rates and the present value of risky costs

In capital budgeting the correct risk adjusted discount rate for future cash flows is independent of whether the flow is a cost or a revenue. Contrary to a widely disseminated view in some popular textbooks and elsewhere, costs are not especially safe (nor risky), and accordingly costs should not be discounted at especially low risk adjusted discount rates. This paper analyzes capital budgeting within a portfolio model in which revenues and costs appear as “long’ and “short’ portfolio positions, respectively, and proves that costs are neither more nor less intrinsically risky than revenues.     

Investment appraisal practices: A comparative study of conventional and Islamic financial institutions

This paper compares the use of capital budgeting techniques of conventional and Islamic financial institutions, using data obtained from a survey of 105 conventional and Islamic financial institutions. Our main aim is to analyze the use of capital budgeting and risk techniques by the two types of financial institutions from a comparative perspective to see whether prohibition of riba makes a difference. Standard difference-of-means tests of the mean scores methods were used to test the hypotheses of the study. The results reveal a number of important conclusions. First, discounted cash flow techniques are found to be more widely used by financial institutions, and among those techniques internal rate of return is the most common. Second, Islamic financial institutions are found to adopt traditional methods that do not comply with the principles of Islamic Sharia'a. Third, a huge gap is found between the theory base of Islamic institutions and some of the practices of those institutions. Fourth, firms' characteristics, such as size, listing status, sources of revenue and government ownership, have some impact on their decisions to adopt capital budgeting criteria, methods of estimating costs of capital and risk. Finally, the decisions to select particular capital budgeting techniques, cost of capital estimation methods, and risk assessments are partly related to the characteristics of the chief financial officers.     

An axiomatic characterization of capital allocations of coherent risk measures

An axiomatic definition of coherent capital allocations is given. It is shown that coherent capital allocations defined by the proposed axiom system are closely linked to coherent risk measures. More precisely, the associated risk measure of a coherent capital allocation is coherent and, conversely, for every coherent risk measure there exists a coherent capital allocation.     

Cash demand,liquidation costs and capital market equilibrium under uncertainty

In this paper, the portfolio and the liquidity planning problems are unified and analyzed in one model. Stochastic cash demands have a significant impact on both the composition of an individual's optimal portfolio and the pricing of capital assets in market equilibrium. The derived capital asset pricing model with cash demands and liquidation costs shows that both the market price of risk and the systematic risk of an asset are affected by the aggregate cash demands and liquidity risk. The modified model does not require that all investors hold an identical risky portfolio as implied by the Sharpe-Lintner-Mossin model. Furthermore, it provides a possible explanation for the noted discrepancies between the empirical evidence and the prediction of the traditional capital asset pricing model.     

Unbiased estimation of expected return using CAPM

Estimation of expected return is required for many financial decisions. For example, an estimate for cost of capital is required for capital budgeting and cost of equity estimates are needed for performance evaluation based on measures such as EVA. Estimates for expected return are often based on the Capital Asset Pricing Model (CAPM), which states that expected excess return (expected return minus the risk-free rate) is equal to the asset's sensitivity to the world market portfolio (β) times the risk premium on the “world market portfolio” (the market risk premium). Since the world market portfolio, by definition, contains all assets in the world, it is not observable. As a result, an estimate for expected return is commonly obtained by taking an estimate for β based on some index (as a proxy for the world market portfolio) and an estimate for the market risk premium based on a potentially different index and multiplying them together. In this paper, it is shown that this results in a biased estimate for expected return. This is undesirable since biased estimates lead to misallocation of funds and biased performance measures. It is also shown in this paper that the straightforward procedure suggested by Fama and MacBeth [J. Financ. Econ. 1 (1974) 43] results in an unbiased estimate for expected return. Further from the analysis done, it follows that, for an unbiased estimate, it does not matter what proxy is used, as long as it is used correctly an unbiased estimate for expected return results.     

