0
votes
0answers
5 views

Stochastic control (HJB) for wealth process involving stopping times

Given a wealth process that evolves as $$d w_t = r w_t dt + \theta_t ( \sigma dW_t + (\mu-r) dt) - c_t dt.$$ where $\theta_t$ is the worth of holding at time $t$ and $c_t$ is the consumption stream. ...
0
votes
0answers
3 views

Does a call calendar lose its entire value if underlying increases well past the strike?

If I buy a call calendar spread, and the underlying increases, both options are in the money by the expiry of the short call. So both options increase in value, but the short one increases less ...
0
votes
0answers
9 views

Convert a call spread to a butterfly to mitigate risk

I do not have a source for this (apologies), but sometimes, I hear about option traders initiating a vertical spread(short) and then converting that call spread to a butterfly spread to mitigate risk. ...
0
votes
0answers
19 views

Applying Girsanov Theorem

I have some parts of the proof, but I am not sure if they are arranged correctly or are sufficient. Is this right? Proposition: Given probability space equipped with natural filtration of standard ...
0
votes
0answers
24 views

Has automated trading produced profits at IEX?

Is there evidence that automated trading is profitable on the latency-enforced portion of the exchange? On the one hand, if automated trading was profitable when these limits existed naturally, it ...
0
votes
0answers
18 views

Correction factors for volatilities of smoothed returns

In An Introduction to High Frequency Finance (http://www.amazon.ca/Introduction-High-Frequency-Finance-Ramazan-Gen%C3%A7ay/dp/0122796713), the authors (on page 253) build a tick-frequency volatility ...
0
votes
0answers
28 views

Why volatility trading is touted as an institutional trade and not a retail trade

What is the reason that volatility trading is mostly touted as an institutional trade? And something unsuitable for retail traders? Do you need to have substantial capital, risk free rate of ...
0
votes
0answers
5 views

Will a back month leg in call calendar lose value if underlying goes down

If I buy a call calendar and underlying drops 5%, the front month short call will get further out of money and will lose value, resulting in a gain since I am short the front month option. What about ...
0
votes
1answer
33 views

Why vega increases further out in time

Why do back months options have a higher vega than front month options? If possible , kindly explain on an intuitive level without a lot of math.
0
votes
0answers
26 views

Exercise 2.2 from the book “The concept and practice of Mathematical Finance”

I am a newbie. Please help me understand how to resolve the exercise 2.2 from the book "The concept and practice of Mathematical Finance". The solution from the book says that our super-replicating ...
0
votes
1answer
15 views

Spread over LIBOR on a Equity Swap

Does anyone how banks determine the spread over LIBOR on a Equity Swap? Example: Party A pays the return on SPTR to Party B Party B pays 1M LIBOR + 40 bps to Party A Does anyone know how the 40 ...
0
votes
0answers
66 views

The future language of quant programming?

Im just about to begin the programming aspect of my education towards being a Quant. I know what languages are currently being used and how popular they are. However, I have several good friends ...
1
vote
1answer
18 views

How to manage risk on a call calendar when underlying is falling

Let us say I bough a call calendar spread. Now, at expiry of the short option, the underlying has decreased significantly, and I am approaching my max loss(i.e both the options are close to 0). In ...
0
votes
0answers
18 views

Why theta multipled by days to expiry exceeds the total time premium of the option

Sometimes, I find an option where the total time value of the option may be 5 cents(rest is intrinsic value) and there are about 15 days to expiry and theta is .08 (8 cents). How is this possible. If ...
-1
votes
0answers
12 views

What is the purpose of doing MTM and Cross Currency Swaps?

Both the trades are cross currency, however in MTM one leg is constant and other is variable. But what might the reason for exchanging cash flows into two different currencies? Could someone please ...
1
vote
0answers
8 views

Using Forward Equity Returns to Value Stream of Equity Return Cash Flows

Can I value the equity leg of an equity swap using the projected forward equity returns? In other words, for a sequence of times $t_{0}<t_{1}<\ldots<t_{n}$, where $t_{0}$ begins a brand new ...
0
votes
0answers
14 views

Why does the OTM call sometimes have a higher theta than the ATM call?

