Probability-generating function: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Jfr26
→‎Examples: Change negative binomial to closer match the convention in the negative binomial article
en>Dicklyon
 
Line 1: Line 1:
An '''interest rate cap''' is a [[derivative (finance)|derivative]] in which the buyer receives payments at the end of each period in which the interest rate exceeds the agreed [[strike price]].  An example of a cap would be an agreement to receive a payment for each month the [[LIBOR]] rate exceeds 2.5%.
Some users of computer are aware which their computer become slower or have some errors after using for a while. But most folks don't recognize how to speed up their computer plus some of them don't dare to operate it. They always find certain experts to keep the computer inside superior condition yet they have to invest certain cash on it. Actually, we can do it by yourself. There are many registry cleaner software which there are 1 of them online. Some of them are free and you merely should download them. After installing it, this registry cleaner software might scan the registry. If it found these mistakes, it will report we and you can delete them to keep the registry clean. It is easy to work plus it happens to be the best means to repair registry.<br><br>Many of the reliable businesses can offer a full income back guarantee. This means that you have the chance to receive a cash back when you find the registry cleaning has not delivered what we expected.<br><br>Over time the disk could furthermore get fragmented. Fragmentation causes your computer to slow down because it takes windows much longer to locate a files location. Fortunately, a PC has a built inside disk defragmenter. We can run this program by clicking "Start" - "All Programs" - "Accessories" - "System Tools" - "Disk Defragmenter". You usually have the option to choose which forces or partition you need to defragment. This action can take we some time so it is very advised to do this on a regular basis thus because to avoid further fragmentation and to accelerate your windows XP computer.<br><br>How to fix this problem is to initially reinstall the program(s) causing the mistakes. There are a lot of different programs which use this file, however, one may have placed their own faulty version of the file onto a system. By reinstalling any programs which are causing the error, you will not merely let the PC to run the program correctly, but a fresh file is placed onto a program - exiting your computer running because smoothly because possible again. If you try this, and find it refuses to work, then you need to look to update a program & any software you have on a PC. This will probably update the Msvcr71.dll file, allowing a computer to read it correctly again.<br><br>Another thing you need to check is whether or not the [http://bestregistrycleanerfix.com/registry-reviver registry reviver] system that you are considering has the ability to detect files plus programs that are good. One of the registry cleaner programs you might try is RegCure. It is helpful for speeding up plus cleaning up issues on the computer.<br><br>The initial thing we should do is to reinstall any system which shows the error. It's typical for several computers to have particular programs which require this DLL to show the error when you try plus load it up. If you see a certain system show the error, you must first uninstall which program, restart a PC plus then resinstall the system again. This should replace the damaged ac1st16.dll file plus remedy the error.<br><br>Your registry is the region all a important configurations for hardware, software and consumer profile configurations plus needs are stored. Every time 1 of these elements is changed, the database then starts to expand. Over time, the registry can become bloated with unwanted files. This causes a general slow down nevertheless in extreme situations will result significant tasks and programs to stop working all together.<br><br>What I would recommend is to look on your for registry cleaners. We can do this with a Google look. When you find goods, look for reviews and testimonials about the product. Then you can see how others like the product, and how perfectly it functions.
 
Similarly an '''interest rate floor''' is a derivative contract in which the buyer receives payments at the end of each period in which the interest rate is below the agreed strike price.
 
Caps and floors can be used to [[hedge (finance)|hedge]] against interest rate fluctuations. For example a borrower who is paying the LIBOR rate on a loan can protect himself against a rise in rates by buying a cap at 2.5%.  If the interest rate exceeds 2.5% in a given period the payment received from the derivative can be used to help make the interest payment for that period, thus the interest payments are effectively "capped" at 2.5% from the borrowers point of view.
 
==Interest rate cap==
An '''interest rate cap''' is a [[derivative (finance)|derivative]] in which the buyer receives payments at the end of each period in which the interest rate exceeds the agreed [[strike price]].  An example of a cap would be an agreement to receive a payment for each month the [[LIBOR]] rate exceeds 2.5%.
 
The interest rate cap can be analyzed as a series of [[European call option]]s or '''caplets''' which exist for each period the cap agreement is in existence.
 
In mathematical terms, a caplet payoff on a rate ''L'' struck at ''K'' is
 
:<math> N\cdot\alpha\max(L-K,0)</math>
 
where ''N'' is the notional value exchanged and ''<math> \alpha </math>'' is the [[day count fraction]] corresponding to the period to which ''L'' applies. For example suppose you own a caplet on the six month [[USD]] LIBOR rate with an expiry of 1 February 2007 struck at 2.5% with a notional of 1 million dollars. Then if the USD LIBOR rate sets at 3% on 1 February you receive
 
<math>$1M\cdot 0.5\cdot \max(0.03-0.025, 0) = $2500</math>
 
Customarily the payment is made at the end of the rate period, in this case on 1  August.
 