The Role of Payback in the Investment Process

This study examines the use of the payback (PB) method as a means of evaluating a proposed asset's risk and its joint application with profit-oriented capital budgeting models. Previous research studies indicating a linkage between the PB method and risk analysis are reviewed. A certainty-equivalent model is used to demonstrate this relationship and the properties of the relationship exploited by PB when used as a heuristic. Results of the analysis indicate that using a hurdle PB as a filter for identifying proposals with acceptable risk and return attributes is consistent with more quantitatively oriented investment techniques under certain conditions. The study then examines the conceptual relationship between PB and profit-oriented capital budgeting models. Results suggest that PB and profit-oriented capital budgeting techniques measure different attributes of an investment and complement one another in describing and analysing its cash flows.     

CAPITAL BUDGETING DECISIONS WHEN CASH FLOWS AND PROJECT LIVES ARE STOCHASTIC AND DEPENDENT

The purpose of this study is twofold: (1) to develop an operational economic state and simulation capital budgeting procedure for allowing cash flows and project lives to be dependent and (2) to provide empirical evidence of the impact of stochastic project lives on mean-variance and mean-semivariance capital budgeting decisions. The required number of input estimates for the proposed model is small. For individual projects, incorrectly assuming deterministic project lives when project lives are stochastic often results in large overestimates of expected net present values and large underestimates of the variance of the net present value. Similar results occur for the mean-variance and mean-semivariance portfolio models. The primary managerial implication of this study is that the inclusion of stochastic project lives in capital budgeting decisions is critical to obtain appropriate risk-return estimates.     

Performance ratio-based coherent risk measure and its application

Utilizing a specific acceptance set, we propose in this paper a general method to construct coherent risk measures called the generalized shortfall risk measure. Besides some existing coherent risk measures, several new types of coherent risk measures can be generated. We investigate the generalized shortfall risk measure’s desirable properties such as consistency with second-order stochastic dominance. By combining the performance evaluation with the risk control, we study in particular the performance ratio-based coherent risk (PRCR) measures, which is a sub-class of generalized shortfall risk measures. The PRCR measures are tractable and have a suitable financial interpretation. Based on the PRCR measure, we establish a portfolio selection model with transaction costs. Empirical results show that the optimal portfolio obtained under the PRCR measure performs much better than the corresponding optimal portfolio obtained under the higher moment coherent risk measure.     

Capital Project Analysis When Cash Flows Evolve as a Continuous Time Branching Process

Optimal capital budgeting criteria now exist for a variety of applications when project cash flows (or present values) evolve in terms of the well-known geometric Brownian motion. However, relatively little is known about the capital budgeting procedures that ought to be implemented when cash flows are generated by stochastic processes other than the geometric Brownian motion. Given this, our purpose here is to develop optimal investment criteria for capital projects with cash flows that evolve in terms of a continuous time branching process. Branching processes are compatible with an empirical phenomenon known as 'volatility smile'. This occurs when there are systematic fluctuations in the implied volatility of a capital project's cash flows as the cash flow grows in magnitude. A number of studies have shown that this phenomenon characterizes the cash flow streams of the capital projects in which firms typically invest. We implement optimal capital budgeting procedures for both the continuous time branching process and the geometric Brownian motion using cost and revenue data for the Stuart oil shale project in central Queensland, Australia. This example shows that significant differences can arise between the optimal investment criteria for cash flows based on a branching process and those based on the geometric Brownian motion. This underscores the need for the geometric Brownian motion broadly to reflect the way a given capital project's cash flows actually evolve if serious errors in valuation and/or capital budgeting decisions are to be avoided.     

VALUATION AND RISK-ADJUSTED DISCOUNT RATES

There is a continuing controversy as to whether the use of a constant risk adjusted discount rate in capital budgeting decisions implies that the risk of the cash flows increases over time. This paper shows that valuation using these discount rates implies an increasing premium for risk over time but that the increasing premium is due to the net impact of the uncertainty in the cash flow; uncertainty in future market expectations of the cash flow; and changes in the market price of risk. The risk of the cash flow itself need not be increasing over time.     

