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H6w d6 y64 get n40 36c2 6ff a 3at6?

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Q: H6w d6 y64 get n40 36c2 6ff a 3at6?
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How many sides does a regular polygon with an exterior angle measure of 40 degrees have and how do you do it?

(The exterior angles of a regular polygon total 360 degrees. 360 divided by 40 = 9 sides. For a more difficult way to come up with the same information, read on.)Okay, this is probably not the most efficient or simple way to do the problem, but I'll show you the way I did it.First you determine the measure of the interior angles that correspond with the exterior angles. The exterior and interior angles form a straight line. Since a straight line is always 180 degrees:40+y=180where y= the measure of any interior angle (they're all the same)40+y-40=180-40y=140so, the interior angles are 140 degreesThen I wrote a formula to find the total measure of the interior angles of a regular polygon given n sides.A regular triangle has 180 total degrees, a square has 360, a pentagon has 540, etc.A formula that works for all of these is:x=180(n-2)where n is the number of sides andwhere x is the total measure of the interior anglesTo get the measure of each angle you simply divide by n, so we now have:x/n=180*(n-2)/nI'll replace the x/n with y for simplicity(y=the measure of each interior angle)y=180*(n-2)/nNow simplify the equation to simplest termsy=180*(n-2)/ny=180*((n/n)-(2/n))y=180*(1-(2/n))y=180-(360/n) (Distributive property)We have already figured out y from earlier in the problem, so just plug it in and solve for n.140=180-(360/n)-40=-360/n40=360/nn(40)=(360/n)n40n=360n=9


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Effects of capitalizaton on Nigeria Banks?

The Impact of Recapitalization and Consolidation on Banks Costs of Equity in NigeriaAbstract:This study investigates the impact of the impact of the bank recapitalization and consolidation program on the cost of equity capital of banks in Nigeria. On the strength of the analysis done and the result obtained, the study concludes that the consolidation and recapitalization programme has brought about considerable reduction in the cost of equity capital of the sampled banks.INTRODUCTIONThe financial deregulation in Nigeria that started in 1987 subsequent to the adoption of the now abandoned Structural Adjustment Program (SAP) in 1986, generated a high and healthy degree of competition in the banking sector. This was because the financial deregulation provided incentives for the expansion of banks in terms of individual size and number of banks in operation. However, the increased competition in the financial sector in general and the banking sub-sector in particular, amidst political instability and financial policies inconsistencies on the part of the financial regulators, led to rapid decline in profitability of the traditional banking activities. Thus in a bid to survive and maintain adequate profit level in the ensuing political and policy instability in the Nigerian economy, banks started taking excessive risks which led to frequent bank failures and related financial shocks in the economy.In its effort to prevent frequent bank failures, on July 6, 2004, the Central Bank of Nigeria (CBN) announced a major reform program that would transform the banking landscape of Nigeria. The main thrust of these new reform program was the prescription of a minimum shareholders funds of N25 billion for all Nigerian banks. The banks were expected to increase their capital through the injection of fresh funds where applicable. The banks were also encouraged to enter into merger/acquisition arrangements with other relatively smaller banks thus taking the advantage of economies of scale to reduce cost of doing business and enhance their competitiveness locally and internationally.The program resulted in reduction in the number of banks from 89-25 through merger/acquisition involving 76 banks. Indeed, the importance of adequate capital in banking cannot be overemphasized. Thus, increasing the capital base of banks as intended by the consolidation exercise was aimed at increasing customers confidence in the banking sector primarily. It is also expected to lead to increase in profitability and higher returns for the shareholders. About 3 years after the completion of the 1st phase of the Consolidation program, this study sought to ascertain if some of this fundamental goals of the Consolidation program have been achieved and to what extent. This study therefore investigated the impact of Bank consolidation and recapitalization program on the cost of equity capital of banks in Nigeria. In other words, the study considered whether bank consolidation reduces the cost of capital of banks or not. In doing this, the study tested the hypothesis that: there is no significant difference in banks mean cost of equity capital before consolidation and the mean cost of equity capital after consolidation.The literatureTheoretical insights on bank recapitalization and consolidation: Generally, capital is needed to support business so therefore, the importance of adequate capital in banking cannot be overemphasized. Capital is an important element which enhances confidence and permits a bank to get involve or engage in banking. A very important function of capital in a bank is to serve as a means of absorbing losses. Capital serves as a buffer between operating losses and being unable to pay debt (insolvency). AsPhillips (1967) has correctly observed, the more capital a bank has, the more losses it can sustain without running into bankruptcy. Capital thus, provides the measure for the time a bank has to correct for lapses, internal weakness or negative developments. The larger size and capital a bank has, the longer the time the bank has before losses completely erode its capital. Apart from capital standing as a protection against losses, adequate capital gives other benefits among which are:•Protection of depositors and creditors in time of failure•Strengthening of bank ability to attract funds at lower cost•Enhances