All Questions

1
vote
1answer
100 views

How to calculate monthly momentum strategies J6K6?

I am doing PhD on momentum investment (Jegadeesh and Titman, 1993). My supervisor has some concerns over the momentum strategy that I know. Let me explain my steps in J6K6 momentum strategy, i.e. ...
7
votes
3answers
159 views

Why is there a convexity adjustment if the payment date differs from Libor end date?

A 3 month LIBOR that fixing at $T$, paying in 3 months does not have a convexity adjustment. However, 3 month LIBOR fixing at $T$, paying in 6 months needs a convexity adjustment. How is this shown ...
1
vote
1answer
93 views

Most profitable? High % but low probability or Low % but high probability

I have identified a pattern in different assets where a quick spike/flash crash often occurs, dropping the price between -5% and -15% for a few seconds and then going back to previous average. I am ...
0
votes
0answers
31 views

What is the use of undiscounted Futures/Option Prices

Reading the great book of Gatheral on Vol Surfaces (link) I can't help but notice that throughout he uses undiscounted option prices (though he obviously never assumed rates to be zero). See e.g. ...
0
votes
2answers
50 views

Synthetic equity index futures calendar spread using options

I understand it is possible to synthetic a future using long call and short put ATM options which has the same expiry as the futures. Can we do the following to synthetic a future calendar spread? $...
1
vote
1answer
91 views

Derive a mathematical equation for Eurodollar future rate

If we suppose that r(t) follows a Vasicek model, which is: $$dr(t) = (\mu - \kappa r(t))dt + \sqrt\sigma dW(t)$$ How to derive an expression for Eurodollar future rate?
1
vote
1answer
44 views

Is there any open source library for commodities trading (pricing/risk managment)?

I think the question is no, as commodities trading requires far more exotic payoffs and hence higher variety of code. I know that there is a private company known Allegro, one of the main suppliers ...
1
vote
1answer
37 views

Levy process and random measure

I am wondering if random measures are used under a Levy process and how this connects to finance (particularly pricing). Any paper or books for suggestions is welcomed.
1
vote
3answers
53 views

What's a reasonable way to extrapolate a bond curve?

I have a corporate bond curve which stops at 15 year maturity. I want to extrapolate the curve to 25 year maturity. I'm looking for a reasonable approach, not necessarily deeply technical. Thanks ...
3
votes
0answers
52 views

Solving BSDE in R

I was wondering how to implement a BSDE approximation in R. For example, if I have the toy BSDE $$ dX_t = \mu dt + \sigma dW_t ; X_T\sim N(\mu_1,\sigma_1), $$ for fixed real numbers $\mu,\mu_1,\sigma,...
0
votes
1answer
33 views

Calculating the diviend yield for a sector?

I have the cash dividend amount for each company and its sec code, how would i go about calculating the dividend yield of the sector? What other data would I need?
0
votes
0answers
41 views

Interpreting the bid-ask spread calculated by the Corwin and Schultz (2012) method

On the homepage of Corwin (https://www3.nd.edu/~scorwin/) there is an excel spreadsheet which showcases the calculation for the bid-ask spread, which is expressed as a percentage. What is this a ...
3
votes
0answers
102 views

How to interpret CDF($d_1$)/PDF($d_1$) from BS model ?

In my research on put options, I come across the ratio: $\frac{(1-\mathcal{N}(d_1))}{\mathcal{N'}(d_1)}$ where $d_1=\frac{\log(S/X)+(r+\sigma^2/2)t}{\sigma \sqrt{t}}$ and $\mathcal{N}(.)$ is the ...
3
votes
1answer
244 views

DB quant research

I'm trying to find DB quant research papers in "Signal Processing" series - particularly interested in "Signal Processing: The options issue" (2010). Would appreciate if anyone could share it.
4
votes
3answers
171 views

arbitrage free volatility surface

Why is calendar spread arbitrage equivalent to $\partial_t \omega(k,t) \geq 0, \forall k \in \Bbb{R}$ where $\omega(k,t) = \sigma^2(k,t) t$ and $\sigma(k,t)$ represents the Black-Scholes implied ...
1
vote
0answers
14 views

Collateral Mortgage Obligation Z-Tranches

I would like to inquire about a specific type of Z-Tranches used in CMOs As part of the different collateral mortgage obligation (CMO) structures, we see a specific type of tranches named "Z-Tranche"....
0
votes
1answer
32 views