Factors affecting biasing of capital budgeting cash flow forecasts: evidence from the hotel industry

This study contributes to a neglected aspect of the capital budgeting process, namely, the proposal development stage, which is primarily concerned with project cash flow estimation. Given that the deployment of sophisticated selection techniques is severely undermined when directed to input data suffering from bias, it is surprising that minimal empirical research has sought to explore for antecedent factors associated with biasing of capital budgeting cash flow forecasts. This paper reports the findings of a survey concerned with determining factors associated with biasing of capital budget cash flow forecasts in hotels that are mediated by a management contract. Statistically significant support is provided for the view that higher levels of biasing of capital budget cash flow forecasts occur in the presence of: high emphasis attached to the payback investment appraisal method; deficient reserve funds for furniture, fittings, and equipment (FF&E); low operator accessibility to reserve funds for FF&E; shorter periods of time to management contract expiry; and high emphasis attached to non-financial factors in capital budgeting appraisal.     

Net working capital investment and capital budgeting analysis: Some pedagogical insights

Net working capital (NWC) investment, as a factor in discounted cash flow (DCF) analysis, receives little attention in the capital budgeting literature and accounting textbooks. The purpose of this paper is to explore the ways in which this important component of the analysis can be intregrated into the classroom and thus add to the student's overall understanding of capital budgeting. Four areas are discussed: (1) the significance of NWC investment in capital budgeting analysis, (2) the opportunity cost nature of the NWC investment, (3)measurement of the components of the NWC investment, and (4) use of the NWC investment to help restore the bottom line in DCF analysis to a pure cash flow basis. Integration of the fourth point into the topic of capital budgeting is found to be a convenient way to reinforce the student's understanding of the statement of cash flows.     

Time to wealth goals in capital accumulation

This paper considers the problem of investment of capital in risky assets in a dynamic capital market in continuous time. The model controls risk, and in particular the risk associated with errors in the estimation of asset returns. The framework for investment risk is a geometric Brownian motion model for asset prices, with random rates of return. The information filtration process and the capital allocation decisions are considered separately. The filtration is based on a Bayesian model for asset prices, and an (empirical) Bayes estimator for current price dynamics is developed from the price history. Given the conditional price dynamics, investors allocate wealth to achieve their financial goals efficiently over time. The price updating and wealth reallocations occur when control limits on the wealth process are attained. A Bayesian fractional Kelly strategy is optimal at each rebalancing, assuming that the risky assets are jointly lognormal distributed. The strategy minimizes the expected time to the upper wealth limit while maintaining a high probability of reaching that goal before falling to a lower wealth limit. The fractional Kelly strategy is a blend of the log-optimal portfolio and cash and is equivalently represented by a negative power utility function, under the multivariate lognormal distribution assumption. By rebalancing when control limits are reached, the wealth goals approach provides greater control over downside risk and upside growth. The wealth goals approach with random rebalancing times is compared to the expected utility approach with fixed rebalancing times in an asset allocation problem involving stocks, bonds, and cash.     

THE DETERMINATION AND USE OF INVESTMENT HURDLE RATES IN CAPITAL BUGETING: A SURVEY OF AUSTRALIAN PRACTICE*

This paper summarizes the results of a survey, conducted in 1979, which investigated Australian practice in the determination and use of investment hurdle rates, and in certain other areas of capital budgeting which impinge on hurdle rate practice. The study suggests a significant closure of the gap between theory and practice in capital budgeting in terms of the use of discounted cash flow techniques of capital project evaluation, and in terms of the use of some tools of finance such as the weighted average cost of capital. However, many developments in the determination and use of investment hurdle rates appear to have taken place at a slower rate, and it is possible that some “back-tracking” may be required in order to improve practice.     