==Interest rate floor==
An '''interest rate floor''' is a series of [[European put option]]s or '''floorlets''' on a specified [[reference rate]], usually [[LIBOR]]. The buyer of the floor receives money if on the maturity of any of the floorlets, the reference rate is below the agreed [[strike price]] of the  floor.
 
==Valuation of interest rate caps==
 
===Black model===
The simplest and most common valuation of interest rate caplets is via the [[Black model]]. Under this model we assume that the underlying rate is [[log-normal distribution|distributed log-normally]] with [[Volatility (finance)|volatility]] <math>\sigma</math>. Under this model, a caplet on a LIBOR expiring at t and paying at T has present value
 
:<math> V = \alpha P(0,T)\left(F N(d_1) - K N(d_2)\right), </math>
 
where
 
:''P''(0,''T'') is today's [[discount factor]] for ''T''
:''F'' is the [[forward price]] of the rate. For LIBOR rates this is equal to <math> {1\over \alpha }\left(\frac{P(0,t)}{P(0,T)} - 1\right)</math>
:''K'' is the strike
:<math>d_1 = \frac{\ln(F/K) + 0.5 \sigma^2t}{\sigma\sqrt{t}}</math>
and
:<math>d_2 = d_1 - \sigma\sqrt{t}</math>
 
Notice that there is a one-to-one mapping between the volatility and the present value of the option. Because all the other terms arising in the equation are indisputable, there is no ambiguity in quoting the price of a caplet simply by quoting its volatility. This is what happens in the market. The volatility is known as the "Black vol" or [[implied volatility|implied vol]].
 
===As a bond put===
It can be shown that a cap on a LIBOR from ''t'' to ''T'' is equivalent to a multiple of a ''t''-expiry put on a ''T''-maturity bond. Thus if we have an interest rate model in which we are able to value bond puts, we can value interest rate caps. Similarly a floor is equivalent to a certain bond call. Several popular [[short rate model]]s, such as the [[Hull-White model]] have this degree of tractability. Thus we can value caps and floors in those models..
 
'''What about Collars?'''
 
'''''Interest rate collar'''''
 
…the simultaneous purchase of an interest rate cap and sale of an interest rate floor on the same index for the same maturity and notional principal amount.
*The cap rate is set above the floor rate.
*The objective of the buyer of a collar is to protect against rising interest rates (while agreeing to give up some of the benefit from lower interest rates).
*The purchase of the cap protects against rising rates while the sale of the floor generates premium income.
*A collar creates a band within which the buyer’s effective interest rate fluctuates
 
'''''And Reverse Collars?'''''
 
…buying an interest rate floor and simultaneously selling an interest rate cap.
*The objective is to protect the bank from falling interest rates.
*The buyer selects the index rate and matches the maturity and notional principal amounts for the floor and cap.
*Buyers can construct zero cost reverse collars when it is possible to find floor and cap rates with the same premiums that provide an acceptable band.
 
'''The size of cap and floor premiums are determined by a wide range of factors'''
 
*The relationship between the strike rate and the prevailing 3-month LIBOR
**premiums are highest for in the money options and lower for at the money and out of the money options
*Premiums increase with maturity.
**The option seller must be compensated more for committing to a fixed-rate for a longer period of time.
*Prevailing economic conditions, the shape of the [[yield curve]], and the volatility of interest rates.
**upsloping [[yield curve]]—caps will be more expensive than floors.
**the steeper is the slope of the [[yield curve]], [[ceteris paribus]], the greater are the cap premiums.
**floor premiums reveal the opposite relationship.
 
===Valuation of  CMS Caps===
Caps based on an underlying rateLIBOR (like a Constant Maturity Swap Rate) cannot be valued using simple techniques described above. The methodology for valuation of CMS Caps and Floors can be referenced in more advanced papers.
 
==Implied Volatilities==
*An important consideration is cap and floor volatilities. Caps consist of caplets with volatilities dependent on the corresponding forward LIBOR rate. But caps can also be represented by a "flat volatility", so the net of the caplets still comes out to be the same. (15%,20%,....,12%) → (16.5%,16.5%,....,16.5%)
**So one cap can be priced at one vol.
 
