0
votes
0answers
21 views

Bond's bid-ask spread with no arbitrage assumption

Suppose I have a bond with unknown bid-ask spread, and a portfolio, containing it and also other bonds, all with known bid-ask spreads. How can the unknown spread be inferred? I assume there should ...
3
votes
3answers
155 views

Why Central Bank carry out Qe when they can directly force banks to lower down the interest rate?

To boost the economy, the central bank can do it either by lowering down the interest rate nor carry out QE. But QE objective is to lowered the interest rate also so banks can give out more loan. This ...
1
vote
1answer
58 views

How to estimate the price of a European call when the underlying is not tradable?

Assume you have a vanilla call on an underlying $S$ with strike price $K$ and expiry at time $T$. Let's say that $S$ follows a GBM with volatility $\sigma$. In general, one would use the ...
1
vote
0answers
51 views

Fourier transform covariance estimator

I am estimating realized variance and covariance by the estimator described in this paper, and relying on Fourier Transform. Now, as my data is one day of data in ultra high frequency, so that the ...
-3
votes
1answer
33 views

Liquidity effect in case MS decrease

What is the result if the liquidity effect is grater than other effects in case of decreased money supply? I got this question on the exam, In case of an increase in the money supply by the central ...
1
vote
1answer
90 views

FIX latency and clock syncronization

We are trying to see latency from our server to different LPs . For that we are checking sendingtime value (from them) and current clock in our server. What we saw is difference of +-20ms between ...
1
vote
1answer
62 views

MSRV estimation in R

What are the R packages that let you estimate Multi Scale Realized Volatility (MSRV)? So far I've only found highfrequency (which comes with Realized Kernel as well), but from what I understand it ...
1
vote
1answer
90 views

Anomaly or feature from Quantmod in R regarding getFX - currency data

I am using R to analyse stock data, using the quantmod package to get all sorts of data, but here specifically FX data using the function ...
2
votes
2answers
104 views

Is portfolio beta additive under all return distributions?

If beta is additive i.e. ${\beta}_P =\sum w_i \beta_i$, shouldn't the two methods below yield the same number? Method 1: Estimate beta for each asset in the portfolio. Then ${\beta}_P =\sum w_i ...
1
vote
1answer
40 views

Purpose of ISOs

Why was ISO (Intermarket Sweep Order) introduced? I read that it was introduced to help fill large orders. Some explanation is here: ...
2
votes
3answers
115 views

How are referenced asset gains routed in a credit derivative?

Lets assume for the sake of the example that we are talking about a Total Return Swap. The flow diagram is something like this. Lets assume the Payer in this instance is a Hedge Fund, and the ...
1
vote
1answer
29 views

A citizen's life as an investment project (from the State's PoV)

An average citizen's life can be seen as an investment project: the State starts investing into prenatal care, the child's education etc., a young man starts making money and paying taxes (breaks even ...
2
votes
1answer
52 views

Weights in Portfolio Attribution when considering Currency

I'm performing a simple Portfolio attribution with the Brinson 1985 model where returns are decomposed into both an allocation component and a selection. Using the formula, I first did the ...
0
votes
2answers
140 views

Pairs Trading Signals and Positioning

I am currently working on a research project for a pairs trading strategy and would like to know the correct positions to take when a signal has been triggered. Say we are using this equation to ...
2
votes
0answers
29 views

Expectation of expression with two currencies under forward measure

I'm trying to calculate the expected value, at time $0$, of a cashflow paid at time $T$, resetting at time $t$. The coupon is of the form: ...
0
votes
0answers
10 views

CDS Premium table Interploation for the Arrear case

If CDS spreads are given for say year end 1,2,3,4,5 .That means these premium payments are made in arrears. In that case we need to apply interpolation tools. But for which particular points do we ...
0
votes
0answers
29 views

Constructing Dedicated Risk Premia Strategies

I am trying to figure out the "best" way to construct investment strategies which are focused on capturing specific risk premia individually. From my understanding the traditional approach to capture ...
1
vote
1answer
45 views

Result linked to Black-Scholes evaluation

Why does this $$Se^{-D(T-t)}e^{-d_1^2/2} - Ee^{-r(T-t)}e^{-d_2^2/2}$$ equal to $0$? (Where $E$ is a strike)
3
votes
0answers
102 views

How many PHD level quant are there in US market? [closed]

How many PHD (economics+finance) level quants are work here in US market?
2
votes
1answer
49 views

What does martingale look like?

