2
votes
2answers
198 views

How Much Capital is Needed to Start an Arbitrage Strategy?

I'm trying to experiment with a simulated simple arbitrage strategy. I'm not doing this to actually invest, I'm just curious if the market is inefficient enough for this to be feasible. Every ...
3
votes
2answers
143 views

Using Fourier Transforms for stock option pricing with stochastic interest rates

Can Fourier transforms be used to derive the joint probability density function of stochastic interest rates and stock price Brownian motions of call options under stochastic interest rates? So lets ...
2
votes
4answers
293 views

Implementing A 50/50 Prediction Model Strategy

Reworded the question for clarity (see edits for original post): How can one knowingly foresee where a 50/50 prediction model will be profitable? For previous posts: I understand that if I have a ...
1
vote
2answers
88 views

Joint distribution from expectations

Given two random variables $X$ and $Y$ and let $K$ be a constant value. Assume the expectation $\mathbb{E}[X(Y-K)^{+}]$ is given for all possible values of $K\geq 0$. Is there a way to derive the ...
2
votes
1answer
70 views

How to distinguish total return and absolute return funds in the KIID

I hope this question is on-topic. It is not relally a quant question but it is a question that quants in risk management in asset management firms have to answer: In the KIID (key investor ...
1
vote
1answer
72 views

Plot Evolution of portfolio weights over time in R [closed]

Is there any function for plotting the evolution of portfolio weights over time in r?. I have a matrix of portfolio weights from an equal weighting strategy at rebalancing times and want to plot ...
1
vote
3answers
188 views

What are the unfair order execution/routing advantages HFT firms apparently have?

I originally thought that you have an orderbook per stock and orders would be filled on the time at which they arrive. Arrive first and you get the best price and the qty in the orderbook is reduced ...
0
votes
0answers
45 views

commodity futures pricing vs. underlying spot rates in volatile markets, at depth of book

Are futures contracts or their underlying spot rates, more or less efficient, at depth of market, with volatility? Say for example we have: 1 E7 (CME contract) = 62,500 euro Should the future or ...
0
votes
0answers
16 views

For Probability of Default in retail credit what is more popular logistic regression or GLM with Poisson distribution and why?

Trying to understand which regression model is more popular in retail credit card industry Logistic regression or GLM with Poisson distribution and why?
0
votes
1answer
44 views

Correlation of Dividend Yield Index/Stock

I need your experience and intuition about dividend yields. Indeed, I would to know if the dividend yield of and Index is correlated with the dividend yields of it's componenets separately? The ...
0
votes
1answer
40 views

Combining BHHH and Levenberg Marquardt

I already asked a question related to this here: How to apply Levenberg Marquardt to Max Likelihood Estimation I know understand how Levenberg Marquardt (LM) can be applied to the objective ...
0
votes
0answers
27 views

Obtaining historical data of individual level predictions from prediction markets

I have been searching the internet but was unable to find data of the following form: prediction of events for which we already know the outcome (i.e. markets that have already closed) data for each ...
0
votes
1answer
39 views

Future spot price versus current forward price

Which are the two conditions necessary to claim that the future spot price will have as many chances to be above or below the current forward price?
0
votes
1answer
29 views

Common point between IR and Vol option pricing models?

What is the common point between pricing models on options on Interest Rates and options on Volatility?
2
votes
1answer
79 views

How do I prove that $\lim_{K\searrow0}\frac{P(K,T)}{K} = \mathbb P(S_T=0)$?