*Another important relationship is that if the fixed swap rate is equal to the strike of the caps and floors, then we have the following [[put-call parity]]: Cap-Floor = Swap.
*Caps and floors have the same implied vol too for a given strike.
**Imagine a cap with 20% vol and floor with 30% vol. Long cap, short floor gives a swap with no vol. Now, interchange the vols. Cap price goes up, floor price goes down. But the net price of the swap is unchanged. So, if a cap has x vol, floor is forced to have x vol else you have arbitrage.
 
*A Cap at strike 0% equals the price of a floating leg (just as a call at strike 0 is equivalent to holding a stock) regardless of volatility cap.
 
==Interest rate caps and their impact on financial inclusion==
 
Research was conducted after Zambia reopened an old debate on a lending rate ceiling for banks and other financial institutions. The issue originally came to the fore during the financial liberalisations of the 1990s and again as microfinance increased in prominence with the award of the Nobel Peace Prize to Muhammad Yunus and Grameen Bank in 2006. It was over the appropriateness of regulatory intervention to limit the charging of rates that are deemed, by policymakers, to be excessively high.<ref name="partnerplatform">Miller, H., Interest rate caps and their impact on financial inclusion, ECONOMIC AND PRIVATE SECTOR PROFESSIONAL EVIDENCE AND APPLIED KNOWLEDGE SERVICES, http://partnerplatform.org/?0sf32f0p</ref>
A 2013 research paper<ref name="partnerplatform" /> asked
 
* Where are interest rate caps currently used, and where have they been used historically?
* What have been the impacts of interest rate caps, particularly on expanding access to financial services?
* What are the alternatives to interest rate caps in reducing spreads in financial markets? <ref name="partnerplatform" />
 
===Understanding the composition of the interest rate===
 
The researcher <ref>Howard Miller, Nathan Associates, February 2013</ref> decided that to assess the appropriateness of an interest rate cap as a policy instrument, (or whether other approaches would be more likely to achieve the desired outcomes of government), it was vital to consider what exactly makes up the interest rate and how banks and [[MFI]]s are able to justify rates that might be considered excessive.<ref name="partnerplatform" />
 
He found broadly there were four components to the interest rate:-
 
*Cost of funds
*The overheads
*Non performing loans
*Profit<ref name="partnerplatform" />
 
====Cost of funds====
 
The cost of funds is the amount that the financial institution must pay to borrow the funds that it then lends out. For a commercial bank or deposit taking microfinance institutions this is usually the interest that it gives on deposits. For other institutions it could be the cost of wholesale funds, or a subsidised rate for credit provided by government or donors. Other MFIs might have very cheap funds from charitable contributions.<ref name="partnerplatform" />
 
====The overheads====
 
The overheads reflect three broad categories of cost.
 
* Outreach costs - the expansion of a network or development of new products and services must also be funded by the interest rate margin
* Processing costs - is the cost of credit processing and loan assessment, which is an increasing function of the degree of information asymmetry
*General overheads- general administration and overheads associated with running a network of offices and branches<ref name="partnerplatform" />
 
The overheads, and in particular the processing costs can drive the price differential between larger loans from banks and smaller loans from [[MFI]]s. Overheads can vary significantly between lenders and measuring overheads as a ratio of loans made is an indicator of institutional efficiency.<ref name="partnerplatform" />
 
====Non performing loans====
 
Lenders must absorb the cost of bad debts and write them off in the rate that they charge. This allowance for [[non-performing loan]]s means lenders with effective credit screening processes should be able to bring down rates in future periods, while reckless lenders will be penalised.<ref name="partnerplatform" />
 
====Profit====
 
Lenders will include a profit margin that again varies considerably between institutions. Banks and commercial [[MFI]]s with shareholders to satisfy are under greater pressure to make profits than [[NGO]] or [[not-for-profit]] MFIs.<ref name="partnerplatform" />
 
===The rationale behind interest rate caps===
 
Interest rate caps are used by governments for political and economic reasons, most commonly to provide support to a specific industry or area of the economy. Government may have identified what it considers being a market failure in an industry, or is attempting to force a greater focus of financial resources on that sector than the market would determine.<ref name="partnerplatform" />
*Loans to the agricultural sector to boost agricultural productivity as in [[Bangladesh]].
*Loans to credit constrained [[SME]]s as in [[Zambia]].<ref name="partnerplatform" />
 
The researcher found it is also often argued that interest rate ceilings can be justified on the basis that financial institutions are making excessive profits by charging exorbitant interest rates to clients. This is the [[usury]] argument <ref>Office of Fair Trading (OFT), Price Controls: Evidence and arguments surrounding price control and interest rate caps for high-cost credit (May 2010)</ref> and is essentially one of market failure where government intervention is required to protect vulnerable clients from predatory lending practices. The argument, predicated on an assumption that demand for credit at higher rates is price inelastic, postulates financial institutions are able to exploit information asymmetry, and in some cases short run monopoly market power, to the detriment of client welfare. Aggressive collection practices for non-payment of loans have exacerbated the image of certain lenders.<ref name="partnerplatform" />
 