In this AAPL option chain on Mar20 call options, the OTM calls have a slightly higher theta than the ATM calls. Why is this? Is not time value(and thereby time decay) supposed to be highest for ...
0
votes
1answer
33 views

Cointegration example

Does anyone know where to find an example of implementing Engle-Granger 2-step cointegration? Python's ideal, but any language will do. I've skimmed and read many articles, but understand little about ...
1
vote
3answers
51 views

Technical Indicators reference

I have been looking for a good reference where I can find how technical indicators of stock market analysis are calculated. I have a dataset (time series) which I want to extract these indicators to ...
2
votes
0answers
47 views

Is it too important that my residuals be normal? I am Using an ARMA/GARCH model

I am trying to fit an ARMA/GARCH model to a time series. I found that the best candidate is an ARMA(1,0) + GARCH(1,1) with gaussian white noise It has coefficients with p-values near cero and the ...
2
votes
1answer
38 views

Question about historical volatility ranking

I have seen this strategy example, which uses garch in a regime switching context: https://systematicinvestor.wordpress.com/2012/01/06/trading-using-garch-volatility-forecast/ The author classifies ...
3
votes
2answers
183 views

Does higher vega imply higher IV and vice versa

If an option A has higher vega than option B, does that also mean that A has a higher IV than B? I understand that by definition, a higher vega means that A's price is more sensitive to its IV than B. ...
2
votes
1answer
42 views

If an option went down in value, how much is due to theta decay and how much due to fall in IV

Let us say that there was a stock trading at 100 and the 105 call was trading at 3 $. with 1 month to go Now stock went up to 104 after 15 days, and the call dropped to 2.80 $, to the call buyer's ...
0
votes
0answers
12 views

Amortizing Bond QuantLibXL

I would ask if anybody knows how to do get the NPV of an amortizing bond with QuantLibXL in the most automated way. I found some solutions but are very close to a manual calc, say, pass the vector of ...
3
votes
2answers
193 views

What is the yield on an infinitely lived ZCB?

I guess the price of a Zero-Coupon Bond with infinite maturity should go to zero, what about its yield? I am asking this because I was dealing with the yield curve and its asymptotic properties when ...
3
votes
2answers
120 views

correlation for portfolio of stocks

I have a portfolio of stocks and all I want to do is to make sure that I'm not trading one big position, so I would like to monitor some type of metric that gives me a rough idea of what the overall ...
0
votes
1answer
30 views

Forward Curves and Par Yield Curves

I'm recently reading a research paper on the yield curve by Salomon brothers and in it it states that when the forward curve is above the par yield curve, it is seen as cheaper. If for example, the ...
1
vote
1answer
29 views

Desperate for help with simple derivative

Can someone help explain how differentiating the following with respect to $x$: $$ \frac{1}{2} \alpha \mathbf{x}^T \Sigma \mathbf{x} + (\mathbf{\mu} - R\mathbf{1})\mathbf{x} $$ Yields the following: ...
1
vote
0answers
20 views

Please recommend a book regarding Monte Carlo simulation in OAS

I couldn't find a book that explains in details how to use Monte Carlo Simulation to generate a number of interest rate scenarios. And then based on the interest rate scenarios, how to calculate the ...
0
votes
1answer
25 views

Pricing of a call option in one period binomial model

You are given a $5\%$ call option worth $\$2.66$. The strike price $k$ is $\$41.00$. $S(0)=40$, $Sd=35$ (i.e the lower price of the stock at $t=1$) find $Su$ (i.e the high price of the stock at ...
1
vote
1answer
22 views

What is the strike of a short put that mimics a covered call

If I am long a stock $X$ which I purchased at $\$100$ and sold a covered call in the front month with strike $\$105$ for $\$2$ then is it true that the covered call is equivalent to a naked put at ...
1
vote
1answer
34 views

Stock Returns Distribution in Heston Model

There is a paper by Dragulescu and Yakovenko (DY) in 2002 proposing a pdf for the stock returns in the Heston model. However, in a paper by Daniel, Bree and Joseph, they actually perform statistical ...
1
vote
1answer
14 views

Are CME security id's unique and constant over time?

