# All Questions

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### Foreclosure Implications on CMO Cash Flows

I have a simple homework project where I am to create some models to value a CMO. Please make any simplifying assumptions necessary to provide an answer. Prepayment is simple to account for. This ...
51 views

### use synthetics for a pairs trading strategy

Let us say I want to pursue a pair trading strategy between stock A(long) and stock B(short). Can I replace this stocks with their synthetic option equivalents and have the same risk reward profile ...
90 views

### Is the volatility for these two SDEs the same

$$(1) \ \ d\left(\frac{1}{S_t}\right) =\frac{1}{S_t}\left(\sigma^2-r\right)dt +\frac{1}{S_t}\sigma dW_t$$ and $$(2) \ \ dS_t = S_t rdt + \sigma S_t dW_t$$ How can you prove that?
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### What math concepts are used in designing volatility models

What topics in statistics and mathematics do I need to understand thoroughly before I can start to dabble with stochastic volatility models and volatility arbitrage?
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### Is it possible for two securities to have the same first 8 characters of a cusip, but differ in the check sum?

CUSIP is a 9 character long identifier. The last digit is a check sum checking the first 8 previous characters. This seems to me that it is not possible for two securities to have the same 8 ...
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### Why gamma for ATM option decreases as volatility increases

Why is the gamma for an at the money option less when volatility increases. Intuitively ,I thought that increasing volatility means more uncertainty,hence the option price will be more sensitive to ...
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### What are the dynamics of the reverse of this FX process?

Assuming the dynamics of the exchange rate between two currencies at time $t$ is given by: $$dX_t=\Delta r X_t dt+ σ X_t dW_t$$ Is the FX Reverse process $\frac{1}{X_t}$ a brownian motion? How can ...
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### Overlapping Value-at-Risk Backtest Data an Issue?

My understanding of VaR model back testing is thus: ~~ t: Calculate daily VaR using look back data over n past days t+1: Compare daily return against VaR, record breach if one occurred, repeat ...
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### Modified or Macauley Duration in python

are there any existing python modules that can calculate Modified and/or Macauley Duration of a bond.
39 views

### Libor Market Model: numeraire change

I am currently studying the Libor forward market model, and although I get the mechanics behind the main arguments, I still do not have an intuitive idea of what's exactly the objective behind ...
37 views

### PCA on term structure of interest rates

Interest rate time series seems to be non-stationary whenever test is performed But covariance or correlation matrix is derived from term structure time series which are non stationary and later PCA ...
51 views

### When $C(K_2) = C(K_1)$ for call options with the same expiration date

The exercise is to show $C(K_1) \geq C(K_2)$ where C(K) denotes the value of a call option on a stock price S with strike price K. We assume the expiry is the same for both. I have proved this by ...
45 views

### Where to get master list of mutual funds?

I cant seem to find a straight answer anywhere on Google for this. I would like to create a master list of all known mutual funds and their ticker symbol. Is it possible to get this data from ...
31 views

### ZSpread in multiple curve framework

how do I calculate ZSpread for a govt. bond in a multiple curve framework? I have not come across the exact details anywhere so I want to verify if I'm right. Below is my understanding, please correct ...
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### How to price an European call on zero-coupon from the yield curve?

It is known that the price of an European call of maturity $T^*$ on zero-coupon of maturity $T$ is given by $$p(0,T)= B(0,T^*)\mathbb E ^{\mathbb Q_{T^*}}\left[ (B(T^*,T)-K)^+\right]$$ where ...
36 views

### Total return index for interest rates (EURIBOR 3M)

I would like to calculate a daily total return index for the EURIBOR 3M. • Should I freeze at the beginning of each qurter die rate? (With this methology the developing of the index depends on the ...
37 views

### Calculation of Returns and Risk Metrics for L/S Portfolio

I am trying to build a test for a long/short portfolio. I am aiming for market neutral and have put together a long portfolio as well as a short portfolio (see below). However, I am not sure if I am ...
48 views

### Why IV shares an inverse relationship with underlying

Why does implied volatility usually fall when underlying rises and rises when underlying falls? Implied volatility is a length of one standard deviation. From this definition, is it possible without ...
58 views