The researcher says that economic theory suggests market imperfections will result from [[information asymmetry]] and the inability of lenders to differentiate between safe and risky borrowers.<ref>Stiglitz, Joseph & Weiss, Andrew, Credit Rationing in Markets with Imperfect Information (June 1981)</ref> When making a credit decision, a bank or a microfinance institution cannot fully identify a client’s potential for repayment.<ref name="partnerplatform" />
 
Two fundamental issues arise:<ref name="partnerplatform" />
 
*Adverse selection - clients that are demonstrably lower risk are likely to have already received some form of credit. Those that remain will either be higher risk, or lower risk but unable to prove it. Unable to differentiate, the bank will charge an aggregated rate which will be more attractive to the higher risk client. This leads to a raised [[probability of default]] ex ante.<ref name="partnerplatform" />
 
*Moral hazard - clients borrowing at a higher rate might be required to make riskier to cover their borrowing costs leading to a higher probability of default afterwards.<ref name="partnerplatform" />
 
The researcher claims that traditional ‘microfinance group lending methodology’ helps manage adverse selection risk by using [[social capital]] and [[risk understanding]] within a community to price risk. However, interest rate controls are most often found at the lower end of the market where financial institutions (usually [[MFI]]s) use the information asymmetry to justify high lending rates. In a non-competitive market (as is likely to exist in a remote African village), the lender likely holds the monopoly power to make excessive profit without competition evening them out.<ref name="partnerplatform" />
 
The financial markets will segment so large commercial banks service larger clients with larger loans at lower interest rates and microfinance institutions charge higher rates of interest on a larger volume of low value loans. In between, smaller commercial banks can find a niche serving medium to large enterprises. Inevitably the [[missing middle]], individuals and businesses will be unable to access credit from either banks or MFIs.<ref name="partnerplatform" />
 
The researcher found it intuitive that basic interest rate caps are most likely to bite at the lower end of the market, with interest rates charged by microfinance institutions generally higher than those by banks <ref>Kneiding, Cristoph and Rosenberg, Richard, Variations in Microcredit Interest Rates (July 2008) CGAP Brief</ref> and this is driven by a higher cost of funds and higher relative overheads. Transaction costs make larger loans relatively more cost effective for the financial institution.<ref name="partnerplatform" />
 
If it costs a commercial bank $100 to make a credit decision on a $10,000 loan then it will factor this 1% into the price of the loan (the interest rate). The cost of loan assessment does not fall in proportion with the loan size and so if a loan of $1,000 still costs $30 to assess, the cost which must be factored in rises to 3%. This cost pushes the higher rates of lending on smaller loans. The higher prices are usually paid because the marginal product of capital is higher for people with little or no access to it.<ref name="partnerplatform" />
 
In implementing a cap, government is aiming to incentivise lenders to push out the supply curve and increase access to credit while bringing down lending rates, assuming the cap is set below the market equilibrium. If above then lenders will continue to lend as before.<ref name="partnerplatform" />
 
The researcher thinks such thinking ignores the actions of the banks and MFIs operating under asymmetric information. The imposition of a maximum price of loans magnifies the problem of adverse selection as the consumer surplus that it creates is a larger pool willing borrowers of unidentifiable creditworthiness.<ref name="partnerplatform" />
 
Faced with this problem, he proposes lenders have three options:<ref name="partnerplatform" />
 
- Increased lending, meaning lending to more bad clients and pushing up NPLs
- Increased investment in processing systems to better identify good clients, increasing overheads
- Increased investment in outreach to clients, identified as having good repayment potential, increasing overheads <ref name="partnerplatform" />
 
All options increase costs and force the [[supply curve]] back to the left, detrimental to financial outreach as the quantity of credit falls. Unless financial service providers can absorb the cost increases while maintaining a profit, they may ration credit to those that they can readily support at the prescribed interest rate, refuse credit to other clients and the market moves.<ref name="partnerplatform" />
 
The researcher asks if the story of interest rate caps leading to credit rationing is borne out in reality?<ref name="partnerplatform" />
 
==The use of interest rate caps==
Though conceptually simple, there is much variation in the methodologies used by governments to implement limits on lending rates. While some countries use a vanilla interest rate cap written into all regulations for licensed financial institutions, others have attempted a more flexible approach.<ref name="partnerplatform" />
 
The most simple interest rate control puts an upper limit on any loans from formal institutions. This might simply say that no financial institution may issue a loan at a rate greater than, say, 40% interest per annum, or 3% per month.<ref name="partnerplatform" />
 