I'm doing a simulation of a CRR model and I'm trying to find parameters in order for the successive $S_t$s (stock prices) to be martingale. I'm assuming that if I'd create a function (and picked the ...
3
votes
2answers
46 views

Proper way to calculate the realized indiviual stock sharpe ratio

From the textbook, sharpe ratio is (return-riskfree rate)/risk However I wonder if I can use (return-index return)/risk, where the index acts as the benchmark, to calculate the sharpe ratio? I am ...
2
votes
3answers
70 views

How would I exploit arbitrage if risk-neutral pricing doesn't hold? (Option Pricing)

We are just learning about binomial option pricing, and how the up-factor and the down-factor must match the risk-neutral price. p * u + (1 - p) * d = continuous risk free rate compounded CRR ...
3
votes
3answers
226 views

Computing Pooled IRR from the IRRs of parts

Suppose I have two cash flows: CF1: -10001001001100 CF2: -20020301 I can compute now: IRR(CF1) = 10% IRR(CF2) =-55% IRR(CF1+CF2) = 4.46% Is there a way to compute (or at least get a fair ...
7
votes
2answers
196 views

How to price an option allowing to change a call into a put?

A recruiter asked me this question: Suppose you have the following contract: a call option with maturity T = 2 years the possibility to change this call into a put at t = 1 year What is the price ...
0
votes
0answers
22 views

Price of call (calibration)

I need to understand how we got this : $\forall i \in I $ $C^{*}_{0}(T_i,K_i)=e^{-rT_i}E[(S_{T_{i}}-K_i)^+|S_0]=e^{-rT_i+X_{T_{i}}}E[(S_{T_{i}}-K_i)^+]$ at How we pass from conditional expecation to ...
-1
votes
2answers
74 views

Is there a python code for estimating the parameters of geometric brownian motion?

I was trying to find the parameters of GBM but could not find a python code for the same.
0
votes
1answer
25 views

Error using ghyp-distribution function

I want to fit multivariate GH distribution on my data, and then generate simulations for that distribution. Using the instructions given in ghyp package, I wrote following lines of code in R. ...
0
votes
1answer
50 views

CCC-Garch predict

So I'm trying to measure the VaR of 2 stock with a multivariate GARCH model, so im using the CCC model. I need to predict the standard-diviation and the mean but the ...
0
votes
0answers
26 views

nloptr and portfolio replication using Kalman Filter

Let me first say that I am relatively new to R. For a school project I am trying to create a replicating portfolio using a constrained Kalman Filter. I have tried using nloptr without success - I am ...
0
votes
0answers
12 views

Option style with grant date

The following option exercise style is somewhere between American and European: There is a fixed grant date $N_1$ at which you determine at which date $N_2>N_1$ the option will be exercised. So ...
0
votes
1answer
24 views

How to simulate historical performance of a short position of a security?

I would like to calculate with R the inverse return of Bitcoin. My objective is to simulate the historical price and return of a short position opened in Bitcoin. The first method is to cumulate the ...
2
votes
0answers
58 views

Data source for a corporate bond yield curve?

Yield curves are a valuable tool for economic analysis. It is particularly interesting to analyse the difference between Government Debt yields and Corporate Debt yields (credit spreads). This gives ...
2
votes
2answers
157 views

Source for real-time tick data (stock price, etc.) updated every second?

