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59-759: The Nature Heritage Fund is a funding body of the New Zealand Government set up in 1990 for the purchase of land which has significant ecological or landscape value. It is administered by the Department of Conservation , but controlled by the Minister of Conservation . It was initially called the Forest Heritage Fund but the name was changed in 1998 to reflect the need to protect ecosystems other than forests, for example wetlands, tussocklands and shrublands. Funding has declined sharply; while $ 10m per annum

118-702: A business concept would want to accumulate all the necessary resources including capital to venture into a market. Funding is part of the process, as some businesses would require large start-up sums that individuals would not have. These start-up funds are essential to kick-start a business idea, without it, entrepreneurs would not have the ability to carry out their concepts in the business world. Fund management companies gather pools of money from many investors and use them to purchase securities . These funds are managed by professional investment managers, which may generate higher returns with reduced risks by asset diversification . The size of these funds could be as little as

177-422: A business start-up and small business, usually in exchange for convertible debt or ownership equity. They are often among an entrepreneur's family and friends. The funds they provide can be a one-time investment to help the business get off the ground or an ongoing injection to support and carry the company through its difficult early stages. Venture capital is a type of private equity and a form of financing that

236-414: A certain amount of time, usually in a year's time, rewards of the investment will be shared with investors. This makes investors happy and they may continue to invest further. If returns do not meet the intended level, this could reduce the willingness of investors to invest their money into the funds. Hence, the amounts of financial incentives are highly weighted determinants to ensure the funding remains at

295-435: A common form of funding for businesses, individuals, and governments. Equity financing involves raising capital through the sale of shares in an enterprise. Equity financing is essentially the sale of an ownership interest to raise funds for business purposes. This type of financing is typically used by startups and growing businesses to raise capital. Debt financing involves borrowing money to be repaid, plus interest, at

354-416: A corporation normally provide commercial research funding. Whereas, non-commercial research funding is obtained from charities, research councils, or government agencies . Organizations that require such funding normally have to go through competitive selections. Only those that have the most potential would be chosen. Funding is vital in ensuring the sustainability of certain projects. Entrepreneurs with

413-537: A desirable level. Venture Capital (VC) is a subdivision of Private Equity wherein external investors fund small-scale startups that have high growth potential in the long run. Investors receive a portion of the company’s equity in return for the money invested by them. The amount of money that a Venture capital firm can raise is predominantly built on the Principal-agent relationship between the Limited Partners and

472-411: A diversified portfolio will have less variance than the weighted average variance of its constituent assets, and often less volatility than the least volatile of its constituents. Diversification is one of two general techniques for reducing investment risk. The other is hedging . The simplest example of diversification is provided by the proverb " Don't put all your eggs in one basket ". Dropping

531-440: A diversified portfolio can never exceed that of the top-performing investment, and indeed will always be lower than the highest return (unless all returns are identical). Conversely, the diversified portfolio's return will always be higher than that of the worst-performing investment. So by diversifying, one loses the chance of having invested solely in the single asset that comes out best, but one also avoids having invested solely in

590-481: A few millions or as much as multi billions. The purpose of these funding activities is mainly aiming to pursue individual or organization profits. Personal funding involves using personal finances to fund an initiative. This could include savings, personal loans, or funds from friends and family. It is common in the early stages of a business or project when other sources of funding may not be accessible. Corporate funding involves funds provided by corporations, often in

649-413: A function of n {\displaystyle n} , the number of assets. For example, if all assets' returns are mutually uncorrelated and have identical variances σ x 2 {\displaystyle \sigma _{x}^{2}} , portfolio variance is minimized by holding all assets in the equal proportions 1 / n {\displaystyle 1/n} . Then

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708-414: A later date. Common types of debt financing include traditional bank loans, personal loans, bonds, and lines of credit. This form of financing is advantageous because it does not require giving up ownership of the business. One form of guarantee creates a conditional liability to make a payment, whereby the guarantor will pay the principal debt holder fails to do so. Effectively when the liability to make

767-467: A payment is trigged the guarantor becomes a funder. Government could allocate funds itself or through government agencies to projects that benefit the public through a selection process to students or researchers and even organizations. At least two external peer-reviewers and an internal research award committee review each application. The research awards committee would meet some time to discuss shortlisted applications. A further shortlist and ranking

