Estimated study time: 45 minutes
Content:
A swap is an OTC derivative contract in which two parties agree to exchange a series of cash flows over a specified period based on a notional principal amount. The notional principal is the reference amount used to calculate the cash flows — it is not exchanged between parties (with the exception of currency swaps at maturity). Swaps are the largest segment of the derivatives market by notional amount, with interest rate swaps dominating. Swaps can be thought of as portfolios of forward contracts: each exchange of cash flows on a settlement date is equivalent to a forward contract for that date. This insight is useful for pricing and understanding risk. Like other OTC derivatives, swaps carry counterparty risk, though central clearing through clearinghouses has become mandatory for many standardized swap types following post-2008 financial reforms.
The most common swap type is the plain vanilla interest rate swap, where one party pays a fixed rate and receives a floating rate (or vice versa) based on the same notional principal in the same currency. The fixed-rate payer is "long the swap" (benefits when rates rise) and the floating-rate payer is "short the swap" (benefits when rates fall). Common motivations include: a company with floating-rate debt wanting to convert to fixed (to reduce cash flow uncertainty), or an insurance company with fixed-rate liabilities wanting to convert fixed assets to floating (to reduce duration). The fixed swap rate is set so that the swap has zero value at initiation — it is the rate that equates the present value of fixed payments to the present value of expected floating payments.
Currency swaps involve the exchange of principal and interest payments in two different currencies. At initiation, the parties exchange principal (at the current spot rate); throughout the life of the swap, interest payments are made in the respective currencies; at maturity, the principal is re-exchanged at the same exchange rate agreed at initiation. Currency swaps allow companies to borrow in their domestic market (where they have the best credit terms) and swap the proceeds into the desired foreign currency, effectively achieving foreign currency financing at potentially lower cost. This is the comparative advantage argument: each party borrows where they have a relative advantage and swaps into the desired currency.
Equity swaps involve exchanging the return on an equity index (or individual stock) for a fixed or floating interest rate. The equity return payer agrees to pay the total return (capital gain + dividends) on the equity and receive a fixed or floating payment. Equity swaps allow investors to gain or reduce equity exposure without actually buying or selling the underlying shares — avoiding transaction taxes, maintaining confidentiality, or complying with trading restrictions. A credit default swap (CDS) is a credit derivative where the protection buyer pays a periodic premium and receives a payment from the protection seller if a specified credit event (default, restructuring) occurs on a reference entity. CDS are widely used for credit risk management and for taking speculative positions on credit quality without owning the underlying bonds.
Key Terms:
Quiz Questions:
Q1. Company A has floating-rate debt (paying SOFR + 1%) and is concerned about rising interest rates. Company B has fixed-rate debt (paying 6%) and believes rates will fall. They agree to a plain vanilla interest rate swap with notional of $10 million. Company A pays 5% fixed and receives SOFR. If SOFR is currently 4%, what is the net payment between the parties this period?
A) Company A pays Company B $100,000 net B) Company B pays Company A $100,000 net C) Company A pays Company B $50,000 net D) No net payment since the rates are close
Answer: A — Company A pays 5% fixed = $500,000. Company A receives SOFR = 4% = $400,000. Net: Company A pays $500,000 – $400,000 = $100,000 to Company B. Company A's total cost on its debt: SOFR + 1% (on underlying) + net swap payment = 4% + 1% + 1% = 6% effective fixed. Company B now effectively has floating exposure at approximately SOFR + 1% (6% – 5% + SOFR = SOFR + 1%).
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Q2. A corporation with an A-rated credit profile borrows at 5% fixed in its home country. A foreign counterparty with a BBB rating borrows floating at SOFR + 1% in that same country. In the foreign currency market, the A-rated company can borrow at SOFR + 0.5% and the BBB company can borrow at 7% fixed. Who has a comparative advantage in which market?
A) The A-rated company has a comparative advantage in the fixed market; the BBB company has a comparative advantage in the floating market B) Both companies have comparative advantages in fixed-rate markets C) The BBB company has a comparative advantage in the fixed market; the A-rated company in floating D) Neither has a comparative advantage since the credit spread differential is the same in both markets
Answer: A — Absolute advantage: A-rated wins in both markets. But comparative advantage: In fixed: A pays 5%, BBB pays 7%, spread = 2%. In floating: A pays SOFR + 0.5%, BBB pays SOFR + 1%, spread = 0.5%. The A-rated company has a larger absolute advantage in fixed (2% differential vs. 0.5%). Therefore, the A-rated company should borrow fixed and the BBB company should borrow floating, then swap to achieve each party's desired exposure — saving a total of 1.5% (2% – 0.5%) to be shared between them.
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Q3. A pension fund holds a large portfolio of long-duration bonds and wants to reduce its interest rate risk without selling the bonds. The most efficient derivative strategy using swaps would be to:
A) Enter a currency swap to exchange bond payments into a foreign currency B) Enter a receive-fixed, pay-floating interest rate swap, reducing the portfolio's effective duration C) Enter a pay-fixed, receive-floating interest rate swap, reducing the portfolio's effective duration D) Buy equity swaps to diversify away from fixed income risk
Answer: C — A long-duration bond portfolio has sensitivity to rising rates (falling bond prices). To reduce duration, the fund should use a pay-fixed, receive-floating swap. When rates rise, the floating payments received increase, offsetting the decline in bond values. The pay-fixed leg creates a liability with duration similar to a fixed-rate bond, partially canceling the asset duration. Swaps allow the pension fund to manage duration without transacting in the underlying bond market.
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Q4. A CDS protection buyer pays 200 basis points annually on a $10 million notional CDS referencing a corporate bond issuer. If the issuer defaults and the recovery rate is 40%, what does the protection buyer receive from the protection seller?
A) $200,000 B) $6,000,000 C) $10,000,000 D) $4,000,000
Answer: B — In a CDS, the protection seller compensates the protection buyer for the loss given default: LGD = notional × (1 – recovery rate) = $10M × (1 – 0.40) = $10M × 0.60 = $6,000,000. The protection buyer receives $6 million — compensating for the 60% loss on the $10M bond position. The buyer was paying $200,000 per year (200 bps × $10M) for this insurance. Option C would be correct only if recovery = 0%.
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Q5. At initiation, a plain vanilla interest rate swap (no upfront payment) has a value of:
A) Equal to the notional principal since that determines all future cash flows B) Negative to both counterparties since both accept obligations C) Zero, because the fixed rate is set so that the present value of fixed payments equals the present value of expected floating payments D) Positive to the fixed-rate payer and negative to the floating-rate payer
Answer: C — At initiation, the fixed swap rate (par swap rate) is set so that the swap has zero net present value to both parties — the PV of fixed payments equals the PV of the expected floating payments. This ensures that neither party has an economic advantage at initiation, making the agreement fair. As interest rates change after initiation, the swap gains value for one party and loses value for the other (at equal and opposite amounts), as the fixed rate paid deviates from the new par swap rate.
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