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Archive for the ‘CFA’ Category

There are 2 Measures that explain a Bond’s Price.

1. YTM Measure: This is ONE/SINGLE/SAME discount rate, that you use, to discount ALL future cashflows from a Bond, such that the result equals its current Market Price. And because you are using ONE/SINGLE/SAME discount rate for all its cashflows, it gives rise to the assumption that you are going to hold the bond till maturity and you will re-invest any cash that you get from it in between, at that same interest rate (discount rate / YTM).

2. SPOT RATE Measure: That is, you apply ” DIFFERENT “ Discount Rates for your periodic cashflows from your bond, such that after all discounting your result is same as the current Market Price of that Bond.

Now, after knowing the 2 Measures, the 2 Spreads are derived from these 2 Measures.

1. Nominal Spread: (based on YTM measure) It is the difference between your Bond’s YTM with a Treasury Bond’s YTM of the same maturity.

2. Z-Spread: (based on Spot Rate Measure) It is a constant number, that you add to various Treasury Spot Rates, to use in discounting your various cashflows from your Bond to get to its Market Price.

Basically, both these spreads are trying to measure Risks associated with that Bond as compared to a Treasury (risk free) bond.

Hope this helps.

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ETF Creation
The creation and redemption process for ETF shares is almost the exact opposite of that of mutual fund shares.

Investing in mutual funds

  • Investors send cash to the fund company,
  • Fund Company uses that cash to purchase securities and in turn issue additional shares of the fund.
  • When investors wish to redeem their mutual fund shares, the shares are returned to the mutual fund company in exchange for cash.

The creation of an ETF, however, does not involve cash.

The process

  • Begins when a prospective ETF manager (known as a sponsor) files a plan with the SEC to create an ETF.
  • The plan is then approved by SEC
  • The sponsor forms an agreement with an authorized participant, generally a market maker, specialist or large institutional investor, who is empowered to create or redeem ETF shares. (In some cases, the authorized participant and the sponsor are the same).
  • The authorized participant borrows shares of stock, often from a pension fund, and places those shares in a trust, and uses them to form creation units of the ETF.
  • Creation units are bundles of stock varying from 10,000 to 600,000 shares, but 50,000 shares is what’s commonly designated as one creation unit of a given ETF.
  • The trust provides shares of the ETF – which are legal claims on the shares held in the trust (the ETFs represent tiny slivers of the creation units) – to the authorized participant.

Because this transaction is an in-kind trade – that is, securities are traded for securities (the authorized participant provides shares of stock to the trust and the trust in turn provides ETF shares to the authorized participant) and no cash changes hands – there are no tax implications.

  • Once the authorized participant receives the ETF shares, the shares are then sold to the public on the open market just like shares of stock.
  • When ETF shares are bought and sold on the open market, the underlying securities that were borrowed to form the creation units remain in the trust account.
  • The creation units are not impacted by the transactions that take place on the market when ETF shares are bought and sold.
  • The trust generally has little activity beyond paying dividends from the stock held in the trust to the ETF owners and providing administrative oversight

ETF Redemptions
When investors want to sell their ETF holdings, they can do so by one of two methods.

  1. To sell the shares on the open market. Generally the option chosen by most individual investors.
  2. To gather enough shares of the ETF to form a creation unit

–       Exchange the creation unit for the underlying securities.

–       This option is generally only available to institutional investors due to the large number of shares required to form a creation unit.

–       When these investors redeem

–       The creation unit is destroyed and the securities are turned over to the redeemer.

–        The beauty of this option is in its tax implications for the portfolio.

  • When mutual fund investors redeem shares from a fund, all shareholders in the fund are affected by tax burden because to redeem the shares, the mutual fund may have to sell the securities it holds, realizing the capital gain, which is subject to tax.
  • ETFs minimize this scenario by paying large redemptions with shares of stock.
  • When the redeemer sells the shares of stock on the open market, any gain or loss incurred has no impact on the ETF. In this manner, investors with smaller portfolios are protected from the tax implications of trades made by investors with large portfolios.

The Role of Arbitrage
Critics of ETFs often cite the potential for ETFs to trade at a share price that is not aligned with the value of the underlying securities. To help us understand this concern, a simple representative example best tells the story.

Assume an ETF is made up of only two underlying securities:

  • Security A, which is worth $1 per share
  • Security B, which is also worth $1 per share

In this example, most investors would expect one share of the ETF to trade at $2.00 per share (the equivalent worth of Security A and Security B). While this is a reasonable expectation, it is not always the case. It is possible for the ETF to trade at $2.02 per share or $1.98 per share or some other value.

If the ETF is trading at $2.02, investors buying shares of the ETF are paying more for the shares than the underlying securities are worth. This would seem to be a dangerous scenario for the average investor, but in reality, it isn’t a major problem because of arbitrage trading.

How arbitrage sets the ETF back into equilibrium.