Rather than set a rigid interest rate limit, governments in many countries find it preferable to discriminate between different types of loan and set individual caps based on the client and type of loan. The logic for such a variable cap is that it can bite at various levels of the market, minimising consumer surplus.<ref name="partnerplatform" />
 
As a more flexible measure, the interest cap is often linked to the base rate set by the central bank in setting monetary policy meaning the cap reacts in line with market conditions rising with monetary tightening and falling with easing.<ref name="partnerplatform" />
 
• This is the model used in Zambia,<ref>Bank of Zambia press release, available here http://www.boz.zm/publishing/Speeches/Press%20Release%20on%20Interest%20Rates.pdf</ref> where banks are able to lend at nine percentage points over the policy rate and microfinance lending is priced as a multiple of this.<ref name="partnerplatform" />
 
• Elsewhere, governments have linked the lending rate to the deposit rate and regulated the spread that banks and deposit taking MFIs can charge between borrowing and lending rates.
As some banks look to get around lending caps by increasing arrangement fees and other costs to the borrower, governments have often tried to limit the total price of the loan.
Other governments have attempted to set different caps for different forms of lending instrument.<ref name="partnerplatform" />
 
* In South Africa, the National Credit Act (2005) identified eight sub-categories of loan, each with their own prescribed maximum interest rate.
Mortgages(RRx2.2)+5% per annum, Credit facilities(RRx2.2)+10% per annum, Unsecured credit transactions (RRx2.2)+20% per annum,Developmental credit agreements for the development of a small business,RRx2.2)+20% per annum
Developmental credit agreements for low income housing (unsecured)(RRx2.2)+20% per annum,Short term transactions, 5% per month, Other credit agreements(RRx2.2)+10% per annum, Incidental credit agreements 2% per month.<ref name="partnerplatform" />
 
==The impact of interest caps==
 
===Supply side===
 
====Financial outreach====
 
The researcher identified the major argument used against the capping of interest rates as them distorting the market and preventing financial institutions from offering loan products to those at the markets lower end with no alternative [[credit access]]. This counters the financial outreach agenda prevalent in many poor countries today. He claims the debate boils down to the prioritisation of cost of credit over access to credit.<ref name="partnerplatform" />
He identifies a randomised experiment in Sri Lanka <ref>De Mel, Suresh, McKenzie, David John and Woodruff, Christopher M., Returns to Capital in Microenterprises: Evidence from a Field Experiment (May 1, 2007). World Bank Policy Research Working Paper No. 4230</ref> which found the average real return to capital for [[microenterprises]] to be 5.7% per month, well above the typical interest rate of between 2-3% that was provided by [[MFI]]s. Similarly, the same authors found in Mexico<ref>McKenzie, David John and Woodruff, Christopher M., Experimental Evidence on Returns to Capital and Access to Finance in Mexico (March 2008)</ref> that returns to capital were an estimated 20-33% per month, up to five times higher than market interest rates.<ref name="partnerplatform" />
 
His paper states that MFIs have historically been able to expand outreach rapidly by funding network expansion with profits from existing borrowers, meaning existing clients are subsidising outreach to new areas. Capping interest rates can hinder this as MFIs may remain profitable in existing markets but cut investment in new markets and at extremes, government action on interest rates can cause existing networks to retract. In [[Nicaragua]],<ref name="Campion, Anita 2012">Campion, Anita, Ekka, Rashmi Kiran and Wenner, Mark, Interest Rates and Implications for Microfinance in Latin America and the Caribbean, IADB (March 2012)</ref> the governments [[Microfinance Association Law]] in 2001 limited microloan interest to the average of rates set by the banking system and attempted to legislate for widespread debt forgiveness. In response to perceived persecution by government, a number of MFIs and commercial banks withdrew from certain areas hindering the outreach of the financial sector.<ref name="partnerplatform" />
 
The researcher articulates that there is also evidence to suggest capping lending rates for licensed MFIs incentives, NGO-MFIs, and other finance sources for the poor to stay outside of the regulatory system. In [[Bolivia]], the imposition of a lending cap led to a notable fall in the licensing of new entities, .<ref name="Campion, Anita 2012"/> Keeping lenders out of the system should be unattractive to governments as it increases the potential for predatory lending and lack of consumer protection.<ref name="partnerplatform" />
 