826-526: A portfolio of 20 stocks to go down that much, especially if they are selected at random. If the stocks are selected from a variety of industries, company sizes and asset types it is even less likely to experience a 50% drop since it will mitigate any trends in that industry, company class, or asset type. Since the mid-1970s, it has also been argued that geographic diversification would generate superior risk-adjusted returns for large institutional investors by reducing overall portfolio risk while capturing some of

885-575: A portfolio's return below what it would be if the entire portfolio were invested in the asset with the lowest variance of return, even if the assets' returns are uncorrelated. For example, let asset X have stochastic return x {\displaystyle x} and asset Y have stochastic return y {\displaystyle y} , with respective return variances σ x 2 {\displaystyle \sigma _{x}^{2}} and σ y 2 {\displaystyle \sigma _{y}^{2}} . If

944-479: A small number of assets compared to later investment theories, he nonetheless is recognized as a pioneer of financial diversification. Keynes came to recognize the importance, "if possible", he wrote, of holding assets with "opposed risks [...] since they are likely to move in opposite directions when there are general fluctuations" Keynes was a pioneer of "international diversification" due to substantial holdings in non-U.K. stocks, up to 75%, and avoiding home bias at

1003-520: A test pilot of SOFA began in the Netherlands. A company or an individual may secure a loan to get access to capital. Often borrowers must use a secured loan where assets are pledged as collateral. If the borrower defaults, ownership of the collateral reverts to the lender. Both tangible and intangible assets can be used to secure loans. The use of IP as collateral in IP-backed finance transactions

1062-477: A weighting approach that puts assets in proportion to their relative correlation can maximize the available diversification. "Risk parity" is an alternative idea. This weights assets in inverse proportion to risk, so the portfolio has equal risk in all asset classes. This is justified both on theoretical grounds, and with the pragmatic argument that future risk is much easier to forecast than either future market price or future economic footprint. "Correlation parity"

1121-426: Is q = σ y 2 / [ σ x 2 + σ y 2 ] {\displaystyle q=\sigma _{y}^{2}/[\sigma _{x}^{2}+\sigma _{y}^{2}]} , which is strictly between 0 {\displaystyle 0} and 1 {\displaystyle 1} . Using this value of q {\displaystyle q} in

1180-404: Is increasing in n rather than decreasing. Thus, for example, when an insurance company adds more and more uncorrelated policies to its portfolio, this expansion does not itself represent diversification—the diversification occurs in the spreading of the insurance company's risks over a large number of part-owners of the company. The expected return on a portfolio is a weighted average of

1239-410: Is an extension of risk parity, and is the solution whereby each asset in a portfolio has an equal correlation with the portfolio, and is therefore the "most diversified portfolio". Risk parity is the special case of correlation parity when all pair-wise correlations are equal. One simple measure of financial risk is variance of the return on the portfolio. Diversification can lower the variance of

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1298-457: Is based on a result from John Evans and Stephen Archer. Similarly, a 1985 book reported that most value from diversification comes from the first 15 or 20 different stocks in a portfolio. More stocks give lower price volatility. Given the advantages of diversification, many experts recommend maximum diversification, also known as "buying the market portfolio ". Identifying that portfolio is not straightforward. The earliest definition comes from

1357-404: Is funding used for research-related purposes. It is most often used to describe funding in the fields of technology or social science. The allocation of funds are usually granted based on a per project, department, or institute basis stemming from scope of the research or project. Research funding can be split into commercial and non-commercial allocations. Research and development departments of

1416-463: Is made. Projects are funded and applicants are informed. Econometric evidence shows public grants for firms can create additionality in jobs, sales, value added, innovation and capital. For example, this was shown to be the case for large R&D grants, as well as smaller public grants for the tourism firms or small and medium sized firms in general. Crowdfunding exists in mainly two types, reward-based crowdfunding and equity-based crowdfunding. In

1475-795: Is monotonically decreasing in n {\displaystyle n} . The latter analysis can be adapted to show why adding uncorrelated volatile assets to a portfolio, thereby increasing the portfolio's size, is not diversification, which involves subdividing the portfolio among many smaller investments. In the case of adding investments, the portfolio's return is x 1 + x 2 + ⋯ + x n {\displaystyle x_{1}+x_{2}+\dots +x_{n}} instead of ( 1 / n ) x 1 + ( 1 / n ) x 2 + . . . + ( 1 / n ) x n , {\displaystyle (1/n)x_{1}+(1/n)x_{2}+...+(1/n)x_{n},} and

