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## Equity Swaps: Their purpose and mechanics

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**Example**Suppose that a mutual fund manager for a well-diversified asset allocation fund believes that the U.S. equity market will perform poorly over the next year. Therefore, it wishes to reduce the equity exposure of its fund by $100 million. This money will be invested in an investment grade bond with a fixed rate. What are the fund’s choices?: 1) Sell $100 million worth of equity and reinvest in a fixed-rate bond. Face all the commissions and taxes associated with this choice. 2) Enter into an Equity Swap, on a $100 million notional value, where it would pay the S&P500 return and receive a fixed rate. (fund’s prospectus must allow for such transactions).**What is an Equity Swap?**• A Financial agreement that allows an investor to “swap” one asset or asset class return for another. • Swap a variable return for a fixed return • Domestic Mid-Cap Equity for fixed “X%” return • Swap a variable return for another variable return • Domestic Large Cap for Domestic Small Cap • Foreign Equity for Domestic Equity • Domestic Equity for Domestic Bond**Equity Swaps vs. Interest Rate Swaps**• Interest Rate and Currency Swaps are based on interest rates, while Equity Swaps are based on rates of return. • This leads to two important mechanical differences: • The current variable payment is not known until the end of the current period. • Equity Swaps may involve one party making BOTH payments to the other party.**Why do these differences occur?**• Interest Rate Swaps have interest rates as their “variable” rate. An example might be LIBOR. The variable payment in an interest rate swap is calculated based on LIBOR (in this example) at the end of the last evaluation period. So, the current period’s variable payment is known at the start of the current period. We saw this in our swap example. • Equity Swaps have the return of an asset (or asset class) as their “variable” rate. An example might be the return of the S&P500. Since the return of the S&P500 isn’t known until the END of the current period, we can’t calculate the variable payment at the beginning of the period. • Simply put, interest rates are known in advance. Returns are not. • Since an Equity Swap can be negative when the asset class in question loses money, you can have a situation in which Party 1 pays a fixed positive amount to Party 2 and Party 2 “pays” a negative amount to Party 1. This negative payment means that Party 1 pays that amount, too.**Back to our Example from the 1st slide (Variable for Fixed**Rate Equity Swap) • Suppose that the fund entered into the following Equity Swap with Morgan Stanley (MS): • On a notional $100 million value, the fund will pay the S&P500 index return, while receiving a 6.5% fixed rate from MS. Payments are to be made at the end of March, June, September and December. • Actual Day count / 365 days pricing convention will be in place. • If it is now 12/31/09, and the S&P500 is at a level of 1100, what would the stream of cash flows look like over the coming year?**Equity Swap Cash Flows**• Fixed 3/31 $100 million x 0.065(90/365) = $1,602,740 • Fixed 6/30 $100 million x 0.065(91/365) = $1,620,548 • Fixed 9/30 $100 million x 0.065(92/365) = $1,638,356 • Fixed 12/31 $100 million x 0.065(92/365) = $1,638,356 • Variable 3/31 $100 million x Return of the index during 1st Qtr of Year • Variable 6/30 $100 million x Return of the index during 2nd Qtr of Year • Variable 9/30 $100 million x Return of the index during 3rd Qtr of Year • Variable 12/31 $100 million x Return of the index during 4th Qtr of Year**Example (continued)**• What happens if on 3/31/2010, the S&P500 closes at 1154? • Fund receives $1,602,740 • Fund pays 100 million x (1154/1100 – 1) = 4,909,091 • Fund pays net amount of $3,306,351 • What about 6/30/2010, if the S&P500 closes at 1192? • Fund receives $1,620,548 • Fund pays 100 million (1192/1154 – 1) = -3,292,894 • Fund pays net amount of $1,672,346**Example (continued)**• Now suppose that on 9/30/2010 and 12/31/2010, the S&P closes at levels of 1085 and 1050, respectively? • 9/30: • Fund receives $1,638,356 • Fund pays 100 million (1085/1192 – 1) = $ -8,976,510 • Fund receives net amount of $10,614,866 • 12/31: • Fund receives $1,638,356 • Fund pays 100 million (1050/1085 – 1) = $ -3,225,807 • Fund receives net amount of $4,864,163**Equity Swap Mechanics:Is this a perfect hedge? No (Portfolio**equities may not be same as S&P500) Return on S&P 500 Asset Allocation Fund Morgan Stanley Fixed Rate of 6.5% Dividends & Capital Gains Portfolio of U.S. Equities in the Fund Net Effect: Fund converts an equity position into a fixed income position**Example: Variable-for-variable rate**• A mutual fund has arranged the following equity swap with a dealer. • On a notional $100 million value, the fund will pay the returns from a small-cap stock index, and the dealer agrees to pay the mutual fund based on the returns of a large-cap stock index. • The swaps are to be made on the basis of 182 and 365 days in a year.**What is the net payment if…**• Beginning index values: • Small Cap: 1805.20; Large Cap: 1155.14 • Day 182’s index values: • Small Cap: 1796.15; Large Cap: 1148.91 • Fund pays 100 million (1796.15/1805.20 – 1) = -501,329 • Dealer pays 100 million (1148.91/1155.14 - 1) = -539,329 • Net effect: $38,000… fund pays to dealer**Some practice…**• Revisit the last example, but instead of a variable-to-variable equity swap, the terms were: • Fund pays Small-cap return; Dealer pays fixed rate of 6.75%. • All other terms are the same ($100 million notional value, 182 and 365 day basis) • What would be the net payment on day 182?**Some practice…**• An asset manager wishes to reduce her exposure to fixed-income securities and increase her exposure to large-cap stocks over the next year. Propose an equity swap that might achieve this.**Some practice…**• A small-cap asset manager enters into the following swap: Pay small-cap return and receive fixed rate of 5.5%. • Has exposure to small cap increased or decreased? • Suppose the swap is on a 180/365 day basis for the first payment. The notional amount is $50 million. • If the value of the small-cap index starts off at 234.10 and 180 days later is at 238.41, what is the net payment (and who makes it to whom)? • If the value of the small-cap index starts off at 234.10 and 180 days later is at 241.27, what is the net payment (and who makes it to whom)?