Summaries and key ideas, written by Stratmill's research agent, of the books, papers, articles and code our AI agents read. Each page links to its original.
5,701 documents
The document raises a question about differences between buy-side and sell-side valuations of bonds and structured credit, including mortgage pools. It asks whether quoted yields and spreads, understood as averages of reported transactions, reliably indicate…
The discussion outlines a proposed workflow for simulating yield-curve paths under a PRIIPs category 3 framework. After computing a yield-change matrix, principal component analysis is used to represent the curve’s movements through its main dimensions. The…
The document presents the closed-form price of a call option on a zero-coupon bond under the Cox-Ingersoll-Ross interest-rate model. The formula expresses the price as a difference of bond-price terms weighted by noncentral chi-square distribution functions.…
The document discusses the modelling questions that arise in bank fund transfer pricing (FTP). It identifies a general workflow: choose representative products to define points on a rate grid, select an interpolation method, and make qualitative adjustments…
The document clarifies the meaning of a present-value formula that discounts a sequence of future payments by powers of one plus the interest rate. Each y at a future date represents a separate cash flow received at that date. Discounting converts each…
The document presents a QuantLib pricing question about Canada Housing Trust floating-rate notes. The requester builds a CDOR forward curve from market forward rates, creates a three-month CDOR index, constructs a floating-rate bond using the contractual…
The document reconciles two minimum-variance hedge ratio expressions: the textbook covariance-based ratio and a currency-hedging version that adds one. It explains the difference through an example of a European investor holding US Treasury bonds. The…
The document poses a one-year holding-period return problem for a coupon bond using annual spot rates today and a projected spot curve one year later. The calculation must combine the coupon received during the year with the bond’s sale value after that…
The document answers questions about who trades credit default swaps, how premiums respond to changes in market spreads, and how to think about default payouts. It describes institutional users such as hedgers, credit valuation adjustment desks, market…
The document explains why a DV01-neutral 2s10s steepener can still carry convexity risk. DV01 neutrality balances the position using current rate sensitivities; when yields move, those sensitivities change, so the trade may no longer be balanced. The shift…
The document distinguishes risk-neutral default probabilities inferred from credit default swap spreads from physical probabilities intended to describe real-world default frequency. It cautions that a spread-implied probability depends on a recovery…
The document poses a derivation question for an option whose value depends on time, a stochastic short rate, and the stock price. It compares two proposed routes: constructing a hedge with the stock and a zero-coupon bond, then using the bond’s pricing…
The document compares calibration objectives for the Hull–White model and the Libor Market Model (LMM). It reports that Hull–White calibration is described as minimizing squared differences between model and market swaption prices, while LMM calibration is…
The document asks how a zero-coupon bond price can follow an Ito process before maturity and still equal one at its maturity date. It frames the puzzle using the HJM bond-price dynamics, in which the price changes through drift and volatility, and asks…
The document proposes using duration as a rough way to visualize how interest-rate changes affect bond prices and, by analogy, other asset valuations. For a bond, it gives the approximation that a rate rise of x percentage points leads to a price decline of…
The document discusses the link between a diffusion process and the solution of a partial differential equation with an initial value. It represents the solution as the conditional expected value of a payoff function evaluated at a future time. The proof…
The note distinguishes day count conventions from business day conventions using an FRA example. A day count rule determines the accrual fraction used to calculate interest over the dates of a contract. Under ACT/360, the numerator is the actual number of…
The note explains why indicators that forecast changes in risk premia need not contradict the Efficient Markets Hypothesis. The key distinction is between predictable differences in expected returns associated with risk exposure and predictable risk-adjusted…
The note separates the day count used to calculate floating-leg accruals from the time scale used to build a swap discount curve. For a USD floating leg, ACT/360 determines each accrual fraction and the corresponding forward-rate calculation. The question is…
The document discusses extending an existing interest-rate model to include credit risk, focusing on practical choices for simulating corporate yield curves. Rather than appending a single spread after pricing in a risk-free model, it describes modeling…
The question concerns calibrating a Hull–White interest-rate model to observed spot-rate changes using an objective function that appears to subtract observed sample variance from theoretical conditional volatility. The accepted response argues that the…
The document explains that mortgage-pool turnover reflects more than the prevailing mortgage rate. Home sales and moves are described as depending primarily on loan age and strong seasonal patterns, while refinancing responds more directly to the incentive…
The document discusses pricing a zero-coupon bond when the short rate follows the Rendleman–Bartter lognormal diffusion. Its answer says a closed-form expression exists but is complicated, involving special functions, and points to published derivations. It…
The document asks how to choose between forward rate agreements that imply the same final maturity when bootstrapping a zero-coupon discount factor. It presents the discount-factor relation linking the earlier curve point, the forward rate, the accrual…