“J” message type in Nasdaq ITCH Totalview sample file

I am trying to parse the uncompressed file 10302018.NASDAQ_ITCH50 (from ftp://emi.nasdaq.com/ITCH/10302018.NASDAQ_ITCH50.gz). There is a strange message type "J". The spec (https://www.nasdaqtrader....
2
votes
0answers
34 views

Prove unique arbitrage-free price implies attainable

I just read a Corollary in a finance course note: Suppose the market is arbitrage free and $C$ is a contingent claim. Then $C$ is attainable if and only if it admits a unique arbitrage-free price. ...
1
vote
1answer
47 views

Arbitrage on Libor and swap market

I must be wrong here, but still want to know where I am wrong. I found the data of Libor rate and swap rate from this link: http://www.interestrateswapstoday.com/libor-rates.html At the time, I read ...
-2
votes
1answer
100 views

Insoluble Enigma [closed]

I used many statistical tools, i.e. t-SNE, SVM, Neural Network, UMAP, PCA, with the reformatted full market depth data with timestamp each second. UMAP gave me the best data representation, but ...
0
votes
1answer
50 views

CIR calibration

I'm using a CIR short rate model to forecast interest rate paths. I've been thinking and also searching online about different ways of estimating its parameters (a, b and sigma). While there are a ...
4
votes
1answer
95 views

Heston model computations

In the Heston model the dynamics of a single-asset $S$ are given by: $dS_t = rS_tdt+S_t \sqrt{V_t}dW^S$ where $W^s$ is a brownian-motion $W^S$ and the square root variance process $V$ is given by ...
0
votes
1answer
56 views

Bond Overall Return vs Yield to Maturity

I've been working on what I had hoped to be a simple model demonstrating that a bond "returns" its yield-to-maturity over its life. However, whatever data I use, I end up with a return that is a ...
5
votes
0answers
61 views

Merton's portfolio problem with constraints

Suppose the investor can invest in a Black-Scholes market with one risky asset $S$ with drift $\alpha$ and volatility $\sigma$ and a riskless asset $B$ with a riskless rate of return $r$, and the ...
3
votes
1answer
83 views

Basic questions on options, implied volatility and SPY

I am a bit confused about the impact of implied volatility on options, SPY options especially. I know that option's price decays with time and that is positively correlated with implied volatility but ...
1
vote
2answers
91 views

Why rise in repo rates leads to increase in forward bond prices?

Why repo rates increase is causing forward price of bond to increase. Confused with two arguments below Explanation 1 (Collaterizied loan) If repo rates are higher then it means that its very high ...
1
vote
0answers
62 views

Question about Stochastic Calculus,(change of measure)?

Can any one give some hint for this question? Let $\{S_t\}_{t=0}^\infty$ be an asset price process defined on the probability space $(\Omega,\mathcal{F},\mathbb{P})$. Assume that the log-return of $...
1
vote
0answers
11 views

Asian basket option variance reduction control variates monte carlo

I have priced an Asian put option with three underlying correlated stocks. Now I want to try to reduce the variance using control variates. I have found great ideas when there is one underlying (thus ...
0
votes
1answer
60 views

Bayesian trade probability with factors

I have a strategy Y which is influenced by some factors X1, ..., Xn (for example asset volatility, distribution of macroeconomic factors). At moment t0 I have historical distribution(prior) of X1, ...,...
-2
votes
1answer
77 views

The same expectation means martingale?

If a stochastic process has the same expectation value for all pisitive t, then is it a martingale? I don’t know how to show it whether that is right.
1
vote
0answers
28 views

How does LR binomial Tree Model handle input values which would cause NA result?

I am using C++ to implement a LR binomial Tree algorithm to price American options, but I find it would constantly generate invalid output, which is "nan" value in C++, although the input value seems ...
2
votes
1answer
47 views

Characteristic function and distribution of a random variable

This is exercise 4.3 in Bjork, Arbitrage Theory in Continous Time. $$ X_t = \int^t_0 \sigma(s)dW_s $$ $\sigma$ is a deterministic function and $W_t$ is brownian motion. I am asked to find the ...
1
vote
0answers
21 views

The deflator of reinsurance market is unique

How to prove that the deflator $\phi$ of the reinsurance market is unique when working in the equilibrium model? That is, if we have a pricing function $\pi$, which satisfies: $$\pi(Y)=E(\phi Y)$$ ...
0
votes
1answer
55 views

Convexity adjustment--Assume sport and futures rates move together?

