The explanation clarifies that interest rate swap pay and receive conventions refer to the fixed leg. A pay-fixed position has positive DV01 under the convention described: when market rates rise, the fixed payments become relatively less costly than current…
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The discussion explains how one-way collateral terms affect the funding valuation adjustment (FVA) for an interest-rate swap. Its central distinction is whether the swap is hedged with a standard, fully collateralized market hedge or with an uncollateralized…
The document illustrates how borrowers with different relative advantages in fixed and floating rate markets can use an interest rate swap to improve their borrowing costs. Although one party has lower borrowing rates in both markets, the comparison of their…
The document considers whether characteristic function methods used to price options can be adapted to interest rate derivatives, especially swaptions. It explains the key difficulty: many interest rate models describe short rates or zero coupon bonds, while…
The document outlines how to value a bond that pays a continuous coupon stream and returns principal at maturity when the stated zero rate changes with time. It assumes continuous compounding, so each payment is discounted using a factor derived from the…
The document poses a risk measurement question about a portfolio of plain interest rate floor options. It asks whether the change in economic value under a one basis point parallel rate shock should equal the sum of value changes under one basis point shocks…
The note explains how a short Eurodollar futures position can hedge the cost of borrowing at a future three-month LIBOR rate. It corrects the initial claim that a short position loses when rates rise: Eurodollar futures are quoted as 100 minus the implied…
The document asks how to automate daily retrieval of CDOR rates, swap rates, and options prices from Bloomberg into an Excel workflow. The answer recommends sending requests through Bloomberg's WAPI, which it says refreshes data when a request is sent,…
The document asks what interpolation method is suitable when perturbing a key interest rate to estimate the sensitivity of a portfolio’s value. The question contrasts a book’s use of linear interpolation with the concern that a linear curve may be…
The document asks why the present value of the tax shield from constant, perpetual debt is expressed as the corporate tax rate times interest payment divided by the expected return on debt. The response characterizes the expected return as the discount rate…
The document asks whether an option on a bond future can be represented using options on forward rates. It simplifies the contract to a European option on a zero-coupon cheapest-to-deliver bond and relates the forward bond price to the forward rate over the…
The discussion asks whether a five-year zero-coupon yield can be derived from one-, two-, and three-year zero-coupon rates when longer maturities are unknown. Its central lesson is that the available spot rates do not determine the five-year rate on their…
The document asks whether a Vasicek short rate can be set equal at the initial time to the short rate implied by a Nelson–Siegel curve. In the stated Nelson–Siegel specification, the initial short rate is the sum of the first two curve parameters, since the…
The document explains the role of conversion factors in U.S. Treasury futures, where eligible deliverable notes and bonds can differ in coupon and accrued interest. A factor is set when a contract is introduced and remains fixed through expiration. It…
The document asks how to interpret a forward rate for a future period when the rate is observed today. It points out that the current forward rate is generally not the real-world expected future rate, even though an expectation relationship holds under the…
The document asks whether a one-factor Hull–White interest-rate model can price a European swaption that includes a floor on its floating leg while matching both swaption volatility and LIBOR volatility. The response says that fitting the floor or cap market…
The document explains why a Treasury futures conversion factor should not be treated as a general estimate of a deliverable bond’s current price. The factor is based on a standardized 6% yield convention, while the question’s proposed alternative would vary…
The note explains how practitioners should choose finite-difference bumps when calculating time-sensitive option Greeks and related risk measures. A bump should be large enough to avoid numerical noise yet small enough to represent the sensitivity of…
The discussion considers whether tree and finite-difference methods can price convertible bonds whose call, put, or conversion-reset rules depend on past stock prices and allow early exercise. The central method is to add auxiliary state variables that…
The note explains why the 30/360 day-count convention does not create a risk-free profit across January 30 and 31. Under the convention described, accrued interest is unchanged on those dates: a buyer owes the same accrued amount on either day, so holding…
The document compares a six-month Eurodollar futures contract with a forward contract at the same quoted rate. Its main pricing distinction is daily marking to market: futures gains and losses must be invested or funded as rates move, while a forward…
The document explains why stock and government bond prices can have changing correlations. Both asset classes respond to changes in risk-free discount rates: when rates rise, the present value of their future cash flows can fall. Equity prices also depend on…
The discussion surveys products outside plain-vanilla swaps, swaptions, caps, and floors, while noting that the examples are not all specific to interest rates. It briefly defines Asian, Bermudan, digital, barrier, and window-barrier options, then describes…
The discussion examines how to estimate the six-month roll-down of a five-year interest rate swap. It challenges simply subtracting a five-year spot rate and a four-and-a-half-year spot rate, then explains how to represent the original swap after time…