1534-476: Is now known as "naive diversification", "Talmudic diversification" or "1/n diversification", a concept which has earned renewed attention since the year 2000 due to research showing it may offer advantages in some scenarios. Diversification is mentioned in Shakespeare's Merchant of Venice (ca. 1599): Modern understanding of diversification dates back to the influential work of economist Harry Markowitz in

1593-668: Is provided by firms or funds to small, early-stage, emerging firms that are deemed to have high growth potential or which have demonstrated high growth. Venture capital investments are generally made in exchange for equity in the company. Grants are funds provided by one party, often a government department, corporation, foundation, or trust, to a recipient, typically a nonprofit entity, educational institution, business, or individual. Unlike loans, grants do not need to be repaid. Loans are borrowed sums of money that are expected to be paid back with interest. They can be provided by banks, credit unions, or other financial institutions. Loans are

1652-456: Is the average of the covariances σ i j {\displaystyle \sigma _{ij}} for i ≠ j {\displaystyle i\neq j} and σ ¯ i 2 {\displaystyle {\bar {\sigma }}_{i}^{2}} is the average of the variances. Simplifying, we obtain As the number of assets grows we get

1711-525: Is the subject of a report series at the World Intellectual Property Organization . Withdrawal of funding, or defunding, occurs when funding previously given to an organisation ceases, especially in relation to Governmental funding. Defunding could be as a result of a disagreement or failure to meet set objectives . An example that explains the withdrawal of funding in this case is that of President Trump 's decision to stop funding

1770-653: Is the variance on asset i {\displaystyle i} and σ i j {\displaystyle \sigma _{ij}} is the covariance between assets i {\displaystyle i} and j {\displaystyle j} . In an equally weighted portfolio, x i = x j = 1 n , ∀ i , j {\displaystyle x_{i}=x_{j}={\frac {1}{n}},\forall i,j} . The portfolio variance then becomes: where σ ¯ i j {\displaystyle {\bar {\sigma }}_{ij}}

1829-491: The World Health Organization (WHO) over alleged Coronavirus mismanagement. Diversification (finance) In finance , diversification is the process of allocating capital in a way that reduces the exposure to any one particular asset or risk. A common path towards diversification is to reduce risk or volatility by investing in a variety of assets . If asset prices do not change in perfect synchrony,

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1888-416: The capital asset pricing model which argues the maximum diversification comes from buying a pro rata share of all available assets . This is the idea underlying index funds . Diversification has no maximum so long as more assets are available. Every equally weighted, uncorrelated asset added to a portfolio can add to that portfolio's measured diversification. When assets are not uniformly uncorrelated,

1947-499: The 1950s, whose work pioneered modern portfolio theory (see Markowitz model ). An earlier precedent for diversification was economist John Maynard Keynes , who managed the endowment of King's College, Cambridge from the 1920s to his 1946 death with a stock-selection strategy similar to what was later called value investing . While diversification in the modern sense was "not easily available in Keynes's day" and Keynes typically held

2006-507: The Venture Capital Firm. Self-organized funding allocation (SOFA) is a method of distributing funding for scientific research . In this system, each researcher is allocated an equal amount of funding, and is required to anonymously allocate a fraction of their funds to the research of others. Proponents of SOFA argue that it would result in similar distribution of funding as the present grant system, but with less overhead. In 2016,

2065-423: The asset that comes out worst. That is the role of diversification: it narrows the range of possible outcomes. Diversification need not either help or hurt expected returns, unless the alternative non-diversified portfolio has a higher expected return. There is no magic number of stocks that is diversified versus not. Sometimes quoted is 30, although it can be as low as 10, provided they are carefully chosen. This

2124-514: The asymptotic formula: Thus, in an equally weighted portfolio, the portfolio variance tends to the average of covariances between securities as the number of securities becomes arbitrarily large. The capital asset pricing model introduced the concepts of diversifiable and non-diversifiable risk. Synonyms for diversifiable risk are idiosyncratic risk, unsystematic risk, and security-specific risk. Synonyms for non-diversifiable risk are systematic risk , beta risk and market risk . If one buys all