====Price rises ====
The paper states there is evidence from developed markets that the imposition of price caps could in fact increase the level of interest rates.<ref name="partnerplatform" />
The researcher came across a study of [[payday loans]] in [[Colorado]],<ref>DeYoung, Robert and Phillips, Ronnie J., Payday Loan Pricing (2009)</ref> the imposition of a price ceiling initially saw reduced interest rates but over a longer period rates steadily rose towards the interest rate cap. This was explained by [[implicit collusion]], by which the price cap set a focal point so that lenders knew that the extent of price rises would be limited and hence collusive behaviour had a limited natural outcome.<ref name="partnerplatform" />
 
===Demand side===
 
====Elasticity of demand====
The paper asserts that inherent in any argument for an upper limit on interest rates is an assumption that demand for credit is [[price inelastic]]. If the inverse were true, and that market demand was highly sensitive to small rises in lending rates then there would be minimal reason for government or regulators to intervene.<ref name="partnerplatform" />
 
The researcher showed that Karlan and Zinman<ref>Karlan, Dean S. and Zinman, Jonathan, Credit Elasticities in Less-Developed Economies: Implications for Microfinance (December 2006)</ref> carried out a randomised control trial in [[South Africa]] to test the received wisdom that the poor are relatively non-sensitive to interest rates. They found around lender’s standard rates, [[elasticities of demand]] rose sharply meaning that even small increases in interest rates lead to a significant fall in the [[credit demand]]. If the poor are indeed this responsive to changes in the interest rate, then it suggests that the practice of unethical monetary loans would not be commercially sustainable and hence there is little need for government to cap interest rates.<ref name="partnerplatform" />
 
====Borrower trends====
The publication explains that the chain behind implementing an interest cap runs that the cap will have an effect on the wider economy through its impact on consumer and business activities and says the key question to be addressed by any cap is whether it bites and therefore impacts borrower behaviour at the margin.<ref name="partnerplatform" />
 
It gives the case study of [[South Africa]] where the [[National Credit Act]] was introduced in 2005 to protect consumers and to guard against reckless lending practices by financial institutions. It was a variable cap that discriminated between eight types of lending instrument to ensure the cap bit at different levels.
 
====Credit constraints and productivity ====
The researcher observed that an [[interest cap]] exacerbates the problem of [[adverse selection]] as it restricts lenders’ ability to price discriminate and means that some enterprises that might have received more expensive credit for riskier business ventures will not receive funding. There has been some attempt to link this constraint in the availability of credit to output. In [[Bangladesh]],<ref>Baqui Khalily, M.A. and Khaleque, M.A., Access to Credit and Productivity of Enterprises in Bangladesh: Is There Causality? (2012)</ref> firms with access to credit were found to be more efficient than firms with a credit constraint. The [[World Bank]] <ref>Khandker, Shahidur R., Samad, Hussain A. and Ali, Rubaba, Does Access to Finance Matter in Microenterprise Growth? Evidence from Bangladesh (January 2013) World Bank Policy Research Working Paper no. 6333</ref>  found credit constraints may reduce profit margins buy up to 13.6% per year.<ref name="partnerplatform" />
 
=== Are interest rates too high?===
The paper shows a detailed 2009 study by [[CGAP]] <ref name="Rosenberg, Richard 2009">Rosenberg, Richard, Gonzalez, Adrian and Narian, Sushma, The New Moneylenders: Are the Poor Being Exploited by High Microcredit Interest Rates? (February 2009)</ref> looked in detail at the four elements of loan pricing for [[MFI]]s and attempted to measure whether the poor were indeed being exploited by excessively high interest rates. Their data is interesting for international comparison, but tell us relatively little about efficiency of individual companies and markets. However they do provide some interesting and positive conclusions, for example, the ratio of operating expenses to total loan portfolio declined from 15.6% in 2003 to 12.7% in 2006, a trend likely to have been driven by the twin factors of competition and learning by doing.<ref name="partnerplatform" /><ref name="Rosenberg, Richard 2009"/>
 
The researcher mentions profitability as there is some evidence of MFIs generating very high profits from microfinance clients. The most famous case was the [[IPO of Compartamos]], a Mexican microfinance organisation that generated millions of dollars in profit for its shareholders. [[Compartamos]] had been accused of immoral money lending (usury), charging clients annualised rates in excess of 85%. The [[CGAP]] study found that the most profitable ten percent of MFIs globally were making returns on equity in excess of 35%.<ref name="partnerplatform" />
 
He proposes that while the international comparison is interesting, it also has practical implications. It provides policymakers with a conceptual framework with which to assess the appropriateness of intervention in credit markets. The question that policymakers must answer if they are to justify interfering in the market and capping interest rates is whether excessive profits or bloated overheads are pushing interest rates to a higher rate than their natural level. This is a subjective regulatory question, and the aim of a policy framework should be to ensure sufficient contestability to keep profits in check before the need for intervention arises.<ref name="partnerplatform" />
 
