The document explains a measure change used in a derivation of constant-maturity swap convexity. It considers the expectation of a swap rate under a forward measure associated with a bond maturing at the payment date, then rewrites it under an annuity…
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The document examines how quarterly excess returns on Treasury bills and long-term bonds are calculated in an appendix to a 1988 asset-pricing paper. It describes the maturities involved and asks how the paper’s formulas relate to a direct holding-period…
The document frames a regulatory validation problem: when a bank using the internal ratings based approach acquires another bank’s loan portfolio, how can it show that its existing probability of default model and risk classes are suitable for the new…
The document asks whether the US government follows a money-printing policy, how such a policy might be measured, and what drives persistent inflation. The response suggests looking at the monetary base as a measure of currency and bank reserves in…
This question describes a Monte Carlo implementation of the Libor Market Model (LMM) for simulating forward rates before a swaption’s exercise date. The model uses an initial forward curve, a correlation matrix, and time-dependent volatilities, with…
The document explains why interest deductibility is called a tax shield and how it affects the after-tax cost of debt used in weighted average cost of capital. Its central distinction is between a firm’s lower tax bill and its overall profit: debt creates…
The document explains why the stock price and the value of interest-bearing cash satisfy the Black–Scholes pricing PDE. The stock itself is a traded asset whose value is the underlying price, while a bank balance grows deterministically at the risk-free…
The response distinguishes historical par spreads from modern standard CDS market quoting. Par spreads describe the spread associated with a contract that has no upfront fee, as used before the 2009 CDS contract changes. Current trading generally uses a…
An interest rate swap’s current value can be calculated from the yield curve, without specifying a stochastic model for future rate movements. That valuation answers what the swap is worth now under the curve and arbitrage-free pricing conventions; it does…
The document addresses two representations of the solution to a mean-reverting stochastic differential equation driven by correlated Brownian motions. Applying an integrating factor yields a term that integrates the first Brownian motion’s level over time,…
The document shows how a payer swaption can be expressed as an option on a coupon bond. It starts from a fixed-for-floating swap with reset and payment dates, writes its value as the difference between a floating leg and a fixed leg, and uses the forward…
The document asks whether a continuously rebalanced, accumulating bond fund can be held long enough to guarantee a positive or specified return, and how that compares with holding individual fixed-rate bonds to maturity. It distinguishes a fund that…
The document examines why ICE USD swap rate observations were absent during March and April 2020, while EUR observations remained available. It reports that the same gap appeared in data retrieved from both ICE-related time series and Thomson Eikon, and asks…
The answer treats the yield-curve model term as a Wiener integral with a deterministic integrand. Such an integral is normally distributed with mean zero, and its variance is the integral of the squared integrand over time. For an exponentially decaying…
The document asks whether market participants learn about unscheduled Federal Open Market Committee meetings before they occur. The included answer says investors know the scheduled meeting calendar, while emergency meetings are disclosed afterward through a…
The document raises the problem of hedging a large fixed-rate bond issuance swap. A corporate issuer pays fixed on its bond and receives fixed in a swap to obtain floating-rate exposure; the bank on the other side must manage the resulting interest-rate…
Convertible bond parity compares the value of the shares obtainable on conversion with the bond’s face value. When the stock and bond are quoted in different currencies, the share value must first be converted into the bond’s currency using the relevant…
The document asks how to infer a six-month LIBOR fixing from three-month Eurodollar futures. It identifies the futures-implied three-month rate as 100 minus the quoted futures price, expressed as a percentage, and asks how to extend that information to a…
The document considers whether a same-currency floating-for-floating interest rate swap has gamma, meaning sensitivity of value to changes in rates. It contrasts two views: distinct indices with different yield curves can create gamma, while a typical tenor…
The document explains how a bond’s cash flows can be valued using a sequence of forward rates. Each coupon is discounted by multiplying the accumulation factors for the forwards that span from today to that coupon’s payment date. By no-arbitrage, this…
The document asks whether overnight index swaps need a convexity adjustment when building an OIS curve, given that overnight rates are published after the accrual period. It presents an argument that OIS market quotes are coupon rates formed from compounded…
The document explains why a manually discounted cash-flow sum in QuantLib can differ from a bond’s dirty price, even when the same yield is used. The example uses a semiannual fixed-rate bond with an Actual/Actual ISMA day-count convention. The discrepancy…
The note distinguishes Eurodollar futures from zero-coupon bonds, despite their apparent connection to short-term interest rates. A futures position does not involve lending the contract’s notional principal. Instead, the trader posts margin, and gains or…
The document explains how to simplify the present value of a bond’s fixed annual coupons using the finite geometric series formula. Discounting each coupon produces a sequence with first term and common ratio equal to the one-period discount factor. Summing…