### What is delta neutral

Does delta neutral portfolio mean you add up deltas of all positions and the sum should be zero? Is this true? Also, in a FX portfolio consisting of FX calls puts and Fwds, if FWD delta is given for ...
101 views

### Relation between IV and SD

In option pricing, volatility naturally appeared through the Black-Scholes (BS) model where it was a coefficient for the linear diffusion term $\sigma S\,\mathrm dW_t$, and as such represented the ...
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### finance - using CAPM [closed]

The risk-free rate is 4%, and the expected return on the market portfolio is 12%. Using the Capital Asset Pricing Model: a. What is the risk premium on the market? b. what is the required return on ...
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### Pricing rule shall be a martingale measure

In the book "Financial Modelling with jump processes" by Cont and Tankov there is a chapter that explains martingale pricing principles. It is not extremely formal, but gives the idea underlying the ...
62 views

### Various ways to choose bonds for a butterfly strategy?

What are the various ways to choose bonds for a butterfly strategy? For eg., I already know the most common one i.e., choosing short and long term for the wings (barbell) and the medium term for the ...
44 views

### How to calibrate the Hull-White model using cap prices?

I'm given cap prices and swap rates, and i'm trying to calibrate the Hull-White model to them. I then want to use the model in order to price a swaption. I know that the model can be calibrated from ...
59 views

### is Sum of P&L equal to portfolio value

For a portfolio containing FX options, would the sum of P&L for each option be the portfolio value?
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### Web Based Market Profile Code

I am looking for someone who knows of or has access to web based charting code using Market Profile. Does this exist out there? I would prefer the source code so I can make changes to it. Any ...
33 views

### volatility grouping

I was working on risk levels of a combined portolfio (includes options,futures as well as stock). While using greeks we can asses some value of a portolio, but when one needs to assess some kind of ...
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### Sample long/short portfolio profit and loss template

Does anyone have a suggestion of where I might be able to find a profit and loss template for a long/short equity portfolio? Thank you in advance.
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### FX Delta Conventions

I'm currently reading Iain Clark's book Foreign Exchange Option Pricing and I got stuck at one sentence in the beginning of Section 3.3 that I feel is important to understand. He writes: FX ...
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### TAQ NYSE OpenBook

Where can I get/buy the TAQ NYSE OpenBook for specific stocks on specific days? I don't need a whole year of all stocks. I just want to enter a day and a stock, so I can download the order book data ...
33 views

### Derivation of the formulas for the values of European asset-or-nothing and cash-or-nothing options

The asset-or-nothing European option pays at t = T the value of the stock when at time T that value exceeds or is equal to the exercise price E, and nothing if the value of the stock is below E. So, ...
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### float64 to store price data: is precision sufficient?

I am looking to store equity price data in a hdf5 table. The use will be purely as a historical archive, not as day-to-day data source. Options One option would be to store base10 significand and ...
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### Curve Euribor - Euribor 3M

I'm setting up some Euribor 6M and Euribor 3M curves. So far i have all the data and quotes i need, but i'm having trouble defining the firsts points of the curve. I'm currently using 6M Euribor and ...
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### CFD on warrants or options?

I'm looking for CFD-type contracts based off warrants or ETO prices; does such a thing exist? I'm interested in Asian markets; Hong Kong, Singapore, Japan.
56 views

### Long/Short Backtesting Set up

I am going to be backtesting a Long/Short equity strategy and need some guidance on how best to deal with the short book. I was thinking that for each portfolio I would go long 50 equities and go ...
72 views

### How to get real-time data for Fama-French model?

For Fama-French model we need SMB (small[market cap] minus big) and HML (high[book-to-market-ratio] minis low). I want to ...
145 views

### Optimal Portfolios

In modern portfolio theory, one famous problem is the Markowitz mean variance optimal portfolio, defined by solving ...
47 views

### Delta formula for FX vanilla option

What value do you use for annual dividend yield? It does not apply in case of FX.
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### Mortgage parameters

I'm looking for readings about the trade-off between the parameters of a mortgage: length of the mortgage, percentage of the principal to repay, inflation rate (at which the payment growths) and total ...