A cash flow argument I typically see for why a convexity adjustment is necessary is the following (taken loosely from Hull 9/e, p. 143): Say I am short an interest rate futures contract (e.g. ...
0
votes
1answer
67 views

Portfolio Weight Sum and Negative Weights

I'm calculating the weights of 10 securities in a portfolio for a course project, with the objective of maximizing the sharpe ratio. I'm getting both positive and negative results for weights. The ...
4
votes
1answer
165 views

For the Brownian motion integrate

I want to calculate $$\operatorname{E} \left[ \int_0^1{W(t)dt \cdot \int_0^1{t^2W(t)dt}} \right].$$ I discovered that the first integral is $\operatorname{N}(0, \frac{1}{3})$ but I don't know how to ...
3
votes
0answers
70 views

What is the logic of the eigenvectors of the Johanson cointegration test determining hedge ratios?

Reading Algorithmic Trading: Winning Strategies and Their Rationale, Ernie Chan and there is a short section about the Johanson test for cointegration where it is mentioned that the eigenvectors ...
1
vote
1answer
48 views

Delta hedging with futures

If I trade a futures roll on S&P on two futures contract, say 100 contracts of dec vs mar roll. Do I have any residual delta to hedge? I see small residual $ delta, should I hedge this?
1
vote
1answer
30 views

What is the influence of inflation on the Wacc?

I understand that the WACC is influenced by the debt ratio but what is the impact of the inflation on the WACC
-1
votes
1answer
32 views

Differences Between Portfolio Daily Average Returns

I have a doubt about the average daily return for a 2 stock porfolio. I have the data of both stock returns over a 1511 day period. I used 2 approachs to calculate the average return. In the first one,...
0
votes
1answer
59 views

implementing Volatility Managed Portfolios

How to I calculate the value of c in the vol-managed equation specified by Moreira & Muir Volatilty Managed Portfolios (2016) Equation 1? Portfolio return in month t+1 =$$\frac{c}{RV_t^2}f_{t+1}$$...
1
vote
0answers
29 views

Does the Asian Option (average Option) depend on the forward implied vol

I can easily understand that the forward starting Option and Barrier Option depend on the forward implied vol smile at resetting date, so we always choose the stochastic vol model for underlying to ...
1
vote
0answers
17 views

Quantitative impact of Dodd-Frank Act on risk management

The US Dodd-Frank Act (DFA) introduced mandatory central clearing of standard (e.g. plain vanilla) swaps for big financial institutions in the US in 2013. It might be a broad question but: what have ...
0
votes
1answer
21 views

Auto-covariance function of station time series

How to show that for any stationary time series its auto-covariance function is symmetric about the origin, that is $\gamma_{k}=\gamma_{-k}$ where, $\gamma_k=cov(z_t,z_{t-k})$
1
vote
2answers
96 views

Paper recommendation with examples

Could you please advise me some papers/working documents with applications mainly focused on Fixed Income/Financial Engineering (Numerical Methods) as the one in the link below? Preferably on Matlab, ...
0
votes
1answer
68 views

Libor Market Model Implementation

I'm trying to implement an LMM-MultiCurve for caplet pricing following the analytical formula mentioned in this article (pg 20): https://www.researchgate.net/publication/...
1
vote
2answers
72 views

Datasource of all scheduled news events for S&P 500 stocks

I am looking for a datasource which contains all news events specific to equities of the S&P 500, whose release date was scheduled in advance. That is, I am not looking for surprise news. For ...
1
vote
0answers
28 views

Mean-cVaR model: How can one include transaction cost

$$ \min \delta CVaR - (1-\delta) \sum_i^{n} \mu_i x_i \\ \sum x_i = \sum x^{old}_i \\ Losses(s) = \sum x_i - \sum_i^{n} (R(s,i))x_i \\ VaRDev(s) = Losses(s) - VaR \\ CVaR = VaR + \frac{\sum_s^{} ...
0
votes
1answer
56 views

Why do most interest rate formulas, and indeed finance in general, add 1 to a rate and then subtract afterwards? [closed]

For example, in the formula that shows the relationship between the nominal and effective interest rate shown below, 1 is first added to in/m and then 1 is subtracted from the result. What is the ...
3
votes
3answers
138 views

What's the logic behind 3-10 UST yield inversion predicting recession?

Is there causality, behavioral or logical explanation behind this indicator or is it just purely an observation based on correlation? My guess is that there are existing derivatives with clauses that ...

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