A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...

A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...

In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the contract's maturity the contract is perfectly hedged. We...

We present a novel empirical benchmark for analyzing credit risk using “pseudo firms” that purchase traded assets financed with equity and zero-coupon bonds. By no-arbitrage, pseudo bonds are equivalent to Treasuries minus put options on pseudo-firm assets. Empirically, like corporate...

An option market maker incurs funding costs when carrying and hedging inventory. To hedge a net long delta inventory, for example, she pays a fee to borrow stock from the security lending market. Because of haircuts, she posts additional cash margin to the lender which needs to be financed at...

Unlike tranches of synthetic CDOs, that depend only on the defaults of the underlying securities, tranches of cashflow CDOs also depend on the interest cash flows from the coupons of the securities. Whilst fast, accurate, (semi-)analytic methods exist for pricing synthetic CDO tranches (Hull and...

Regulations impose idiosyncratic capital and funding costs for holding derivatives. Capital requirements are costly because derivatives desks are risky businesses; funding is costly in part because regulations increase the minimum funding tenor. Idiosyncratic costs mean no single measure makes...

Credit Support Annexes (CSAs) that allow multiple currencies as collateral give rise to a collateral choice option in discounting. Numerical efficiency for valuing this optionality is key and first-order approximations have been proposed previously. In this paper, for the case of two currencies,...

This article provides an in-depth analysis of pricing and structuring of contingent convertibles (CoCos). These debt instruments convert into the equity of the issuing bank or suffer a write-down of the face value upon the appearance of a trigger event. This trigger mechanism provides an...

This study estimates the parameters of credit derivatives, equity derivatives and structural models for bank recapitalisation in Nigeria by employing contingent convertibles (CoCos) and using the Nigeria Treasury Bill rate for 2009 as the risk-free rate, estimated recapitalisation requirements...