TOPICS IN RETURN MEASUREMENT & Adjustments to Prior Period Returns Flashcards
Active investors have two ways to act on a view on the current value of a security and potentially earn a return:
If the view is that the security is undervalued, purchase it and earn a gain if it goes up in value.
If the view is that the security is overvalued, sell it short and earn a gain if it goes down in value.
Define short selling
Short Selling
Short selling is used by investors to profit from a negative view on a stock. Although not all instruments can be sold short and shorting is restricted in some markets, strategies using short selling are of great interest to many investors.
The 1st stage of short selling is:
The investor creates an account with a prime broker and deposits $1,000 cash. Prime brokers provide services required to create the short segment of a portfolio. The prime broker facilitates short selling by identifying long owners who are willing to lend their securities. The prime broker may be affiliated with the custodian bank holding the investor’s long securities and cash, or it may be a separate firm
The 2nd stage of short selling is:
A portion of the deposited cash—in this case, $900—is used to purchase Stock L, which the investor expects to increase in value. The investor now has a long position in Stock L. The rest of the cash, $100, is held as a liquidity buffer because the prime broker is aware of the investor’s intention to hold a short position. The liquidity buffer or margin is available to cover margin calls if the value of the short securities goes up instead of down. Margin is required because a short position has theoretically unlimited loss potential. As the value of a short security goes up, the prime broker will demand additional cash collateral from the short seller in the form of periodic margin calls.
The 3rd stage of short selling is:
The prime broker identifies holders of the securities that the investor wants to sell short and in this case borrows $900 worth of Stock S. The investor now has a short position in Stock S. In this example, Stock S does not pay a dividend while it is held short. If a stock were to pay a dividend while held short, then the short seller would be responsible for paying the dividend to the lender. (In this case the calculation of the return on the short position would account for the cost of reimbursing the dividend to the lender.)
The 4th stage of short selling is:
The broker then sells the stocks, with the short sale proceeds going to the lender or the lender’s agent (typically a bank) as collateral. This also motivates the short seller to return the borrowed securities. Long investors who choose to lend their securities do so in order to earn a small incremental return on their long position. When short positions are collateralized with cash, the broker invests the cash collateral. A percentage of the interest earned on the invested collateral is returned to the borrower as a fee rebate. The difference between the income on the cash collateral and the income rebated to the borrower is shared between the lender and the lending agent. When securities, rather than cash, are accepted as collateral, the borrower pays a fee that is split between broker and lender. Collateral is carefully managed, because in exchange for the income from reinvested collateral, the lender and the broker assume the risks of lending securities. Risks to the security lender include (1) that the value of the collateral declines and does not cover the value of the securities and (2) that the borrower does not return the securities.
Define margin call and fee rebate?
Margin Call: A request for the short seller to deposit additional funds to bring their balance up to the initial margin.
Fee Rebate: In a short sale, the portion of the income earned on the invested collateral that is returned to the borrower of shares.
Any portfolio that uses both long positions and short selling can be called a long–short portfolio, Define Long- short portfolio
A portfolio that contains both long positions in assets expected to rise in value and short positions in assets expected to fall in value.
Long–short strategies that match long and short risk exposures are called market-neutral strategies. Define market neutral
They are labeled “market-neutral” because they intend to eliminate exposure to the market and earn gains only by exploiting security- or sector-specific factors. Market-neutral strategy returns are theoretically uncorrelated with the market; in other words, they should have a beta close to zero
Another common strategy using short selling is a short extension strategy. Give an example.
A portfolio consisting of a long position of 100 plus x percent and a short position of x percent.
For example, a 130/30 strategy is leveraged on the long side to 130% of the market exposure, and this is offset by short positions worth 30% of the gross portfolio exposure. If the portfolio is worth $100, then there are approximately $130 in long positions and $30 in short positions. This strategy, in effect, generates $160 exposure to the manager’s stock-picking ability with a $100 net market exposure.
The first step in performance measurement is to take portfolio valuations as inputs and then calculate single- and multi-period returns. When short positions are present, we need to consider the following:
Return calculation for long positions in segments and securities (segments are groups of securities within a portfolio—e.g., countries, sectors, or industries)
Return calculation for short positions in segments and securities
As you will see, it is important to use a convention for describing performance in the presence of short positions. Our convention is to report
a return on the underlying asset as positive if the asset increases in value, regardless of whether it is held long or short, and
a return on the underlying asset as negative if the asset decreases in value, regardless of whether it is held long or short.
The next step is to communicate performance taking into account whether the security is held long or short in the portfolio. Using the previous example, if the portfolio had a long position in the security, then the portfolio enjoyed a positive contribution due to the 10% return in the underlying security asset.
True/False
The next step is to communicate performance taking into account whether the security is held long or short in the portfolio. Using the previous example, if the portfolio had a long position in the security, then the portfolio enjoyed a positive contribution due to the 10% return in the underlying security asset.
The presence of short positions means that the calculation of contributions to return requires special consideration:
First, the weights need to be calculated such that they add up to 100%. To do this, we sum the portfolio values—long positions with positive signs and short positions with negative signs.
Then, market values are converted into weights by dividing each position value by the total portfolio market value. Because there are short positions, the long position weights will exceed 100%.
