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 asks what a continuously payable annuity means in a fixed-income context. Its answer describes an annuity as a coupon paid at regular intervals and interprets “continuous” as payments continuing indefinitely. It also shows a finite-series…
The document asks what economic intuition can explain bull flattening and bear steepening, contrasting them with the more familiar directional stories traders sometimes associate with bad or good news. The answer focuses on how much the front end of the…
The document frames the valuation of tax liens as a bond-like cash flow problem. An investor pays delinquent property taxes, may advance later tax bills, and earns interest if the owner redeems the lien; prolonged nonpayment can instead lead to foreclosure.…
The document examines how well parametric interest-rate volatility calculations may approximate Monte Carlo results for several types of fixed-income holdings. The author compares the methods on a small sample and explores whether instrument characteristics…
The document discusses whether put dates on bonds coincide with coupon dates, whether exercising a put preserves the coupon, and how scheduled coupon payments are adjusted when dates fall on weekends or holidays. The responses report that put dates commonly…
The document explains how the time-dependent drift parameter, theta, in the Hull–White short-rate model is obtained from the market discount curve. The formula presented requires the instantaneous forward rate and its maturity derivative, which in turn…
The document asks how to infer forward rate volatilities for a Libor market model from at-the-money cap prices and volatilities. It presents an attempted fit of a Rebonato-style parametric volatility curve, using a least-squares optimizer and Bachelier…
The document discusses how par and net-proceeds asset swaps represent bond price and swap value, and why their calculated spreads can differ. In a par structure, the bond’s price relative to par is reflected through an off-market swap component; in a…
The document introduces eligible liabilities within the European bank resolution framework. It explains that these liabilities, together with a bank’s minimum capital, contribute to its minimum requirement for own funds and eligible liabilities, or MREL. The…
The question concerns how to derive a 1.5-year forward rate under OIS discounting when the available curve instruments have annual fixed payments and more frequent floating payments. It asks whether intermediate rates must be interpolated from full-year swap…
The document addresses a weighting problem in parametric value-at-risk when a newly starting interest rate swap has zero net present value. Since market-value portfolio weights assign no weight to a par swap, using position value alone misses its rate…
Under a risk-neutral probability measure, discounted stock prices are martingales. With a deterministic bank account growing at the per-period risk-free rate, the conditional expectation of the stock’s future discounted value equals its current value.…
The document explains the standard consumption-based asset pricing intuition for how lower consumption growth volatility affects interest rates and the equity premium. Investors value smoother consumption, so higher uncertainty can increase precautionary…
The document considers how a contractual spread changes the duration of a floating-rate bond. With no spread, it describes the price as the next reset or coupon-related cash flow discounted to the next payment date, yielding duration equal to the time until…
The note addresses whether a bond yield curve can supply discount factors that incorporate credit risk, instead of deriving default probabilities from a credit default swap curve. It says the curve can be treated as a funding curve and used to obtain risky…
The document asks how to size 10-year Treasury micro futures against a full-sized 10-year note futures contract when adjusting exposure for volatility. It reports an estimated volatility ratio of 5.125 between the micro and full-sized contracts and seeks the…
The document asks how the familiar par swap rate formula follows when the forward and discount curves are identical. The answer values a swap as a fixed-rate bond position offset by a floating-rate bond position. In a single-curve framework, the…
The document explains how to turn a 13-week Treasury bill’s quoted bank discount rate into a daily risk-free return for calculating excess returns. The quote is divided by 100, then translated using the bill’s price and days remaining to maturity. Since the…
This exchange clarifies which forward LIBOR rate corresponds to a caplet’s expiry and accrual tenor in a multi-curve LIBOR Market Model. The example uses a caplet expiring in three years with a half-year tenor. Its underlying rate is the forward rate for the…
The document considers how to extend a bond’s historical yield or price series beyond the period when that individual bond existed. Its proposed approach is to fit a smooth curve to a group of comparable bonds at each point in time, choosing the curve to…
The document addresses whether yield-curve forecasting should model yield levels or changes in yield. Its answer recommends forecasting simple changes in yield to maturity, rather than percentage changes, and frames those changes as the relevant invariant…
The document explains the link between self-financing replication and funding constraints in derivative valuation under counterparty credit and funding risk. A self-financing portfolio cannot receive or return external cash while it is being managed, so its…
The note outlines a factor-based way to attribute inflation-linked bond portfolio returns to nominal rates, real rates, and break-even inflation. Start with observed nominal and real bond prices or yields, transform them into zero or forward curves, and…
The question compares a single-rate discount factor with one that incorporates the shape of the yield curve through successive forward LIBOR rates. The proposed approach accumulates discounting across periods, using the applicable forward rate for each…