==Alternative methods of reducing interest rate spreads==
He states that from an economic perspective, input based solutions like interest rate caps or subsidies distort the market and hence it would better to let the market determine the interest rate, and to support certain desirable sectors through other means (such as output based aid. Indeed there are a number of other methods available that can contribute to a reduction in interest rates.<ref name="partnerplatform" />
 
In the short term, soft pressure can be an effective tool – as banks and MFIs need licenses to operate, they are often receptive to influence from the central bank or regulatory authority. However to truly bring down interest rates sustainably, governments need to build a business and regulatory environment and support structures that encourage the supply of financial services at lower cost and hence push the supply curve to the right.<ref name="partnerplatform" />
 
===Market structure===
The paper shows that the paradigm of classical economics runs that competition between financial institutions should force them to compete on the price of loans that they provide and hence bring down interest rates. Competitive forces can certainly play a role in forces lenders to either improve efficiency in order to bring down overheads, or to cut profit margins. In a survey of MFI managers in Latin America and the Caribbean,<ref name="Campion, Anita 2012"/> competition was cited as the largest factor determining the interest rate that they charged. The macro evidence supports this view – Latin countries with the most competitive microfinance industries, such as Bolivia and Peru, generally have the lowest interest rates.<ref name="partnerplatform" />
 
The corollary of this, and the orthodox view, would seem to be that governments should license more financial institutions to promote competition and drive down rates. However it is not certain that more players means greater competition. Due to the nature of the financial sector, with high fixed costs and capital requirements, smaller players might be forced to levy higher rates in order to remain profitable. Weak businesses that are inefficiently run will not necessarily add value to an industry and government support can often be misdirected to supporting bad businesses. Governments should be willing to adapt and base policy on a thorough analysis of the market structure, with the promotion of competition, and the removal of unnecessary barriers to entry such as excessive red tape, as a goal.<ref name="partnerplatform" />
 
===Market information===
The evidence the researcher suggests that learning by doing is a key factor in building up efficiency and hence lowering overheads and hence interest rates. Institutions with a decent track record are better able to control costs and more efficient at evaluating loans while a larger loan book will generate economies of scale. More established businesses should also be able to renegotiate and source cheaper funds, again bringing down costs. In China, the government supports the financial sector by setting a ceiling on deposits and a floor on lending rates meaning that banks are able to sustain a minimum level of margin. Following an international sample of MFIs, there is clear evidence from the Microfinance Information Exchange <ref>http://www.themix.org/publications/microbanking-bulletin/2011/05/microfinance-efficiency</ref> (MIX) that operating expenses fell as a proportion of gross loan portfolio as businesses matured.<ref name="partnerplatform" />
 
The implication of this is that governments would be better off addressing the cost structures of financial institutions to allow them to remain commercially sustainable in the longer term. For example, government investment in credit reference bureaus and collateral agencies decreases the costs of loan appraisal for banks and MFIs. Supporting product innovation, for example through the use of a financial sector challenge fund, can bring down the cost of outreach and government support for research and advocacy can lead to the development of demand-led products and services. The FinMark Trust is an example of donor funds supporting the development of research and analysis as a tool for influencing policy.<ref name="partnerplatform" />
 
===Demand side support===
The researcher states that Government can help to push down interest rates by promoting transparency and financial consumer protection. Investment in financial literacy can strengthen the voice of the borrower and protect against possible exploitation. Forcing regulated financial institutions to be transparent in their lending practices means that consumers are protected from hidden costs. Government can publish and advertise lending rates of competing banks to increase competition. Any demand side work is likely to have a long lead time to impact but it is vital that even if the supply curve does shift to the right that the demand curve follows it.<ref name="partnerplatform" />
 
==Conclusion ==
The researcher concludes that there are situations when an interest rate cap may be a good policy decision for governments. Where insufficient credit is being provided to a particular industry that is of strategic importance to the economy, interest rate caps can be a short term solution. While often used for political rather than economic purposes, they can help to kick start a sector or incubate it from market forces for a period of time until it is commercially sustainable without government support. They can also promote fairness – as long as a cap is set at a high enough level to allow for profitable lending for efficient financial institutions to SMEs, it can protect consumers from usury without significantly impacting outreach. Additionally, financial outreach is not an end in itself and greater economic and social impact might result from cheaper credit in certain sectors rather than greater outreach. Where lenders are known to be very profitable then it might be possible to force them to lend at lower rates in the knowledge that the costs can be absorbed into their profit margins. Caps on interest rates also protect against usurious lending practices and can be used to guard against the exploitation of vulnerable members of society.<ref name="partnerplatform" />
 
