The document outlines two broad routes into risk analysis: an empirical statistics route and a more theoretical modelling route. For the latter, it recommends building on calculus with measure theory and stochastic calculus, focusing on Brownian motion,…
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The document explains the distinction between a nonperforming loan and unrecovered debt by describing a loan’s progression from performing status through delinquency and distress to repayment, restructuring, sale, or liquidation. In the account provided, a…
The document discusses whether a higher zero-volatility option-adjusted spread (ZVOAS) from one model indicates that it assumes faster mortgage prepayments than another. Its answer cautions that the spread alone cannot establish the prepayment assumption.…
The document discusses which interest rate to use in option pricing and whether the rate should be adjusted for inflation. Its answer recommends nominal market swap curves matched to the option’s tenor, rather than treating Treasury yields as the default…
The document describes the numerical calibration problem in the Merton structural credit model: infer firm asset value and asset volatility from observed equity value and equity volatility, given other inputs. It presents the two linked equations and reports…
The document outlines how to estimate market-implied policy-rate changes using fed funds futures or overnight indexed swap rates. Fed funds futures settlement reflects an arithmetic average of overnight fixings, weighted by the number of days each fixing…
The document distinguishes risk-neutral valuation in derivative pricing from the claim that actual investors must be risk-neutral. One answer explains that replication and absence of arbitrage can determine derivative prices without requiring risk-neutral…
The document asks how to interpret the difference between overnight federal funds and longer-maturity USD LIBOR. It frames the term rate as potentially reflecting both bank credit risk and expectations of future policy rate increases, and considers whether…
The document asks whether default probabilities implied by credit default swap (CDS) spreads can be used to price bonds from the same issuer. The responses say that implied default intensities can inform bond valuation when a CDS quote exists for the issuer,…
Treasury futures give the short position several delivery choices, including which eligible bond to deliver and when to declare delivery. The quality option lets the short choose the cheapest-to-deliver bond while futures are still trading. The wildcard…
The document asks how to estimate a bond’s historical duration using its current duration and a record of daily prices. The answer treats each historical date as a separate valuation: identify the settlement date, retrieve that date’s price, and infer the…
The document reconciles two forward-pricing expressions for an asset that pays income during the contract. One uses a continuously compounded risk-free rate and an average continuous yield; the other subtracts the present value of fixed income payments from…
The document explains how the one-factor Hull–White short-rate model is fitted to an observed bond term structure. Its time-dependent drift is chosen so that model-implied zero-coupon bond prices match market prices at the calibration date. The stated…
The document addresses how to construct a GBP overnight index swap curve in QuantLib for discounting fixed rate bonds. Its central recommendation is to represent the market instruments with overnight indexed swap rate helpers, rather than treating quoted…
The document describes how to map a Libor fixing date to the underlying deposit’s start and end dates. The start date is generally the fixing date plus a currency-specific settlement lag, adjusted under the relevant business-day rules. The end date is then…
The document explains why a fully cash-collateralized trade is discounted at the collateral remuneration rate. For a zero-coupon bond, the seller posts collateral equal to the bond’s value, and the buyer pays interest on that collateral. With deterministic…
The discussion compares a credit default swap premium with the spread between a corporate bond yield and a comparable risk-free yield. In a simplified theoretical setting, owning a bond while buying CDS protection on the issuer should remove default exposure…
The discussion explains how to translate a Treasury futures option position into the share-like quantity entered on Bloomberg’s OVME screen. The key distinction is between the futures contract’s nominal amount and the per-share face value used by the screen:…
The document explains why a zero-coupon Treasury’s yield to maturity does not generally equal the Treasury yield curve value at the same maturity. The key distinction is how the curve is constructed: it is fitted to yields from selected on-the-run Treasury…
A Treasury is described as special when its repo rate falls notably below the general-collateral rate. The question considers how both short-selling interest and outright buying might create demand to borrow a particular bond in repo, potentially lowering…
The document outlines why mortgage-backed security derivatives require a broader hedge than a conventional bond. A basic bond hedge can use key-rate durations to represent exposure across points on the Treasury curve, but mortgage cash flows also depend on…
The document frames a curve-construction problem for valuing repos, loans, and deposits in a local currency market without a liquid overnight index swap market. Available inputs include a published overnight repo index average and weighted average interbank…
The document considers why constructing the front end of a SOFR curve is harder than building the long end. It begins with a general calibration idea: choose curve parameters to minimize differences between model and observed instrument prices. The answer…
The document asks how to estimate the delta and gamma contributions to the profit and loss of a convertible bond position after an equity-price shock. It uses Bloomberg sensitivities, a stated market value of $2,500,000, delta of 0.74, gamma of 0.00524, and…