  • The trading price of an ETF is established at the close of business each day, just like any other mutual fund.
  • ETF sponsors also announce the value of the underlying shares on a daily basis. When the price of the ETF deviates from the value of the underlying shares, the arbitragers spring into action.
  • If the underlying securities are trading at a lower price than the ETF shares, arbitragers buy the underlying securities, redeem them for creation units, and then sell the ETF shares on the open market for a profit.
  • If underlying securities are trading at higher values than the ETF shares, arbitragers buy ETF shares on the open market, form creations units, redeem the creation units in order to get the underlying securities, and then sell the securities on the open market for a profit.
  • The actions of the arbitragers set the supply and demand of the ETFs back into equilibrium to match the value of the underlying shares.

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The Big Difference

The main difference between an Exchange Traded Fund (ETF) and an Index fund is that an ETF can be traded on a stock exchange like a stock. You can buy or sell it at your will, and even short it.

As opposed to this, an Index fund cannot be bought from a stock exchange and has to be directly purchased from the mutual fund sponsor. You will not be able to trade it as freely as an ETF.

The Costs

Apart from this one difference listed above, there are no concrete differences between an Index Fund and an ETF tracking the same index as far as the retail investor is concerned.

An ETF may have lower costs (like no entry or exit loads) than an index fund, but you pay a bid-ask spread every time you buy an ETF which is non-existent in an Index fund. So, it can’t be said that one is cheaper than the other.

As far as comparison in returns is concerned, it is not a fair comparison to match one against the other so you can’t really say which one is better.

Warren Buffet’s view

According to this news article Warren Buffet tends to favor low cost Index Funds over ETFs. His rationale is very interesting. He says that ETFs present a temptation for retail investors to buy and sell very frequently and incur trading costs.

Index funds have no such temptations and will turn out to be cheaper and more profitable in the long run. According to Buffet, “I have nothing against ETFs, but I really think an index fund that just charges a few basis points for management is pretty hard to beat. You put it away, you have nobody encouraging you to trade it next week or next month … your broker isn’t going to be on you.”

Conclusion

If you were thinking of buying an ETF or an Index fund, then in all probability, you do have a sector that you want to buy in or you may just want to but the S&P 500. In such a scenario, it is best to look at various schemes and find out the one with the lowest cost.

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Picked up from some blog …. not my creation 🙂

What are some examples of CFA related professions:

  • Equity (stock) analysis
    • Examples of companies are any major investment bank, Standard and Poors, Value Line, etc.
  • Credit (bond) analysis
    • Standard and Poors, Moody’s, Fitch Ratings, DBRS
  • Mergers, acquisitions, and divestitures
    • Any major investment bank, namely Goldman Sachs, JP Morgan Chase, and Lehman Brothers. There are also a number of boutique M&A firms.
  • Investment banking
  • Private equity
  • Real estate investing
    • Vornado, Equity Office Properties, Equity Residental,Brookfield Properties
  • Pension & Endowment management/consulting
  • Private wealth management (private banking)
    • All major investment banks, Mellon Financial, Stanford Financial, US Trust
  • Hedge funds
    • Bridgewater, D.E. Shaw, SAC Capital Partners, etc.
  • Mutual funds
    • Fidelity, American Funds (a Capital Group Company), Vanguard, etc.
  • Economic consulting
    • NERA, LECG
  • Tax and transaction consulting (i.e., accounting firm)
    • KPMG, Deloitte & Touche, PriceWaterhouseCoopers, Ernst & Young, Grant Thornton, etc.

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Sampling error of the mean = sample mean – population mean  –  μ

The distribution of these estimates of the mean is the sampling distribution of the mean

Central Limit Theorem

Mean of Sample Distribution = μ

Variance of distribution of sample mean = σ²/N    where N > 30

Standard Error of the sample mean is the standard deviation of the distribution of the sample mean.

SE_\bar{x}\ = \frac{s}{\sqrt{n}} or     SD_\bar{x}\ = \frac{\sigma}{\sqrt{n}}

s is the sample standard deviation ( if σ is not known )

n is the size (number of observations) of the sample.

σ is the standard deviation of the population.

“As the sample size increases , the sample mean gets closer , on average , to the true mean of the population”

“The distribution of the sample means about the population mean gets smaller and smaller, so the standard error of the sample mean decreases”

Point Estimate : Examples include mean , variance , etc

Confidence interval Estimates  = Point Estimates ± (reliability factor * Standard Error)

where reliability factor = the probability that the point estimate falls in the confidence interval  ( 1 – α)

Standard Error = Std Error of the point estimate

T – Distribution

Symmetrical Distribution centred about zero

Flatter and has thicker tails than the Standard Normal Distribution

hence hypothesis testing using t-distribution makes it more difficult to reject the null relative to hypothesis testing using the z-distribution.

Normal Distribution with a known variance =  ± Z α/2  σ/ root(n)

Normal Distribution with unknown variance n > 30  = ± Z α/2  σ/ root(n)

Normal Distribution with unknown variance n < 30  =  ± T α/2  σ/ root(n)

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