However, he does say that although there are undoubtedly market failures in credit markets, and government does have a role in managing these market failures (and indeed supporting certain sectors), interest rate caps are ultimately an inefficient way of reaching the goal of lower long term interest rates. This is because they address the symptom, not the cause of financial market failures. In order to bring down rates sustainably, it is likely that governments will need to act more systemically, addressing issues in market information and market structure and on the demand side and ultimately supporting a deeper level of financial sector reform.<ref name="partnerplatform" />
 
==Compare==
*[[Interest rate swap]]
 
==References==
{{Reflist}}
*{{cite book | title = Interest Rate Models - Theory and Practice with Smile, Inflation and Credit| author = Damiano Brigo, Fabio Mercurio | publisher = Springer Verlag | year = 2001 | edition = 2nd ed. 2006 | isbn = 978-3-540-22149-4}}
 
==External links==
*[http://www.financial-edu.com/basic-fixed-income-derivative-hedging.php Basic Fixed Income Derivative Hedging] - Article on Financial-edu.com.
*[http://www.wilmott.com/pdfs/050118_hagan.pdf Convexity Conundrums] by Patrick Hagan
*[http://wwz.unibas.ch/fileadmin/wwz/redaktion/finance/HS09/FOPT_2_090924.pdf Martingales and Measures: Black's Model] Dr. Jacqueline Henn-Overbeck, [[University of Basel]]
*[https://www.ma.utexas.edu/users/mcudina/Lecture24_3.pdf Bond Options, Caps and the Black Model] Dr. Milica Cudina, [[University of Texas at Austin]]
*[http://lombok.demon.co.uk/financialTap/options/bond/shortterm Online Caplet And Floorlet Calculator] Dr. Shing Hing Man, Thomson Reuters Risk Management
*[http://www.lancasterpollard.com/news/TCI-Summer-2010-fe-intro-to-caps-floors-collars-swaptions Introduction to Caps, Floors, Collars and Swaptions]
 
[[Category:Derivatives (finance)]]

Latest revision as of 04:03, 20 April 2014

Some users of computer are aware which their computer become slower or have some errors after using for a while. But most folks don't recognize how to speed up their computer plus some of them don't dare to operate it. They always find certain experts to keep the computer inside superior condition yet they have to invest certain cash on it. Actually, we can do it by yourself. There are many registry cleaner software which there are 1 of them online. Some of them are free and you merely should download them. After installing it, this registry cleaner software might scan the registry. If it found these mistakes, it will report we and you can delete them to keep the registry clean. It is easy to work plus it happens to be the best means to repair registry.

Many of the reliable businesses can offer a full income back guarantee. This means that you have the chance to receive a cash back when you find the registry cleaning has not delivered what we expected.

Over time the disk could furthermore get fragmented. Fragmentation causes your computer to slow down because it takes windows much longer to locate a files location. Fortunately, a PC has a built inside disk defragmenter. We can run this program by clicking "Start" - "All Programs" - "Accessories" - "System Tools" - "Disk Defragmenter". You usually have the option to choose which forces or partition you need to defragment. This action can take we some time so it is very advised to do this on a regular basis thus because to avoid further fragmentation and to accelerate your windows XP computer.

How to fix this problem is to initially reinstall the program(s) causing the mistakes. There are a lot of different programs which use this file, however, one may have placed their own faulty version of the file onto a system. By reinstalling any programs which are causing the error, you will not merely let the PC to run the program correctly, but a fresh file is placed onto a program - exiting your computer running because smoothly because possible again. If you try this, and find it refuses to work, then you need to look to update a program & any software you have on a PC. This will probably update the Msvcr71.dll file, allowing a computer to read it correctly again.

Another thing you need to check is whether or not the registry reviver system that you are considering has the ability to detect files plus programs that are good. One of the registry cleaner programs you might try is RegCure. It is helpful for speeding up plus cleaning up issues on the computer.

The initial thing we should do is to reinstall any system which shows the error. It's typical for several computers to have particular programs which require this DLL to show the error when you try plus load it up. If you see a certain system show the error, you must first uninstall which program, restart a PC plus then resinstall the system again. This should replace the damaged ac1st16.dll file plus remedy the error.

Your registry is the region all a important configurations for hardware, software and consumer profile configurations plus needs are stored. Every time 1 of these elements is changed, the database then starts to expand. Over time, the registry can become bloated with unwanted files. This causes a general slow down nevertheless in extreme situations will result significant tasks and programs to stop working all together.

What I would recommend is to look on your for registry cleaners. We can do this with a Google look. When you find goods, look for reviews and testimonials about the product. Then you can see how others like the product, and how perfectly it functions.