All Questions

1
vote
0answers
36 views

Is there a way to pull SPX index option open interest daily data?

Currently I just use Bloomberg API in Excel for preliminary data analysis and manipulation, and I have one function call that gives me the ticker and IV today ...
2
votes
0answers
44 views

Calculate the True daily Time Weighted Return

I have an access database with records of securities in my portfolio as well as my trades for each security. My aim is to calculate the "Daily Time Weighted Return" then down the line, export it and ...
1
vote
1answer
38 views

Why currencies and futures contracts can be considered as assets with known yields?

I understand why stock index can be considered as assets with known yields due to the dividends. But why currencies and futures contracts can also be considered as assets with known yields? In the ...
3
votes
1answer
89 views

Binomial Trees vs FDM

Binomial trees as the number of time steps is increased (or equivalently as the time step tends to 0), converge to the exact value for an option. So why do people use FDM for pricing options (for ...
2
votes
1answer
116 views

The VaR of a portfolio with Student t returns

A portfolio consists of 300 stocks,150 of A and 150 of B, their annualized covariance matrix is as following: $\begin{pmatrix} 0.09 & 0.018\\ 0.018 & 0.04 \end{pmatrix}$ Thoese two stocks ...
3
votes
2answers
73 views

Finding Lead-Lag Relationship [duplicate]

Given two series of data, volatility and returns, is there a way (Excel) of finding which one is the leading factor and lagging factor? Thank you for your help.
4
votes
0answers
75 views

SABR Question: Why does the market take the beta parameter as a constant?

SABR Question Why does the market take the $\beta$ parameter as a "constant"? I see most brokers quoting SABR parameters nowadays. I've seen many banks use $\beta$=0.5 as a rule. I've seen quants ...
2
votes
0answers
107 views

Hidden Markov Models for Higher frequency trading

I'm curious if anyone can validate my train of thought here with the utility of Hidden Markov models for modeling things happening on higher frequency trading activity versus lower frequency, and in ...
2
votes
1answer
56 views

Where can I get some Inflation Option example quotes (year-on-year and zero-coupon)

I am writing an academic paper on calibration of inflation vanilla options. I need to generate examples for the paper. Is there anywhere I can get example data for the Inflation year-on-year options, ...
2
votes
0answers
64 views

Asset pricing and dividend discount model

I want to derive the dividend discount model from the asset pricing formula described in "Efficient Capital Markets: A Review of Theory and Empirical Work" by Eugene Fama 1970. The formula that I am ...
0
votes
1answer
37 views

Effective Annual Interest Rate (EAIR) in a 12-month loan [closed]

A \$980 loan is paid over 12 months in 12 equal payments of $90 each. What is the loan's EAIR? 980/12=81.666…. (monthly principal payment) 90-81.6666….=8.3333….. (monthly interest payment) ...
0
votes
2answers
130 views

What is the second derivative with respect to price of a put option? [closed]

What is the reasoning/meaning behind the second derivative of a put option
1
vote
0answers
39 views

What is the true “value” process of American derivatives?

Consider a continuous-time market where LOOP (law of one price) holds. The first fundamental theorem of asset pricing states explicitly that in the absence of arbitrage, the risk-neutral measure ...
2
votes
1answer
139 views

Risk neutral modelling of a stock

Suppose a stock $S$ follows $$dS(t) = \alpha(t)S(t)dt + \sigma(t)S(t)dW(t),$$ where $W(t)$ is a Brownian motion under $P$. Also suppose there is a short rate process $r(t)$. My question would be is ...
4
votes
2answers
205 views

Sticky Strike or Sticky Delta

Given market tick data for a single tenor for a futures and a set of options on the futures, how can I say if the IVs in the market at this point is sticky strike or sticky delta? I was trying to ...
3
votes
2answers
144 views

Fitting Function for Skew

I am faced with having to fit skew/smile to option quotes with different strike and same maturity. In order to keep things reasonably simple and to avoid potential artifacts from fitting higher order ...
1
vote
1answer
44 views

Why can only non-dividend paying assets serve as numeraire?

