The document asks for an intuitive explanation of the drift that appears when a forward rate in the LIBOR market model is expressed under a different forward measure. It presents the adjacent-rate drift adjustment, which depends on the correlation between…
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5,701 documents
The document examines how the index factor should enter the exercise price of an option on a credit default swap index. It contrasts the factor included in the live portfolio swap value at option expiry with the factor that might belong in the exercise…
The document examines how the risk-free rate affects risky debt yields and credit spreads in the Merton structural credit model. It presents the model’s zero-coupon debt yield formula and differentiates the spread with respect to the risk-free rate,…
The note classifies operating income divided by total assets as a profitability measure, commonly used in banking. It distinguishes profitability from leverage, asset composition, and liquidity by considering what the ratio’s inputs capture. Because the…
The document describes bootstrapping spot rates from US Treasury par yields. It explains that Treasury par yields are bond-equivalent yields based on securities with semiannual coupon payments, then presents a Python example that solves sequentially for spot…
The document addresses a QuantLib failure while stripping cap and floor volatilities into individual optionlet volatilities. The reported error says a parameter falls outside its allowed range during bootstrap, at a particular strike and expiry. The answer…
The document distinguishes a bond futures contract’s expected return from the yield associated with its underlying bond. A futures price is set so the contract’s expected payoff at settlement is zero under the pricing measure; that does not make the bond’s…
The document distinguishes real options in corporate finance from exchange-traded puts and calls. A real option is a time-limited business opportunity: a company can spend money to pursue a project if conditions are favorable, or let the opportunity lapse.…
The document explains how to calculate a bond’s discrete-period return from its beginning and ending clean prices, accrued interest at both dates, and coupon payments received during the period. The calculation includes bond income as well as the change in…
The document distinguishes the overnight indexed swap from the overnight cash rate it references. An OIS is a derivative with a tenor whose value reflects expectations for the compounded overnight rate over that period. Banks may lend or borrow overnight in…
The document asks whether daily variation margin changes futures prices relative to forwards, using stock-index futures as its starting point. It notes that a forward’s fair value reflects financing and asks how the resulting sensitivity to the cash index…
The document explains how to estimate profit on a short Eurodollar futures position from the change in the quoted futures price, and asks how expiration timing and unchanged spot LIBOR affect a long position. The answer says the initial short-profit…
The document asks for freely available, widely accepted papers on pricing options on fixed-income instruments, including Treasury and Bund options and options embedded in callable or putable bonds. The author distinguishes these products from more commonly…
The document asks how to interpret Rebonato’s approximation for swaption volatility when using a factor-reduced or multifactor Libor Market Model. It questions whether each factor should be represented by a separate volatility function tied to a tenor, with…
The document discusses where researchers might obtain sample or market data for swaption valuation, focusing on the difficulty of finding free public data for these over-the-counter instruments. Suggested sources include examples bundled with textbooks or…
The document considers quantitative modeling of interest-only adjustable-rate mortgages. It proposes using index forward curves to project how mortgage rates may change after an initial fixed-rate period, then examining effects on borrower costs and payment…
The document compares holding a high-coupon bond bought just after a coupon payment with buying it shortly before the next payment. With the same clean price and a hold to maturity, the earlier purchase also pays accrued interest, while the next coupon…
This document raises the challenge of managing funding valuation adjustment (FVA) in a bank treasury. It describes a common calculation at a high level: forecast a funding profile and apply a funding spread. Hedging that expected profile with assets or…
The document gives a concise explanation for why a floating-rate loan is generally valued near par on a coupon reset date. At that date, the loan’s coupon is reset to the prevailing market rate. In the basic bond-pricing argument, an instrument whose coupon…
The document explains why the yield spread between a corporate bond and a risk-free bond cannot be read as a default probability on its own. The spread reflects expected default losses, including both the chance of default and the loss given default;…
The document explains how to value a payment of LIBOR fixed at time T and paid at T plus an accrual period. After the rate has been set, its value is the discounted payment amount. Before the fixing date, the price is the value of a portfolio holding a bond…
A zero-coupon bond makes a single payment of face value at maturity and has no interim coupon payments. Its issue price reflects the present value of that future payment. With a positive yield, discounting makes the issue price lower than par; the discussion…
The document asks how to bootstrap spot and forward curves from daily US Treasury yields when a coupon bond’s cash flows fall at maturities without quoted securities. For the two-year note, the missing one-and-a-half-year spot rate is needed alongside…
The document clarifies the scope of the Gordy formula as described through its underlying asymptotic single-risk-factor credit model. The model represents an entity at the horizon as either performing or defaulted, and recognizes a monetary loss when default…