The Brownian Bridge algorithm belongs to the family of Monte Carlo or Quasi-Monte Carlo methods with reduced variance. It generates sample paths which all start at the same initial point and end, at the same moment of time, at the same final point.

Based on the Hull-White single-factor tree building approach, respective trinomial trees are constructed for the short-term interest rate and stock’s price processes. Using the Hull-White two-factor tree building procedure, a combined tree is constructed by matching the mean, variance and correlation corresponding to each combined tree node. T…[Read more]

Two parties have established Securitization Partnership (the “Partnership”), to distribute and administer the mutual funds. Under the agreement the Partnership will finance the commissions to brokers selling mutual fund units on a deferred sales charge basis and, in exchange, will receive mutual fund distribution, administrative and redemption fees.

We propose a model for pricing a convertible bond (CB) where the issuer’s stock price is possibly denominated in a different currency from the bond’s coupon currency. We use a three factor, trinomial tree based model for pricing the CB.

A forward starting option is an option whose strike price is not fully determined until an intermediate date before expiration. A model is used to compute option price, Delta, Gamma, Hedge Rho, Discount Rho, Vega and Theta.

We present a model for calculating the price of European call and put options in the domestic currency on an underlying foreign equity with tenor up to 7 years. The calculation include option price, Delta, Gamma, Hedge Rho, Discount Rho, Vega, Theta.

This article presents analytics for pricing quanto Himalayan options on equity, where the single best return is locked in each fixing period. Specifically, we considered the impact of the quanto adjustment term on calibration and the computation of option premium and hedge ratios

The valuation methodology is based on the Monte Carlo spot LIBOR rate model. The model generates spot rates which log-normally distributed at each reset date. These spot rates are derived from corresponding forward rates whose stochastic behavior is constructed in an arbitrage-free manner. Outcomes for the spot rate are generated for each reset…[Read more]

Payoff for equity GIC requires a dynamically created basket such that the weight factors incorporate a division by the spot levels on the issue date, which converts the payoff to one based on a basket of comparative returns (rather than basket returns). To automate feeds on a daily basis we will need to create new baskets on a daily basis.