I am trying to prove that $$\lim_{K\searrow0}\frac{P(K,T)}{K} = \mathbb P(S_T=0)$$ where $P(K,T)$ denotes the put option price with maturity $T$ and strike $K$ for some stock $S$. Assuming interest ...
2
votes
1answer
87 views

How to apply Levenberg Marquardt to Max Likelihood Estimation

In this paper on p315: http://www.ssc.upenn.edu/~fdiebold/papers/paper55/DRAfinal.pdf They explain that they use Levenberg Marquardt (LM) (along with BHHH) to maximize the likelihood. However as I ...
1
vote
2answers
106 views

what is the actual point of vega on real option data

For a call option, we know that the vega is the derivative of the price wrt to the volatility. However the volatility, in that context, actually refers to the implied volatility of the specific call ...
3
votes
5answers
123 views

economic facts that causes the financial time series to be heavy tailed

When reading a tutorail on extreme value theory, I once meet the following claim ...
5
votes
1answer
203 views

Regime-Switching Model for detecting market shifts

I'm always wondering whether anyone has utilized regime-switching models successfully in forecasting or trading. Academia has long discussed this topic in-depth, such as using Regime Switching ...
2
votes
2answers
143 views

How to combine trading signals to achieve higher capital efficiency?

I trade use a completely automated approach where all signals are generated by proprietary trading strategies. However, recently I encountered an challenging problem: Imagine we have 3 Strategies ...
7
votes
6answers
491 views

Self-financing and Black-Scholes-Merton formula

Self-financing is an important concept in financial product replicating, normally used in pricing. I read about several ways to derive Black-Scholes-Merton (BSM) formula. Seems some approaches ...
2
votes
1answer
159 views

Does pricing quant still have bright future?

With regulators tightening the tether, tradings are shrinking and exotic products are fading out, or as my quant friends told me so. By the lag of education to the market, more MFE graduates are ...
1
vote
1answer
100 views

In a Black-Scholes world, why must volatility be strictly increasing in time-to-expiration?

This question is from Rebonato's Volatility and Correlation 2nd Edition. Rebonato states that if $\sigma_T^2T$ is not strictly increasing, it would be simple to set up an arbitrage. Unfortunately ...
3
votes
1answer
124 views

Arbitragefree Pricing: Q vs. P

I read that the Fundamental Theorem of Asset Pricing states, that a market is arbitrage-free if and only if there exists an equivalent martingale measure Q, under which the discounted asset price ...
2
votes
2answers
99 views

How current prices is formulated in markets?

I can't understand how immediate prices are formulated in stock & currency (Forex) markets. I have been informed that every tick means one new deal that closed in current price, but this can't be ...
1
vote
3answers
140 views

Do hedge fund trading desks use portfolio optimization?

I tend to think that hedge funds that actively trade (and most of the ones I have seen trade very actively), don't use optimization methods like MVO or ...
-1
votes
1answer
48 views

European Option Technical Exercise

I like to ask a practical question regarding the exercise of European Options: As we know, one may exercise a European option only at maturity $T$. But for example, if the option can be exercised ...
2
votes
1answer
113 views

Pricing an interest rate swap using Eurodollar futures

I see this posted but no answer given. I think it would be a good idea if we have a question on here to illustrate an example of how to price an interest rate swap. So far, I understand that that for ...
11
votes
4answers
504 views

Quantitative Math required for Market-making?

I understand there is an awful lot of Quantitative Math required for statistical arbitrage/algorithmic trading. However, would someone "in the know" be able to tell me whether there is less ...
1
vote
1answer
65 views

forward vs spot simply-compounded spot interest rate

Question about forward vs spot simply-compounded spot interest rate.Some definitions $P(a,b)$ a zero coupond price at time $a$ and maturity $b$ $L(a,b)$ simply compounded spot interest rate set at ...
0
votes
1answer
124 views

Bloomberg Zero Coupon Rates

As some of your may know from my other posts, I am working on a Dynamic Nelson Siegel (DNS) based relative value trading model. On simulated data (which satisfies all the assumptions) of the DNS it ...
0
votes
1answer
56 views

OIS discounting pre and post crises

I have a Dynamic Nelson Siegel (DNS) based rv model. I want to know if I can use pre and post-crises curves interchangeably in my calibration and out of sample testing. I.e. those without OIS ...
0
votes
3answers
206 views

What Is A Good Success Rate Using Machine Learning For A Beginner?

I know this question will be quickly destroyed and my account summarily banned, but I just have to ask: For a trader using machine-learning algorithms (SVMs, ANNs, GAs, Decision Trees) for ...
1
vote
1answer
47 views

is there an accepted method for quantifying risk of inaccuracy of nascent trm systems?