a bank's liquidity positionThe larger the liquidity of a bank, the less the bank is exposed to risk. The difficulty, however is that little skill is rewarded with return in line with observation in finance theory of positive linear relationship between risk and return. Thus while inadequate liquidity will destroy a bank's reputation, excess liquidity will retard earnings. In view of its significance, the regulatory authorities consider capital adequacy a primary index to monitor bank. The traditional measures of capital adequacy ratio are ratio of equity funds to risky assets and ratio of capital funds to risk assets.The minimum capital adequacy ratio as prescribed by Basle committee of central banks' supervision is 8%. This ratio relates capital to what is considered the banks biggest risk namely, credit. The 8% ratio implies that for every N100 credit, a bank needs N8 capital. A lesser ratio shows different degree of capitalization. The Basle committee is a group of international bankers that met to fashion out more stringent way of determining a bank's capital adequacy ratio. In its explanation of relevance of bank's capital base, the committee stated that a capital serves as a foundation for a bank future growth and as a cushion against unexpected losses. Adequate capitalized banks that are well managed are better able to withstand losses and provide credit to consumers and businesses alike throughout the business cycle including during downturns. Adequate capital therefore, helps to promote confidence in the banking system. Bank recapitalization and consolidation offers opportunities for facilitating adequate capitalization of banks.Consolidation is most commonly described as the reduction in the number of banks and other deposit taking institutions with a simultaneous increase in the size and concentration of the consolidation entities in the sector. It is mostly motivated by technology innovation, deregulation of financial services, enhancing intermediation and increased emphasis on shareholder value, privatization and international competition (Berger et al., 1999; De Nicola et al., 2003).The process of consolidation has been argued to enhance bank efficiency through cost reduction revenue in the long run. It also reduces industry's risk by elimination of weaker banks and acquiring the smaller ones by bigger and stronger banks as well as creates opportunities for greater diversification and financial intermediation.Consolidation in a banking system can either be market-driven and government induced. The market-driven consolidation which is more pronounced in the developed countries sees consolidation as a way of broadening competitiveness with added comparative advantage in the global context and eliminating excess capacity more efficiently than bankruptcy or other means of exit. On the other hand, government induced consolidation stems from the need to resolve problem of financial distress in order to avoid systematic crises as well as to restrict inefficient banks (Ajayi, 2005).One of the general effects of consolidation is the reduction in the number of players and thereby moving the industry more toward an oligopolistic market. Consolidation is achieved through merger and acquisition. A merger is the combination of two or more separate firms into a single firm. The firm that results from the process could take any of the following identities: acquirer target or new identity. Acquisition on the other hand, takes place where a company takes over the controlling shareholding interest of another company. Usually at the end of the process, there exist two separate entities or companies. The target company becomes either a division or a subsidiary of the acquiring company (Pandey, 2005).Mergers and acquisitions could raise profits in any of three major ways. First they could improve cost efficiency (by increasing scale of efficiency, scope, i.e., product mix efficiency or X-efficiency, i.e., managerial efficiency), reducing costs per unit of output for a given set of output quantities and input prices. Indeed, consultants and managers have often justified large mergers on the basis of expected cost efficiency gains.Second, mergers may increase profits superior combinations of inputs and outputs through improvements in profit efficiency that involve profit efficiency is a more inclusive concept than cost efficiency because it takes into account the cost and which is taken as given in the measurement of cost revenue effects of the choice of the output vector, efficiency. Thus, a merger could improve profit efficiency without improving cost efficiency if the reconfiguration of outputs associated with the merger increases revenues more than it increases costs or if it reduces costs more than it reduces revenues. Third, mergers may improve profits through the exercise of additional market power in setting prices. An increase in market concentration or market share may allow the consolidated firm to charge higher rates for the goods or services it produces, raising profits by extracting more surplus from consumers without any improvement in efficiency. In summary, banking recapitalization and consolidation is more than mere striking of the number of banks in any banking industry. It is expected to enhance synergy improve efficiency, induce investor, focus and trigger productivity and welfare gains.Empirical evidences on bank recapitalization and consolidation: The empirical literature is divided on the effect of recapitalization and consolidation in improving the performance and efficiency of banks. The studies by Berger et al. (1999) suggest that bank consolidations do not significantly improve the performance and efficiency of the participant banks. In contrast, Berger and Mester (1997), Berger and Humphrey (1992), Allen and Rai (1996) and Molyneux et al. (1996) indicate that there is a substantial potential for efficiency improvements from mergers of banks. However, the prospects for scale efficiency gains appear to be greater in the 1990s than in the 1980s. This finding is ascribed to technological progress, regulatory changes and the beneficial effect of lower interest