For any given day, CME security IDs are unique - a number will always refer to a single product. Are they unique over time as well? That is, might a new security have a security id that used to be ...
0
votes
0answers
10 views

Will implied volatilities rise by same amount across time and across strikes in lieu of an earnings report or a news event

It is said that implied volatility of an option rises leading up to an earnings report or a pending news event like FDA trial, a possible takeover,elections(?) etc. My question is, implied volatility ...
-1
votes
1answer
35 views

Which free C++ compiler is best for preparing for the quant workplace? [on hold]

I want to improve my C++ skills at home in order to prepare for the quant workplace (probably bank derivatives operation or model validation). Is Visual Studio the most predominant in this area? ...
1
vote
1answer
23 views

Does an Interest Rate Swap has a Vega component?

I am a bit confused on how you calculate vega for Interest Rate Swap. One argument is that IR Swap is a combination of fixed rate bond and floating rate bond. Since a bond has no vega component, IR ...
0
votes
1answer
20 views

How do I get access to multiple clothing stores data feed or API's? [on hold]

I am creating an app that will rely on gaining access to several clothing companies data feeds or api's and am wondering what the best way for me to do this is? Do I pay for someone to do this for me? ...
4
votes
1answer
71 views

How to approximate the time to mean reversion for implied volatility

Given an option and its implied volatility, and also the mean value of the implied volatility over the last 30 days, if we find that the current IV is significantly (> 1 std dev.) away from the mean, ...
2
votes
2answers
39 views

How to simulate a CIR process using GPU and Matlab

I am trying to simulate a CIR process using Matlab and my GPU for effeciency. At the moment i run into some implementation problems due to the recursive nature of the discretization. The sheme I ...
1
vote
0answers
19 views

OIS & LIBOR swap

Why do people use OIS and LIBOR swap spread to compare/value bonds/derivatives? Why not just use US treasury?
4
votes
0answers
85 views
+100

Correctly applying GARCH in Python

Problem: Correct usage of GARCH(1,1) Aim of research: Forecasting volatility/variance. Tools used: Python Instrument: SPX (specifically adjusted close prices) Reference material: On Estimation of ...
1
vote
1answer
19 views

Proving there exists no arbitrage opportunities given 3 states and 2 assets

Assume there are 3 states of the world: w1, w2, and w3. Assume there are two assets: a risk-free asset returning Rf in each state, and a risky asset with Return R1 in state w1, R2 in state w2, and R3 ...
1
vote
2answers
50 views

Why a calendar spread is a preferred strategy in a low volatility period

What is it about a calendar spreadas opposed to other spreads(e.g vertical spread) that makes it such a popular strategy for a period of low implied volatility? Is it that when low volatility turns ...
0
votes
0answers
15 views

Reducing multicollinearity in Arbitrage Pricing model

I am working on a test example where the idea is to come up with a model that predicts S&P500 returns using the 9 S&P subsectors(XLY,XLP,XLF,etc) as FACTORS.Now i know there exists ...
2
votes
1answer
40 views

Markowitz Mean-Variance Implied Returns

What is the closed form solution for the following inverse Markowitz problem? Given a mean-variance optimized fully invested portfolio $X$, a risk aversion parameter $\lambda$ and a var-covar ...
1
vote
1answer
38 views

Why implied volatility is less for the back month option even though the back month option is more expensive

Why is the implied volatility of this option at the ATM strike (18$) greater in the front month (March) than in a further month (Oct). The Oct month has 43%, but the front month has 54%. Should not ...
2
votes
2answers
54 views

hedging correlated instruments

If two instruments have a significant negative correlation but the percent change in the price of the instrument moving in positive direction is always more by a fraction than the one moving in ...
1
vote
0answers
34 views

Reputational Harm

How would you measure the reputational harm incurred on an individual by an organization. How is Market Pricing in the expected payout resulting from the law suit by an individual ? The news breaks ...
1
vote
1answer
30 views

Delta-Gamma Neutral portfolio, derivation issue

Let $C$ be an option on an underlying $S$. I want to construct a portfolio $V$ using another asset $C_0$ such that the delta and the gamma of $V$ is the same as the delta/gamma of $C$, in order to ...
1
vote
0answers
18 views

forward curve and cap/floors in nowadays environment

I'm currently trying to get the implied volatility of a vanilla Euro floor with maturity 1Y with data from bloom. I have the price ( which is not supposed to take into account the first floorlet ...

15 30 50 per page