Pricing and Valuation of Interest Rate and Other Swaps
50 questions available
Key Points
- Interest rate swaps are equivalent to a series of off-market FRAs.
- Payer swap = Series of Long FRAs.
- Receiver swap = Series of Short FRAs.
- Off-market FRAs do not necessarily have a value of zero at initiation individually.
Key Points
- Swap Price (Par Swap Rate) is the fixed rate equating fixed and floating legs.
- Swap Value is the MTM value, which is zero at initiation.
- Periodic Settlement = (MRR - Fixed Rate) * Notional * Period.
- Valuation involves discounting future net settlements.
Questions
To which of the following is an interest rate swap considered equivalent?
View answer and explanationWhat type of FRAs are used to replicate an interest rate swap?
View answer and explanationA payer swap can be replicated by using a series of:
View answer and explanationA receiver swap can be replicated by using a series of:
View answer and explanationWhat characterizes an 'off-market' FRA?
View answer and explanationThe swap price is also known as the:
View answer and explanationWhich formula best represents the calculation of the Swap Price ($s_N$)?
View answer and explanationWhat is the value of a plain vanilla interest rate swap at initiation?
View answer and explanationThe Swap Value at any given time after initiation is composed of:
View answer and explanationWhich component determines the 'Periodic Settlement Value' for the payer of the fixed rate?
View answer and explanationIf the Market Reference Rate (MRR) is 5 percent and the Swap Fixed Rate is 4 percent, what is the nature of the periodic settlement for the fixed-rate payer?
View answer and explanationWhat does 'MRR' stand for in the context of swap settlement?
View answer and explanationGiven a notional of 1,000,000 EUR, a fixed swap rate of 3 percent, an MRR of 4 percent, and a period of 1 year, what is the settlement value for the fixed-rate payer?
View answer and explanationImplied Forward Rates (IFRs) are derived from:
View answer and explanationMark-to-Market (MTM) Value of a swap reflects:
View answer and explanationWhen calculating the par swap rate, the fixed leg is effectively treated as:
View answer and explanationIf interest rates rise after the initiation of a receiver swap (receiving fixed), what happens to the value of the swap for the receiver?
View answer and explanationIf a swap has a fixed rate of 4 percent and the MRR is 3 percent for a given period, which party makes the net payment?
View answer and explanationThe 'tenor' of a swap refers to:
View answer and explanationIn the swap price formula, what does 'PMT' represent?
View answer and explanationWhat is the primary role of spot rates ($z_1, z_2...$) in swap pricing?
View answer and explanationA swap with a fixed rate of 5 percent has a periodic settlement value of zero when:
View answer and explanationIn the replication of a swap using FRAs, why are the FRAs considered 'off-market'?
View answer and explanationIf the present value of the fixed leg exceeds the present value of the floating leg, the value of the swap to the fixed-rate payer is:
View answer and explanationFor a receiver swap (receives fixed, pays floating), the value is positive if:
View answer and explanationWhich factor is NOT explicitly required in the 'Swap Price' formula presented?
View answer and explanationCalculate the net payment for a fixed-rate payer on a 10 million USD swap with semi-annual payments (0.5 year period), where MRR is 4 percent and Fixed Rate is 4.5 percent.
View answer and explanationHow is the 'Current Settlement Value' treated in the calculation of total Swap Value?
View answer and explanationWhat implies that the fixed rate of a swap ($s_N$) is the 'Par Swap Rate'?
View answer and explanationWhich of the following describes the replication of a swap using FRAs?
View answer and explanationIf the term structure is flat at 5 percent (all spot rates are 5 percent), what is the swap fixed rate?
View answer and explanationWhen calculating swap value, future floating cash flows are usually estimated using:
View answer and explanationWhat happens to the value of a payer swap if the yield curve shifts downward?
View answer and explanationThe periodic settlement formula for a receiver of the fixed rate is:
View answer and explanationWhich of the following is true regarding the notional amount in an interest rate swap?
View answer and explanationA 'Long' off-market FRA position effectively means:
View answer and explanationHow does the 'Period' factor affect the settlement payment?
View answer and explanationIf $z_1 = 5$ percent and $z_2 = 6$ percent, and the swap pays annual coupons for 2 years, the discount factor for the second cash flow is calculated as:
View answer and explanationWhich valuation approach is consistent with the 'Law of One Price'?
View answer and explanationIn the formula for Swap Price, the term 'PMT' is constant for:
View answer and explanationIf a swap is valued at zero at initiation, what must be true about the fixed and floating legs?
View answer and explanationFor a 1-year annual swap where the 1-year spot rate is 10 percent, what is the swap fixed rate?
View answer and explanationThe value of a swap changes over time due to:
View answer and explanationWhich term describes the net payment made on a settlement date?
View answer and explanationIf implied forward rates (IFRs) increase, the calculated par swap rate for a new swap would likely:
View answer and explanationIn a swap, the 'floating rate' is typically based on:
View answer and explanationWhat is the key difference between a standard FRA and a swap settlement period?
View answer and explanationIf a 2-year swap has a fixed rate of 4 percent, and the 1-year spot rate is 4 percent, what does this imply about the 2-year spot rate?
View answer and explanationWhy is the fixed rate in a swap sometimes called a 'par' rate?
View answer and explanationWhen calculating the payment on a swap, if the Period is 90 days and the convention is 360 days, the factor is:
View answer and explanation