rates (Berger et al., 1999).According to Shih (2003), the idea underlying the consolidation promotion policy is that bank consolidations should reduce the insolvency risk through asset diversification (Shih, 2003). There are a number of empirical studies which confirm a risk diversifying effect of bank consolidation whether directly or indirectly (Hughes et al., 1996, 1999; Benston et al., 1995; Craig and Santos, 1997;Demsetz and Strahan, 1997; Saunders and Wilson, 1999). On the other hand, Shih (2003) points out the possibility that credit risk could increase in the event a sound bank merges with an unsound one.Case studies evidences suggest that the cost efficiency effects of mergers and acquisition may depend on the motivation behind the mergers and the consolidation process (Rhoades, 1998). Haynes and Thompson (1999) explore the productivity effects of acquisitions for a panel of 93 UK building societies over the period 1981-1993. In contrast to much of the existing bank merger literature, the results indicate significant and substantial productivity gains following acquisition. These gains were observed not to be the result of economies of scale but are found to be consistent with a merger process in which assets are transferred to the control of more productive managements. Similarly, Resti (1998) reports increased levels of efficiency for Italian bank mergers and acquisition, especially when the deals involved relatively small banks with considerable market overlap. Sawada and Okazaki (2004) investigate the effects of policy-promoted consolidation on the stability of the financial system using the data on prewar Japan. It was confirmed that policy-promoted consolidations mitigated the financial crisis by enhancing the ability of the bank to collect deposits, under the condition that the financial system was exposed to serious negative shocks. However, policy-promoted consolidations also had negative aspects as they were accompanied by large organizational costs and decreased bank profitability.Akhavein et al. (1997) examine the efficiency and price effects of mergers by applying a frontier profit function to data on bank mega mergers in the US banking industry. It was reported that merged banks experience a statistically significant 16% point average increase in profit-efficiency rank relative to other large banks. Most of the improvement is from increasing revenues including a shift in outputs from securities to loans, a higher-valued product. Improvements were greatest for the banks with the lowest efficiencies prior to merging who therefore had the greatest capacity for improvement. By comparison, the effects on profits from merger-related changes in prices were found to be very small.Huizinga et al. (2001) analyze the efficiency effects of 52 horizontal bank mergers in Europe over the period 1994-1998, i.e., the period immediately preceding the start of European Monetary Union. They find evidence of substantial unexploited scale economies and large X-inefficiencies in European banking. The dynamic merger analysis indicates that the cost efficiency of merging banks is positively affected by the merger while the relative degree of profit efficiency improves only marginally. However, there was no evidence that merging banks are able to exercise greater market power in the deposit market. On the basis of these results, it was concluded that the bank merger and acquisitions examined in the study appear to be socially beneficial.Vallascas and Hagendorff (2011) analyze with a sample of 134 bidding banks, the implications of European bank consolidation on the default risk of acquiring banks. The Merton distance to default model was employed to show that on average, bank mergers are risk neutral. However for the least risky banks, mergers generate a significant increase in default risk. This result is particularly pronounced for cross-border and activity-diversifying deals as well as for deals completed under weak bank regulatory regimes. In addition, large deals which pose organizational and procedural hurdles, experience a merger-related increase in default risk. The researchers are of the opinion that these results cast doubt on the ability of bank merger activity to exert a risk-reducing and stabilizing effect on the European banking industry.Rationale for bank recapitalization and consolidation in Nigeria: Prior to 1992, the minimum paid up capital requirement for banks in Nigeria was N12 million for merchant banks and N20 million for commercial banks. A review that year moved the requirements to N40 and 50 million, respectively. This level lasted till 1997 when a uniform N500 million minimum capital was introduced. The reason for discontinuing the dichotomy was to allow for a level playing field and the realization that there was no real difference between the capital requirements of the two categories. It was also to prepare the system for the introduction of universal banking. In 2000, the minimum capital was moved to N1 billion for new banks while existing banks were expected to meet this level by December 2002.Total N2 billion minimum paid up capital was introduced for new banks in 2001 while existing banks were given until December 2004 to comply. The reasons for these adjustments include:•Increasing cost of IT and other infrastructure•Comparison with other jurisdictions•Inflation and increasing interest rates•Depreciation of the national currency, the Naira•Strengthening the operational capacity of deposit money banks•Minimizing the risk of distressThere was also the need to curb the spate of requests for licenses which in many cases were not backed with any serious intention. The absorptive capacity of the system was also an issue, i.e. things like the executive capacity to run the banks, supervisory resources, the cut throat competition that was breeding malpractices, etc. Consequently on July 6, 2004, the Central Bank of Nigeria (CBN) made a policy pronouncement.The highlight was the increment of the earlier N2-N25 billion with full compliance deadline fixed for the end of the year. The rationale as indicated is that most banks in Nigeria have a capital base of