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 examines haircuts in bond repurchase agreements, framing a repo as an exchange of cash and bonds that is reversed at maturity. It asks why market practice generally uses overcollateralization, how that convention relates to the risks of the cash…
The document raises a risk-modeling question about constructing historical returns for a long-dated German government bond with a zero coupon. The author is building a historical Value at Risk model and is concerned that very low yields, including yields at…
The document asks how to supply mean reversion values and their effective dates when calibrating a Hull–White interest rate tree in MATLAB to price a coupon-bearing bond. The author has volatility term structures, zero curves, bond market prices, and dates,…
The document clarifies that distance to default is expressed in standard deviations, not in units of time such as years. It describes the measure as a firm’s distance from a default threshold in a statistical framework, so a larger positive value indicates…
The document surveys instruments used to construct money-market curves under multi-curve methods, with emphasis on USD and questions about EUR, GBP, and JPY. It explains that instruments tied to different floating-rate indices inform different forward curves…
The document examines the common claim that a floating-rate note trades at par on each coupon reset date, asking whether this remains true when the issuer's credit quality changes. The response confirms that credit deterioration can affect the note's price,…
The document clarifies that the Federal Funds rate is quoted on an annual basis even though it refers to overnight lending between depository institutions. To calculate interest on a one-day loan, the annualized rate is applied using the Actual/360 day-count…
The document outlines ways to identify potentially suspicious bond trading without relying on a single fixed percentage threshold. One suggestion is to compare daily price or spread changes with option-implied or historical volatility and use a multiple of…
The answer connects a parabolic partial differential equation with a source term to a contingent claim that pays continuously according to the state of an underlying Brownian motion and makes a terminal payment. Its value is represented as the expected…
The note explains why two zero-coupon bond pricing formulas appear in finance. With a constant short rate, the bond price is the exponential discount factor for the rate multiplied by time to maturity. When rates vary randomly, pricing instead takes the…
The document asks how coupon payments should be handled when valuing a callable or puttable bond on a binomial tree: should the coupon be added before applying the call or put exercise limit, or afterward? The answer emphasizes that the result depends on the…
The document considers a zero-coupon bond when the short rate follows a diffusion with constant volatility and the market price of interest-rate risk is set to zero. It corrects an attempted valuation that discounts the payoff using only the current short…
The question asks how a bond with a 7% coupon could yield about 6.7% when purchased for 101 per 100 of face value. It tries to reproduce the quoted yield by discounting coupon and principal payments, but the result depends on the timing assumed for the first…
The discussion explains the notation for a one-period holding return on a zero-coupon bond. The return compares the bond’s log price at time t, when it has n periods remaining, with its price at time t+1, when one period has passed and only n−1 periods…
The document considers how to determine a Bermudan swaption exercise notification date defined as a number of business days before an already adjusted settlement date. The example uses an FpML relative-date specification with a negative business-day offset,…
The document explains how Girsanov’s theorem relates Brownian motion under a real-world probability measure to Brownian motion under an equivalent measure. A kernel determines the drift adjustment, and the Radon–Nikodym density process defines the…
The document considers which discount rate to use when valuing a repurchase agreement through discounted cash flows. It contrasts a general risk-free curve, such as overnight indexed swap or fed funds rates, with a market repo curve. The response argues that…
The document explains why adding key rate durations can approximate a bond’s effective duration under a parallel yield curve shift. Key rate duration measures the sensitivity of present value to one particular curve point, while effective duration measures…
The document explains why a forward curve above a par yield curve does not, by itself, show that bonds are cheap. For an upward-sloping yield curve, forwards tend to sit above par yields; the reverse relationship holds for a downward-sloping curve. The…
The discussion explains how to interpret point-in-time default probabilities as conditional probabilities over successive periods. If each quarterly PD is already conditional on survival to the start of that quarter, quarterly survival is one minus that PD;…
This discussion clarifies how carry and roll-down are defined for a receive-fixed interest rate swap. It questions a description of upfront carry as the difference between present values of current and forward-starting swaps, since those values depend on the…
The document distinguishes valuing a dividend-paying stock from valuing an entire corporation. The question supplies projected free cash flow to the firm, a constant perpetual growth assumption, and the weighted average cost of capital. The answer explains…
The document explains how to define a regular swap coupon schedule before applying business-day adjustments. It identifies the effective and termination dates, optional front or back stub dates, payment frequency, roll convention, date modifier, and calendar…
The document asks how to interpret p-values and statistical significance when working with financial time series, where observations are successive measurements of the same variables rather than an obvious random sample from a fixed population. It also…