In Kerry Back, A Course in Derivative Securities, Sect. 1.4 (page 29), the author stated the FTAP in the following form (in boldface): If there are no arbitrage opportunities, then for each (non-...
3
votes
3answers
149 views

Are there recommended books/readings for advanced option pricing

I am learning option pricing and derivative markets this year in class. I have had some background on stochastic calculus so it was relatively manageable for me to write vanilla and American option ...
2
votes
1answer
56 views

portfolio information ratio calculation on daily returns including hedged strategy results interpretation

I am tasked with calculating the portfolio information ratio on ~15 years of daily portfolio returns and I am finding several approaches online which is quite confusing. The first approach simply ...
1
vote
1answer
57 views

Can the value of a swaption at any time become more negative than the swaption premium?

I am interpolating swaption values as a function of parallel shifts in interest rate and have come across some peculiar shaped options among the data I have at hand. Here is an example of a simple ...
2
votes
1answer
70 views

How to get the probability of exercise call option in Black-Scholes model?

From Black-Scholes model, I'm trying to prove: $p(S_t>K) = N(d_2)$ No luck yet! Can anyone suggest a reference showing that how to obtain this equation? All I get is: $S_t = S_0e^{ (\mu-0.5 \...
2
votes
0answers
24 views

American-Bermudan-Asian option fixed strike using finite differences

I'm trying to price the same American-Bermudan-Asian option described in Longstaff Schwartz (2001). Specifically, using finite difference methods with an explicit scheme to solve $\begin{aligned} \...
3
votes
1answer
83 views

Bayes Theorem with change of measure

Tomas bjork- arbitrage theory in continuous time. Appendix B, proposition B41 says: The proof is not clear to me. Thanks to Gordon's comment below of $E^Q (X/G)$ being $G$ measurable, I think the ...
1
vote
1answer
55 views

How to calculate the price of an asset using Black-Scholes equation?

I'm trying to solve this problem given: The dividend yield for asset 1 (asset 2) is 0.05 (0.03), and it is also given the time zero stock prices, and both assets' Black-Scholes equation. I ...
2
votes
1answer
126 views

How to compute the dynamic of stock using Geometric Brownian Motion?

I have been given the following question: Given that $S_t$ follows Geometric Brownian Motion, write down the dynamic of $S_t$ and then compute the dynamic of $f(t,S_t) = e^{tS^{2}}$ For the first ...
1
vote
2answers
42 views

Monte Carlo VaR w/ Multivariate Normal vs. Parametric

In Aladdin's Monte Carlo VaR, the default setting for the joint distribution of factor returns is multivariate normal. Given that normal distributions do not capture the fat tails seen in empirical ...
1
vote
2answers
39 views

Threshold to consider the daily change of a bond price unusual?

In the context of compliance and market abuse monitoring, what relative change threshold would you choose to decide if transactions should be looked into? For example, if a bond price had a relative ...
2
votes
0answers
23 views

Example of Coherent Risk measure with Compact Representation

Every coherent risk measure $\rho$ can be represented as $$ \rho(X)\triangleq \sup_{Q \in \mathcal{Q}} \mathbb{E}\left[ -X \right], $$ for a set of probability measures $\mathcal{Q}$ defined on the ...
2
votes
3answers
304 views

Efficient frontier doesn't look good

Hi I'm trying to draw an efficient frontier. Below is what I used. returns parameter consists of 9 column returns of portfolio. I selected 10,000 portfolios and this is how my efficient frontier ...
2
votes
0answers
62 views

Longstaff-Schwartz, special american option simulation using Python (numpy package)

I got a put option, which can be exercised 3 times, all at different times, which are each month of a year $$t_1 = \frac{1}{12}, t_2 = \frac{2}{12} ... t_{12} = 1$$. Respectively, if exercised at $$...
0
votes
1answer
46 views

continuous stock price

I wonder what would happen if the stock price becomes continuous? I am thinking that if that happens, everyone just places a limit bid order just above the original best bid order or limit sell order ...
1
vote
2answers
59 views

What exactly is a contract's “trading class”?