Two-sided coherent risk measures and their application in realistic portfolio optimization

By using a different derivation scheme, a new class of two-sided coherent risk measures is constructed in this paper. Different from existing coherent risk measures, both positive and negative deviations from the expected return are considered in the new measure simultaneously but differently. This innovation makes it easy to reasonably describe and control the asymmetry and fat-tail characteristics of the loss distribution and to properly reflect the investor’s risk attitude. With its easy computation of the new risk measure, a realistic portfolio selection model is established by taking into account typical market frictions such as taxes, transaction costs, and value constraints. Empirical results demonstrate that our new portfolio selection model can not only suitably reflect the impact of different trading constraints, but find more robust optimal portfolios, which are better than the optimal portfolio obtained under the conditional value-at-risk measure in terms of diversification and typical performance ratios.     

A NEW APPROACH TO CAPITAL BUDGETING FOR FINANCIAL INSTITUTIONS

The classic approach to capital budgeting based on the standard Capital Asset Pricing Model (CAPM) says that the hurdle rate (or cost of capital) for any new project or investment should depend only on the riskiness of that investment. Thus, the hurdle rate, and hence the expected value of the investment, should not be affected by the financial policy of the company evaluating the project. Nor should the hurdle rate be influenced by the company's risk management policy, or by the kind of assets it already has on the balance sheet. This article argues that such a “singlefactor” model may be inappropriate for banks and other financial institutions for two main reasons:

• ? it is especially costly for banks to raise new external funds on short notice;
• ? it is costly for banks to hold a buffer stock of equity capital on the balance sheet, even if this equity is accumulated over time through retained earnings.

The single-factor CAPM ignores such costs and, in so doing, understates the true economic costs of “illiquid” bank investments. Illiquid investments require special treatment because they impose risks that, although “diversifiable” by shareholders, cannot be readily hedged by the bank and therefore require it to hold more equity capital. The authors accordingly propose a “two-factor” model for capital budgeting— one in which banks' investment decisions are linked to their capital structure and risk management decisions. One of the key implications of the two-factor model is that a bank should evaluate new investments according to both their correlation with the market portfolio and their correlation with the bank's existing portfolio of unhedgeable risks. The authors describe several potential applications of their model, including the evaluation of proprietary trading operations and the pricing of unhedgeable derivatives positions. They also compare their approach to the RAROC methodology that has been adopted by a number of banks.     

Capital budgeting and delegation

As part of our ongoing research into capital budgeting processes as responses to decentralized information and incentive problems, we focus in this paper on when a level of a managerial hierarchy will delegate the allocation of capital across projects and time to the level below it. In our model, delegation is a way to save on costly investigation of proposed projects. Therefore, it is more extensive the larger are the costs of such investigations. This delegation takes advantage of the fact that the lower-level manager's preferences are assumed to be similar (though not identical) to those of the higher level.     

Joint Effects of Interest Rate Deregulation and Capital Requirements on Optimal Bank Portfolio Adjustments

The 1980 Depository Institution Deregulation and Monetary Control Act (DIDMCA) mandates that Regulation Q be phased out by 1986. With deregulation of interest rate ceilings, the cost of raising capital funds for commercial banks would become more volatile and more closely related with interest rates in the money and capital markets. Thus, value-maximizing bank managers would need to be concerned not only with the internal risk, but also with the external risk in bank portfolio management decisions. Based upon the cash flow version of the capital asset pricing model, this paper analyzes the joint impact of interest rate deregulation and capital requirements on the portfolio behavior of a banking firm.     

Capital Allocation in Financial Firms

This paper develops a theory of capital allocation in financial intermediaries where the cost of "risk capital" is a critical consideration. The implication for capital budgeting is that financial firms should use a modified NPV rule in which projects are valued by calculating the NPV of cash flows using marketdetermined discount rates and then subtracting a deadweight cost of capital that reflects the project's marginal contribution to firm-wide risk.
By taking account of deadweight costs—mainly monitoring and moral hazard costs associated with having too little equity capital as well as "free cash flow" agency costs and higher taxes associated with having too much—the capital allocation model predicts that financial firms will diversify across businesses with similar deadweight costs. Such diversification reduces the cost of risk capital for the individual businesses, thereby creating more profitable investment opportunities at the margin and enabling the businesses to operate on a larger scale. The authors note that their model has similarities to but also important differences from the standard applications of RAROC models.