The document addresses whether the numeraire used in the Linear Gaussian Model must first be identified as a specific traded asset, and whether defining the state process through a measure associated with that numeraire is circular. The answer distinguishes…
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5,701 documents
The document raises a pricing question about the embedded call feature in a callable floating-rate note. The author understands a callable bond as a straight bond combined with a short receiver swaption, and asks how to isolate or value the option component…
The document outlines three broad approaches to credit portfolio management: structural models, actuarial or intensity models, and macro-factor or econometric models. It mentions KMV-style models and CreditMetrics as examples associated with the structural…
The document considers how to compare a fixed-income security’s price series with a US Treasury bill as a risk-free benchmark, particularly when the intended holding period is only a few days. It notes that there is no universally correct maturity to use and…
The document addresses which bond price belongs in a duration calculation. It defines modified duration using the derivative of price with respect to yield divided by price, and identifies that price as the dirty price, which includes accrued coupon…
The document distinguishes carry from roll-down for forward-starting interest rate swaps. Before the swap begins, its floating leg has no certain payments over the investor’s holding horizon, so the response describes the position as having no earned carry…
The document explains how to estimate a Treasury futures contract’s modified duration when its cheapest-to-deliver (CTD) bond is known. Under the simplifying assumption that futures track the CTD’s forward price perfectly, the conversion factor cancels from…
The document explains how to value a European option whose payoff is determined at expiry but paid later. It distinguishes the option expiry date from the cash settlement date and expresses the value at expiry as the payoff multiplied by the price of a…
The document describes a request to value a Chilean peso fixed floating swap in QuantLib when the fixed leg pays as a single coupon through the first eighteen months and semiannually afterward. The question includes code for constructing a discount curve…
The question asks how to obtain a zero-coupon curve for Italian government bonds in order to calculate Z-spreads, including how to treat a bond’s next coupon date. The answer clarifies that the “z” in Z-spread refers to zero volatility, rather than…
A bank deposit creates a liability to the customer and an asset for the bank, initially cash or a central-bank balance. The discussion explains why an idle deposit can still affect bank constraints and costs, while converting cash into loans may generate…
The document discusses valuing the floating leg of a daily compounded overnight-indexed swap when payment occurs after the accrual period, under the one-factor Hull–White short-rate model. One derivation rewrites each daily accrual factor using a ratio of…
The document considers how a bank might price a ten-year EUR/DEV cross-currency basis swap when there is no established swap market in DEV and the proposed hedge is to roll daily borrowing and deposits at the two risk-free rates. Its central point is that…
The document asks which interest rates are appropriate for empirical covered interest parity testing between Canada and the United States across several forward maturities. It raises a practical concern with Treasury bill rates: their lending yield may not…
The document describes a shareholder’s concern about convertible notes exchanged for common shares at a conversion price far below the market price. It cites a company filing that identifies a beneficial conversion feature under ASC 470-20, records its…
The document asks how the CAPM relates an asset’s beta and the equity risk premium to its expected future spot price, including continuous dividend yield. It contrasts a simple one-period return calculation, which gives a linear expression, with an…
The document works through the valuation of a forward rate agreement (FRA) that pays fixed and receives floating. It calculates the accrual fraction for the contract period, estimates a missing tenor’s Libor fixing by linear interpolation between available…
The discussion clarifies that risk neutrality is about how an interest-rate model is calibrated, rather than an inherent property of the Vasicek process. Calibrating parameters to traded instrument prices under pricing and hedging assumptions gives a…
The discussion considers an empirical method for estimating a credit portfolio loss distribution from monthly account snapshots. The proposed procedure groups loans by origination vintage, measures defaults over a fixed horizon, applies a common recovery…
The discussion explains how to calculate a corporate bond’s Z-spread when its yield to maturity and annual coupon schedule are known. The conventional approach is to solve numerically for the parallel shift to a reference swap curve that makes the present…
The document examines whether investors who remain in a bond fund can lose value because other shareholders redeem during a market decline. A stylized example tracks a fund through a bond price shock, redemptions by half its holders, and a subsequent…
The document asks how to combine conditional default probabilities for different institutions into a single measure of systemic impact. The response proposes comparing each institution’s default probability conditional on another bank’s default with its…
The document explains what it means for forward swap rates to be realized and how that differs from the yield curve simply remaining unchanged. In its example, a pay-fixed swap is entered at the current par rate, and the relevant comparison after one year is…
The document asks how to estimate returns for a bond fund tracking a broad US bond index over a 20–30 year horizon or longer. For intermediate horizons, it describes a common approach: combine the average starting yield with expected roll-down return and…