Have a somewhat meta question here. I am part of a trading risk management implementation project. I also manage day to day risk reporting to management and the trading desks. Our implementation was ...
0
votes
2answers
54 views

Infinite autocorrelation - Unit root?

I have a time series of gold prices, on which I want to build an ARIMA model. The series is autocorrelated and if I can difference as often as I want, it always is. First: data: d1gold Dickey-Fuller ...
1
vote
4answers
135 views

Why can sometimes stock prices rise when interest rates rise?

Basic macroeconomics theory states that stock prices are inversely correlated with interest rates, i.e., when interest rates rise, borrowing is more costly, and thus companies with huge debt would be ...
4
votes
1answer
103 views

questions on VAR manipulation

The book of Financial Risk forecasting by Danielsson gives the following example about VAR manipulation. I have two questions: 1) If $0> VAR_1 > VAR_0$ , why the following figure plots it as ...
2
votes
1answer
49 views

Weighting several returns over different time frames

I have a set of annualized returns over 4 time periods: 10yr, 5yr, 3yr and 1yr. Is there a way to weight each return to have a "more representative" return?
3
votes
1answer
60 views

Solving the Jamshidian Zhu (1997) PCA short rate model

This is my first time posting a question. I have very limited experience in the field of stochastic calculus and interest rate modelling. I have been tasked with implementing the short rate model ...
1
vote
1answer
68 views

Arbitrage Strategy Proof in Bjork

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ this proposition Proposition 2.9 Suppose that a claim X is reachable with replicating portfolio h. Then any price at t=0 of ...
3
votes
6answers
209 views

Do quants need to know Accounting?

Do quants need to know Accounting? In my school's undergrad Quant program, we had Financial Accounting and Managerial Accounting, which were listed as prerequisites for our undergrad Finance ...
2
votes
0answers
87 views

Johansen-Ledoit-Sornette Model

im trying to predict crash time by using lppl model(JLS). My codes can run, but the error is to high....I try with some other initial values, but still can't reduce the error.....How i can reduce ...
2
votes
0answers
43 views

Simple Forward Interest Rate Proof

Just trying to check my logic here: Let $Z(t,T)$ be a Zero-Coupon Bond with maturity $T$ bought at time $t$, $S_m$ be the spot interest rate for time $m$ and $S_n$ for time $n$ respectively, where $n ...
1
vote
1answer
86 views

Hedging a Long Equity Swap by Shorting the Stock

Suppose that I enter an Equity Swap, such that I pay a floating rate and I receive the equity return. The payment is every one year for both the rate and the return, and the swap expires in one year. ...
1
vote
1answer
101 views

Black–Karasinski - Market Price of Risk

In the past I have calibrated simple short rate models to the term structure by using maximum likelihood to get the parameters of the Vasicek/CIR sde, and then use the ZCB formula and the current ...
-1
votes
1answer
55 views

how to calculate avarage variance and avarage covariance

I would like to figure out how to calculate av.variance and av.cov. I know how to calculate portfolio variance( for large ...
1
vote
2answers
101 views

Why is Value at Risk non-negative?

When reading the book of Financial Risk Forecasting, I saw the following example. I am not very clear about two points marked with yellow and green respectively. ...
5
votes
1answer
100 views

American Swaption Heding with Malliavin Calculus

Hedging American Swaption Hello, I priced an American swaption using Black model with swap rates diffusion to find the european (call) price at t. $$ C_t = (\delta \sum_{j=n+1}^{M+1} ...
3
votes
1answer
146 views

Pricing a FixedRateBond in Quantlib: yield vs TermStructure

I am trying to price a simple U.S. treasury in QuantLib, using two methods. The first method calls FixedRatebond.dirtyPrice(...), passing in a YTM and other parameters. The second method involves ...
4
votes
1answer
118 views

Risk-neutral pricing in incomplete markets

I know that in order to use the risk-neutral valuation principle, that is, pricing options as their payoff function under a risk neutral measure, one has to have a complete market. But in the ...

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