# All Questions

109 views

### How to derive an option price for an asset with these dynamics?

Assuming my underline asset price follows the process: $$d\ln (F_{t,T})=-(1/2)\sigma ^2e^{-2\lambda(T-t)}dt+\sigma e^{-\lambda(T-t)}dB_t$$ How should I derive an option price formula?
906 views

### Replicating strategy in the Black-Scholes model

I have a two-asset Black-Scholes model for a financial market: $dB_t=B_t r dt$ $dS_t=S_t(\mu dt+\sigma dW_t)$ I introduce a European claim $\xi=max(K,S_T)$ with maturity $T$, for some fixed $K$. I ...
601 views

### Why gamma and theta have opposite signs?

I saw some textbooks use B-S equation to explain why gamma and theta have opposite signs in most of the cases. For example, John Hull's classic book. The explanation is, first write B-S equation in ...
74 views

### How can I interpret US treasury?

I try to understand US treasury in the bond markets provided by bloomberg: In this webpage, I have a few questions, for instance taking 12month-Bill: (1) What is the maturity date? I find that it ...
322 views

### Microstructure effects for a market maker? [closed]

When building a market maker that rests limits orders on both sides of the book, what microstructure effects should we be looking at to price those orders? I’m targeting liquid futures markets, and ...
236 views

### What are $d_1$ and $d_2$ for Laplace?

What are the formulae for d1 & d2 using a Laplace distribution?
112 views

### Why are there two expressions for the Black-Scholes hedging portfolio

I am new to derivatives pricing and am trying to understand why there are two different expressions for the Black-Scholes hedging portfolio. The first approach, used in books like Hull, stipulates ...
1k views

### Which CEP platform is most popular for trading systems? [closed]

I heard that trading firms employ CEP platforms such as StreamBase, Marketcetera, JBoss Drools, and etc., to implement trading systems. I wonder which one is most popular and the recent trend of ...
281 views

### Black-Litterman, how to choose the uncertainty in the views $\Omega$ for smooth transitions form prior to posterior

In Black-Litterman we get a new vector of expected returns of the form: \begin{align} \Pi_{BL} = \Pi + \underbrace{\tau \Sigma P^T[P\tau\Sigma P^T+\Omega]^{-1}}_{\text{correction}}[Q-P\Pi] \end{align} ...
153 views

### What is wrong in this GBM simulation?

I am trying to generate a few samples of GBM using the following very simple MATLAB code: ...
181 views

### Calculating time value of an option

Can someone provide me with a robust way of calculating the future time value of an option or point in the direction? I have been reading a lot about the factors that affect it and about betas and ...
3k views

### What is the equation for Garman-Klass volatility?

I want to calculate realized/historical volatility for the underlying products of various options using the Garman-Klass estimator, but I can't see to find an equation, although I know it involves ...
836 views

### Risk-Free Rate determinant in CAPM

I have trouble understanding what type of maturity to use when calculating CAPM. My professor uses the 3-Month risk-free rate to ...
631 views

### How to use the stock as a numeraire to price a derivative with payoff of the form $(S_T f(S_T))^+$?

I have $\frac{dS_t}{S_t} = rdt + \sigma dW_t$ as usual under the money-market numéraire and I need to price options with payoffs $$(S_T f(S_T))^+$$ How do I express the stock dynamics using the ...
121 views

### Greeks for binary option?

How to derive an analytic formula of greeks for binary option? We know a vanilla option can be constructed by an asset-or-nothing call and a cash-or-nothing call, does that help us? Wikipedia states ...
429 views

### What is Margin of Conservatism

In modelling loss given default,(LGD), we often encounter the term Margin of Conservatism. What is it in layman's terms? I am not able to find a wikipedia page on this.
269 views

### Interpolating probabilities of default

I have a table of cumulative probabilities of default of industrial bonds, in time and credit rating. It is similar to S&P whitepaper here. Basically, it looks like this (sample numbers): ...
186 views

### Forex trading scenarios - calculating units

I'm trying to build an automated forex trading system and I'm trying to understand how to calculate the number of units I should specify for each trade in different scenarios. Say for example I have ...
149 views

### Finding Arbitrage in two Puts

A European Put Option on a non-dividend paying stock with strike price 80 is currently priced at 8 and a put option on the same stock with strike price 90 is priced at 9. Is there an arbitrage ...
671 views

### Calculate bond returns from yields

I have to construct and evaluate portfolio of bonds and stocks, namely I need to get return on portfolio, standard deviation and sharpe ratios. I have weekly data that contains stock prices, and I ...
70 views

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325 views

### How to use Halton sequence in monte carlo simulation

Does anybody know how to use the Halton pseudo random technique in monte carlo simulation. I'm able to generate the sequences and I know they are correct. I checked a couple of numbers from different ...
74 views

### Portfolio Optimization with equal weight for assets selected

I have a data frame of bets, with 1 being a win and 0 being a loss. These bets are correlated so I cannot just pick the highest winning percentage. Goal is to get 2 optimizations, 1 for max sharpe ...
51 views

### How to get all securities in an asset class from IBPy (Interactive Brokers python API)

Would like to know how to request all securities in an asset class using IBpy, the python wrapper for the Interactive Brokers API. For example getting all currency pairs in the class forex ('CASH'), ...