2183-417: The basket will break all the eggs. Placing each egg in a different basket is more diversified. There is more risk of losing one egg, but less risk of losing all of them. On the other hand, having a lot of baskets may increase costs. In finance, an example of an undiversified portfolio is to hold only one stock. This is risky; it is not unusual for a single stock to go down 50% in one year. It is less common for

2242-425: The belief investors will have time to recover from any downturns. Yet this belief has flaws, as John Norstad explains: This kind of statement makes the implicit assumption that given enough time good returns will cancel out any possible bad returns. While the basic argument that the standard deviations of the annualized returns decrease as the time horizon increases is true, it is also misleading, and it fatally misses

2301-425: The capital can end up at the borrower. The lender can lend the capital to a financial intermediary against interest. These financial intermediaries then reinvest the money against a higher rate. The use of financial intermediaries to finance operations is called indirect finance . A lender can also go to the financial markets to directly lend to a borrower. This method is called direct finance . Research funding

2360-507: The exchange of equity ownership in a company for capital investment via an online funding portal per the Jumpstart Our Business Startups Act (alternately, the "JOBS Act of 2012") (U.S.) is known as equity crowdfunding . Funds can be allocated for either short-term or long-term purposes. In economics funds are injected into the market as capital by lenders and taken as loans by borrowers. There are two ways in which

2419-519: The expected returns on each individual asset: where x i {\displaystyle x_{i}} is the proportion of the investor's total invested wealth in asset i {\displaystyle i} . The variance of the portfolio return is given by: Inserting in the expression for E [ R P ] {\displaystyle \mathbb {E} [R_{P}]} : Rearranging: where σ i 2 {\displaystyle \sigma _{i}^{2}}

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2478-785: The expression for the variance of portfolio return gives the latter as σ x 2 σ y 2 / [ σ x 2 + σ y 2 ] {\displaystyle \sigma _{x}^{2}\sigma _{y}^{2}/[\sigma _{x}^{2}+\sigma _{y}^{2}]} , which is less than what it would be at either of the undiversified values q = 1 {\displaystyle q=1} and q = 0 {\displaystyle q=0} (which respectively give portfolio return variance of σ x 2 {\displaystyle \sigma _{x}^{2}} and σ y 2 {\displaystyle \sigma _{y}^{2}} ). Note that

2537-432: The favorable effect of diversification on portfolio variance would be enhanced if x {\displaystyle x} and y {\displaystyle y} were negatively correlated but diminished (though not eliminated) if they were positively correlated. In general, the presence of more assets in a portfolio leads to greater diversification benefits, as can be seen by considering portfolio variance as

2596-523: The form of investments or loans. Corporations might provide funding for other businesses, especially in industries where there is a strategic benefit. Government funding is provided by local, state, or federal governments to support specific projects or activities. This type of funding can come in the form of grants, subsidies, or loans. Government funding is often aimed at promoting public policies or supporting economic growth and development. Angel investors are affluent individuals who provide capital for

2655-400: The former, small firms could pre-sell a product or service to start a business whereas in the latter, backers buy a certain amount of shares of a firm in exchange of money. As for reward-based crowdfunding, project creators would set a funding target and deadline. Anyone who is interested can pledge on the projects. Projects must reach its targeted amount in order for it to be carried out. Once

2714-485: The fraction q {\displaystyle q} of a one-unit (e.g. one-million-dollar) portfolio is placed in asset X and the fraction 1 − q {\displaystyle 1-q} is placed in Y, the stochastic portfolio return is q x + ( 1 − q ) y {\displaystyle qx+(1-q)y} . If x {\displaystyle x} and y {\displaystyle y} are uncorrelated,

2773-444: The gains from diversification. Their approach was to consider a population of 3,290 securities available for possible inclusion in a portfolio, and to consider the average risk over all possible randomly chosen n -asset portfolios with equal amounts held in each included asset, for various values of n . Their results are summarized in the following table. The result for n =30 is close to n =1,000, and even four stocks provide most of

2832-506: The higher rates of return offered by the emerging markets of Asia and Latin America. If the prior expectations of the returns on all assets in the portfolio are identical, the expected return on a diversified portfolio will be identical to that on an undiversified portfolio. Some assets will do better than others; but since one does not know in advance which assets will perform better, this fact cannot be exploited in advance. The return on

2891-403: The individual business lines have little to do with one another, yet the company is attaining diversification from exogenous risk factors to stabilize and provide opportunity for active management of diverse resources. The argument is often made that time reduces variance in a portfolio: a "time diversification". A common belief is younger investors should avoid bonds and emphasize stocks, due to