For educational purposes, I'm looking for a source for now's real-time tick data for stock prices, or FOREX, etc., with a 1 second precision. Is there such free data feed? If not, could such data be ...
1
vote
2answers
36 views

Value of a continuous cash flow until a random time

I am trying to compute the present value of a continuous cash flow that lasts until a random time. The rate of the cash flow is denoted by $c$ and the random time is denoted by $\tau$. Then my claim ...
5
votes
1answer
100 views

Radon-Nikodym: Changing Distribution vs Changing Random Variable

Let $X \sim \mathcal{N}(\mu,\sigma^2)$ under the probability measure $P$ on the measurable space $(\Omega, \mathcal{F})$. We may define a Radon-Nikodym derivative $Z$, also defined on $(\Omega, ...
4
votes
2answers
164 views

Tradable information from BS Implied volatility

These are two follow up questions to: Implied volatility as price transform I understand that the BS model is used as a 'Blackbox' that takes a market price and maps it in a 1to1 fashion to a 'BS ...
1
vote
1answer
56 views

Is anybody using 13F-HR data for making strategies?

I see that a lot of quants work on high frequency strategies. Mostly used data are prices, volumes. I wonder, is anybody using data on funds positions, which they have to disclosure quarnerly under ...
0
votes
0answers
72 views

Clayton-Gumbel (BB1) and Joe-Clayton (BB7) time-varying copulas

I'm trying to estimate parameters for Mixed Dynamic Copulas (Clayton-Gumbel and Joe-Clayton) Is there any code in MATLAB? Thanks for any help.
1
vote
1answer
82 views

QuantLib: New Instrument derived from VanillaOption + PricingEngine that must work for both VanillaOption and the derived class

The derived class is a Vanilla Option on a Future and I need to specify the expiry of the underlying future which is in general different (later) than the expiry of the Vanilla Option. I have ...
1
vote
2answers
126 views

Which one is best Performance evaluation measures?

I want to compare the performance of various volatility models like GARCH, eGARCH, and gjrGARCH from actual volatility(computed using high frequency data). I found 3 common performance evaluation ...
1
vote
0answers
82 views

Good state of the art document about Algo Trading systems

I'm currently working on the requirements phase of a software project, and need get an overview of the industry regarding the tools available for Algo Trading. My first idea was to look for Gartner's ...
2
votes
0answers
73 views

Example of optimal delta hedging in G. Barles, H.M. Soner option pricing paper

There is a paper Option pricing with transaction costs and a nonlinear black-scholes equation by Guy Barles and Halil Mete Soner. And there is a section about optimal (delta) hedging, which I do not ...
1
vote
0answers
73 views

Match different option high frequency databases

I downloaded the “E-mini S&P 500 (Dollar) Options for 1/10/11” Top-of-Book (BBO) data. If you are interested you may download the data from the following link (approx. 80MB zipped and 1GB ...
1
vote
1answer
68 views

Implied volatility as price transform

Implied volatility The way I understand it, traders often think of implied volatility as a transformed price. So in a way, the Black Scholes model is considered a 'model-free' blackbox that takes a ...
1
vote
2answers
112 views

Pricing Forward Start Option with PDE

I am looking for references (books and papers) or suggestions on how to price forward starting calls using a PDE approach typically in the Heston model (In the BS world, the computation is trivial), ...
2
votes
2answers
225 views

Pricing options under a specific framework

I have a specific framework in mind and I would like to value options under this framework. I am not sure whether a closed form solution exists or Monte Carlo methods would work. The framework I have ...
4
votes
1answer
98 views

Clarify a derivation in Pat Hagan's Convexity Conundrums

I am looking for help in understanding the algebraic derivation to go in between some of the lines in Pat Hagan's famous Convexity Conundrums paper e.g. how he goes from 3.4a to 3.5a.
1
vote
0answers
40 views

Fair Price CDS Spread for a Bank

I have been using CreditGrades to calculate fair one year CDS spreads for firms. However, the authors of the model explicitly say that the model does not hold for banks or financial firms. If I need ...
0
votes
1answer
37 views

Deduce expected exposure profile from option/structure delta?

I am thinking about whether there exists a relationship between the delta of an option (or any structured derivative) and it's expected positive/negative exposure? An intuitive question would be ...
3
votes
1answer
51 views

Equivalent Definitions of Self-Financing Portfolio

Consider a multi-period model with $t=0,...,T$. Suppose there is a bond with $B_0=1$ and $B_t=(1+R)^t$ and a stock with $S_0=s_0$ and $$ S_{t+1}=S_t\,\xi_{t+1}, $$ with $\xi_t$ iid random ...

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