Web searches for this are drowned in pages offering trading courses, and the InteractiveBrokers API doesn't expand at all on the term. So what are contract trading classes, and what are some examples,...
2
votes
2answers
148 views

Optimizing Investment Portfolio

I might be interested in optimizing an stock investment portfolio. With or without using programming, is there an article I should refer to optimize my portfolio and help me taking good investment ...
2
votes
1answer
84 views

Dynamical Behavior of Hurst Exponent

I feel that the dynamic of financial market is not really modeled by standard Brownian motion, but fractional Brownian motion or even multifractional Brownian motion. I have read some references on ...
1
vote
0answers
24 views

Fractional cointegration in R

I'm looking for a package (or some code that anyone has written) that will help me to estimate a VECM for fractionally cointegrated series. I.e. like the ca.jo ...
2
votes
0answers
28 views

A Soft Problem: Application of Stochastic Differential Equations in Hilbert Space Beyond HJM Interest Rate Model

I am reading books on stochastic differential equations (SDE) in Hilbert spaces. It seems that every book just discusses HJM interest rate model as an application when discussing financial ...
2
votes
1answer
61 views

Valuing an interest rate swap using a par swaps curve?

I've worked through this problem already and was hoping for some feedback on my approach. The problem description is: You have a notional amount of 100 million paying fixed coupons of 8% annually for ...
1
vote
1answer
45 views

Are Indices Regulated

Suppose that a bank (or any regulated body) wants to sell and ETF, replicating some index. Does that replicator have to adhere to the Basel accords? Similarly, if a bank (or any regulated body) ...
1
vote
0answers
37 views

How to find the tangency portfolio using quadprog in R with different risk free rates

I am trying to find the optimal tangency portfolio for the efficient frontier (calculated using qp.solver in quadprog) but subject to different risk-free rates. Demos for quadprog in R show that to ...
1
vote
1answer
131 views

Face Value of SOFR futures

What is the face value of CME 1M and 3M SOFR future contracts? The face value of CME 3M Eurodollar Futures is 1 million.
3
votes
1answer
61 views

forward + displacement

I I am trying to price a cap/floor using Quantlib in Python. the initial code from from this website: http://gouthamanbalaraman.com/blog/interest-rate-cap-floor-valuation-quantlib-python.html Here is ...
0
votes
2answers
86 views

Is American option price lower than European option price?

I used to think under the same condition, the American option is always more expensive than the European option, because American option can be exercised at any time (has more rights than European ...
3
votes
0answers
34 views

Bounded solution for a SDE

I have this SDE $$ dX(t) = [X(t)(u(t)(\delta-r)+r-\beta(t))+\theta(t)(1-\alpha(t))]dt+X(t)u(t)\sigma dW(t), t \in [0,T] \\ X(0) = X_0(1-\alpha(0)) $$ I've checked some books and I find the solution ...
2
votes
2answers
70 views

Group name for currencies, equities and other financial products

I am working on a financial software system that deals with crypto currencies. This system has a model called 'Currency' that describes for example 'BTC' and market for which there is a 'base' and '...
7
votes
1answer
138 views

Defining an objective function for machine learning task of trading

A simplified example. Given: asset's price time series fixed distances to stop and target. A function of these inputs has two possible output values: $1$ if price is likely to hit the target ...
1
vote
0answers
45 views

Preferred Stock pricing model

I am trying to build a model to price a preferred stock. I want to model the dividends as random payments. I can't find any papers online on the subject. Does anyone have a reference for me?
3
votes
1answer
59 views
2
votes
1answer
56 views

What is the reasoning behind 'terminal time' in market making literature?

Market making literature and models often include a factor for 'terminal time' (1), (2) within which the market maker's inventory is liquidated. What is the reasoning behind this idea? Is it simply ...
3
votes
2answers
52 views

Cash vs Deposit Rates

When constructing a yield curve for derivatives purposes, what is the difference between cash and deposits rates?
2
votes
4answers
151 views

Basic book on stochastic calculus, Itô and jump processes and Brownian Motion

I was looking for a good book that explains at beginner-level the basic of stochastic calculus, probability and random variables, Itô and jump processes as well as Brownian Motion. At university we ...

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