2950-651: The literature on the fallacy of time diversification have been from Paul Samuelson , Zvi Bodie , and Mark Kritzman. Diversification is mentioned in the Bible , in the book of Ecclesiastes which was written in approximately 935 B.C.: Diversification is also mentioned in the Talmud . The formula given there is to split one's assets into thirds: one third in business (buying and selling things), one third kept liquid (e.g. gold coins), and one third in land ( real estate ). This strategy of splitting wealth equally among available options

3009-483: The point, because for an investor concerned with the value of his portfolio at the end of a period of time, it is the total return that matters, not the annualized return. Because of the effects of compounding, the standard deviation of the total return actually increases with time horizon. Thus, if we use the traditional measure of uncertainty as the standard deviation of return over the time period in question, uncertainty increases with time. Three notable contributions to

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3068-584: The portfolio return's variance equals var [ ( 1 / n ) x 1 + ( 1 / n ) x 2 + . . . + ( 1 / n ) x n ] {\displaystyle {\text{var}}[(1/n)x_{1}+(1/n)x_{2}+...+(1/n)x_{n}]} = n ( 1 / n 2 ) σ x 2 {\displaystyle n(1/n^{2})\sigma _{x}^{2}} = σ x 2 / n {\displaystyle \sigma _{x}^{2}/n} , which

3127-710: The presence of per-asset investment fees, there is also the possibility of overdiversifying to the point that the portfolio's performance will suffer because the fees outweigh the gains from diversification. The capital asset pricing model argues that investors should only be compensated for non-diversifiable risk. Other financial models allow for multiple sources of non-diversifiable risk, but also insist that diversifiable risk should not carry any extra expected return. Still other models do not accept this contention. In 1977 Edwin Elton and Martin Gruber worked out an empirical example of

3186-471: The projects ended with enough funds, projects creators would have to make sure that they fulfill their promises by the intended timeline and delivery their products or services. To raise capital , you require funds from investors who are interested in the investments . You have to present those investors with high-return projects. By displaying high-level potentials of the projects, investors would be more attracted to put their money into those projects. After

3245-439: The reduction in risk compared with one stock. In corporate portfolio models, diversification is thought of as being vertical or horizontal. Horizontal diversification is thought of as expanding a product line or acquiring related companies. Vertical diversification is synonymous with integrating the supply chain or amalgamating distributions channels. Non-incremental diversification is a strategy followed by conglomerates, where

3304-544: The stocks in the S&;P 500 one is obviously exposed only to movements in that index . If one buys a single stock in the S&;P 500, one is exposed both to index movements and movements in the stock based on its underlying company. The first risk is called "non-diversifiable", because it exists however many S&P 500 stocks are bought. The second risk is called "diversifiable", because it can be reduced by diversifying among stocks. In

3363-435: The variance of portfolio return is var ( q x + ( 1 − q ) y ) = q 2 σ x 2 + ( 1 − q ) 2 σ y 2 {\displaystyle {\text{var}}(qx+(1-q)y)=q^{2}\sigma _{x}^{2}+(1-q)^{2}\sigma _{y}^{2}} . The variance-minimizing value of q {\displaystyle q}

3422-518: The variance of the portfolio return if the assets are uncorrelated is var [ x 1 + x 2 + ⋯ + x n ] = σ x 2 + σ x 2 + ⋯ + σ x 2 = n σ x 2 , {\displaystyle {\text{var}}[x_{1}+x_{2}+\dots +x_{n}]=\sigma _{x}^{2}+\sigma _{x}^{2}+\dots +\sigma _{x}^{2}=n\sigma _{x}^{2},} which

3481-833: Was allocated in the early 2000s, this has reduced to $ 2m per year in 2016. In its first 25 years, the fund has purchased and protected 341,881 hectares (844,810 acres) of land, which represents 1.3% of New Zealand's land area. Since its inception, the fund has been chaired by Di Lucas , a landscape architect from Christchurch . This article about an organisation in New Zealand is a stub . You can help Misplaced Pages by expanding it . Funding body Sources of funding include credit , venture capital , donations , grants , savings , subsidies , and taxes . Funding methods such as donations, subsidies, and grants that have no direct requirement for return of investment are described as " soft funding " or " crowdfunding ". Funding that facilitates

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