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1answer
143 views

FX Option Pricing Under Basis Adjustment

Given money market rates such as USD LIBOR and EURIBOR and in the context of FX options valuation, I have been reading about the importance to include a so called basis adjustment to one of the ...
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votes
3answers
936 views

Parametric/Analytical VaR

Suppose I want to calculate VaR for a known distribution with mean $\mu$, variance $\sigma^2$ and $\alpha$-quantile as, $VaR_{\alpha}$ = $\mu + \sigma q_{\alpha}$. For a Gaussian distribution it is ...
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votes
1answer
133 views

Possible to use diffusion equation(s) to price derivatives with non-zero boundary conditions?

One of the reason the Black-Scholes can be transformed into the heat equation is that calls and puts have a zero boundary condition on their contingent payoffs. Define the terminal payoff condition ...
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votes
2answers
217 views

Valuation of FX vs. Commodities Barrier Options

With reference to my previous question about the computation of a barrier option delta, @LocalVolatility referenced a nice closed form solution to value barrier options on a stock paying a dividend ...
0
votes
1answer
63 views

Why does a higher stock value imply a higher call option value [closed]

This may seem like a very dumb question, but if the underlying stock price is greater, then why should a call option be worth more. My reasoning is that, if the option price is not affected by the ...
0
votes
1answer
63 views

Compute the (Net) Present Value

Let's have a project where we invest 1000 at the beginning of year 1 and 1000 at the beginning of year 2. At the end of year 2 the income is 2200 and the project is closed. Person A discounted with ...
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votes
1answer
2k views

How can I calculate Fama-French Beta, RMW and CMA factor for a particular stock?

I already have a method of calculating Size: the natural logarithm of the market value of equity at the end of the fiscal year. But how to account for the Market Risk Premium, RMW, CMA and MOM ...
0
votes
2answers
142 views

Calculating units in a cross currency short trade

If I have a forex account with a broker and a balance of 100 USD, and I'd like to short EUR/JPY, how many units can I short? How is this calculated? Which currency pair do I use to translate between ...
0
votes
1answer
942 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 ...
0
votes
2answers
933 views

FX Option pricing on Forward vs. Spot

In a GBM world with riskless domestic and foreign interest rates, what would be the correct model for a FX plain vanilla option given the statement that this option is priced on the forward? I guess ...
0
votes
2answers
1k views

What’s the derivative of the sharpe ratio for one asset? Trying to optimize on it for a model

It seems most Sharpe ratio derivations seem to be for portfolios but I am just tracking a single asset? $SR = (r_p - r_f) / \sigma_p$ but what would I derive with respect to for an optimization/ ...
0
votes
1answer
914 views

Getting the next price of a GBM (Geometric Brownian Motion)

I am writing a program that creates realizations of a GBM. Starting from an initial price, I get the following price with this formula: ...
-1
votes
1answer
315 views

Momentum strategy cumulation of K-monthly returns over multiple months [duplicate]

In a momentum strategy, every month you form a portfolio of winners. Each of these portfolio you hold for K months. So after K months you sell the 1st portfolio, after K+1 months you sell the next and ...
-1
votes
1answer
124 views

Does the price of an asset need to be constant in order for its volatility to be zero? [closed]

What are the conditions for the volatility of an asset to be zero? In my opinion, the only condition is that the return on the asset needs to be constant. On the web, some people imply that the ...
-1
votes
1answer
1k views

Calculating arbitrage- S&P 500 stocks vs S&P 500 Index future?

How exactly would I go about investigating whether the S&P 500 stocks were currently over-valued compared with the price of the S&P 500 Index futures contract? Is it just a case of taking each ...
-1
votes
1answer
102 views

Separate market and limit orders from market depth/tick data

From the website https://www.algoseek.com/equities/, we can get a sample of the full depth market/tick data. From the paper https://arxiv.org/pdf/1710.03870.pdf page 8, I would like to extract the ...
-1
votes
1answer
126 views

What is the connection between the federal funds rate and US government bonds

If the Federal Funds Rate changes, does that affect bond prices? How? Also, is there any connection between the Federal Funds Rate and the coupon payment on US bonds?(for those that have a coupon ...
-1
votes
1answer
384 views

If I am very fast (less than 10 microseconds latency) what would be the first strategy to execute? [closed]

Let's assume I found the holy grail of low-latency trading (which I didn't). For educational purposes, what would be the first strategy I would direct my trading code?
-1
votes
1answer
2k views

Given $S$ is a Geometric Brownian Motion, how to show that $S^n$ is also a Geometric Brownian Motion?

Suppose that a stock price $S$ follows Geometric Brownian Motion with expected return $\mu$ and volatility $\sigma:$ $$dS = \mu S dt +\sigma S dz$$ How to find out the process followed by variable $...
-1
votes
1answer
251 views

Accuracy for GARCH models

How does one calculate the accuracy of forecasts given by GARCH models considering GARCH is run on returns. Assuming GARCH is a derivative of a regression based prediction model, would regular ...
-1
votes
2answers
349 views

Close form solution for Geometric Brownian Motion

I have a very fundamental problem, please help me out. I am little confused with the derivation for the close form solution for the Geometric Brownian Motion, from the very fundamental stock model: $$\...
-1
votes
1answer
151 views

Use random-shift Halton sequence to obtain 40 independent estimates for the price of a European call

Background Information: Random-shift Halton sequence: Consider the first six Halton vectors in dimension $2$, using base $2$ and $3$: $$\begin{bmatrix} 1/2\\ 1/3 \end{bmatrix}, \begin{bmatrix} 1/4\\ ...
-2
votes
1answer
400 views

How would you price an option with payout ln(St) where St is the stock price at time t

I know it has to be done through martingales, but I am not fully sure how to do this BSM pricing.

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