Next, again assuming a convention of negative weights representing short positions and security returns representing the return on the underlying security, contribution to return is calculated as weight times return. The underlying security held short fell in value by −16.7% which, multiplied by the beginning weight of −30%, leads to a positive contribution of 5% at the portfolio level. In this example, the value of the portfolio increased from $100 to $105 over the period, and the entire gain is made up of the positive contribution to return from the short segment.
Which of these factors is not a consideration when calculating the return on a portfolio that includes short positions?
a. Securities lending fee rebate
b. The probability of a margin call
c. Interest on the collateral supporting the short positions
B is correct. The probability of a margin call is not considered in the calculation of portfolio return. The securities lending fee rebate is included because any lending fees that are shared by the portfolio count as income over the period. The interest on collateral supporting the short positions is explicitly included in the portfolio return calculation because the interest is income earned on the positions in the portfolio over the period.
A portfolio has the following transactions:
a. The portfolio manager purchases 10 shares of Security A at $5.00 per share and 10 shares of Security B at $5.00 per share.
b. The portfolio manager shorts 10 shares of Security C at $1.50 per share and 10 shares of Security D at $1.50 per share.
c. $1 of interest accrues on the cash collateral posted to cover the short positions.
The following are the end-of-period per-share prices: Security A: $6.00 Security B: $4.00 Security C: $1.60 Security D: $1.30 The portfolio return is closest to: −2.00% 1.00%. 2.00%.
C is correct. The return is 2% because the total value of the portfolio increased from $100 to $102. There is $30 in collateral to cover $30 in short positions [(10 × 1.50) + (10 × 1.50)]. The beginning value of $100 is calculated using the prices and positions of the four securities plus the collateral: (10 × 5.00) + (10 × 5.00) − (10 × 1.50) − (10 × 1.50) + 30. The ending value of $102 is calculated as (10 × 6.00) + (10 × 4.00) − (10 × 1.60) − (10 × 1.30) + $30 cash + $1 of interest.
Which of the following is most accurate regarding a portfolio using a 13030 short extension strategy?
a. The portfolio is market-neutral.
b. The portfolio has a net 130% long exposure to its given market.
c. The strategy allows managers to add value by identifying both assets that are expected to perform well and assets that are expected to perform poorly in a given market.
C is correct. The 13030 short extension strategy can go both long and short, enabling the manager to profit from the ability to identify in advance assets that are going to over- or underperform others. A market-neutral strategy would have equal long and short exposures neutralizing its exposure to the underlying market. A 13030 portfolio is in net 100% exposed to the underlying marke
Which of the following is most likely a reason for a long–short equity portfolio to establish ready access to cash?
a. To pay for new short positions
b. To reimburse the lender of a security for dividends
c. If the prices of stocks held short go down, the broker may ask for an increase in collateral.
B is correct. Having ready access to cash facilitates the reimbursement of dividends to the lender of a shorted security (ready cash also helps in meeting margin calls if a stock held short goes up in value and the broker asks for additional collateral). The establishment of a short position generates cash: To create the position, the manager borrows securities and then sells the borrowed securities for cash.
There are two main classes of derivatives:
forward commitments (futures, forwards, and swaps) and contingent claims (options).
Define Forward commitments
Forward commitments are commitments or promises to buy or sell an asset at some specified future date.
Define options
Options give the owner the right, but not the obligation, to buy or sell an asset. Derivatives can be traded on an exchange or over the counter (OTC).
In studying the treatment of derivatives in performance measurement, the standard formulas for return calculation (time-weighted rate of return, unit price method)3 are still valid. T/F
True
In studying the treatment of derivatives in performance measurement, the standard formulas for return calculation (time-weighted rate of return, unit price method)3 are still valid.
Define Notional value
notional market value is the value of the underlying security where changes in the market value of the underlying security would equal changes in the combination of futures and the cash position. The notional market value (also known as notional exposure, or NE) of a futures contract is defined as the value of an underlying security that would cause (approximately) the same change in net realizable value for a given (infinitesimal) change in the price of the underlying security as the change in the combination of futures and the associated cash position
The purpose of calculating the notional exposure is to estimate the economic exposure—that is, the risk of the loss that one experiences if one invests in an asset class. Economic exposure is:
The risk of loss from a position in an asset class
Define a futures contract
A futures contract is a standardized binding contract traded on an exchange between two parties to exchange a specified asset of standardized quantity and quality for a price agreed today with delivery occurring at a specified future date
Valuation approaches for futures contracts are based on a consideration of the cost of carry. Define cost of carry.
The net of the costs and benefits of holding, storing, or “carrying” an asset.
Under the assumption that there are no arbitrage opportunities, the investment in the underlying must deliver the same return as the investment in a futures contract and a cash position corresponding to the notional value of the underlying. Thus, the following conceptual relationship holds:
Futures price=Spot price+Cost of financing−Net Income from underlying
(Cost of financing−Net Income from underlying)= cost of carry
A more precise expression for the price of a futures contract with delivery date T at t (t < T) is given by
Ft=(Bt−E(1+rfin)t˜−t)(1+rfin)T−t
where
Ft = Futures price according to the cost-of-carry approach at t Bi = Price of the underlying at t rfin = Cost of financing on an annual basis E = Income of the underlying (e.g., dividends) t˜ = Date of the cash flow