All Questions

2
votes
0answers
76 views

How to interpret DV01 in terms of PCA equivalent?

I have computed the PCs for daily changes in the UST yield curve over the last 5 years using the covariance matrix and can explain 94% of the variance using the first two components, which is good ...
1
vote
0answers
33 views

Some definitions in the BARRA Predicted Beta model

I'm studying the BARRA Predicted Beta model, and the common factor covariance between portfolio $p$ and the return on the market $m$ is defined as the product of the transposed vector of the factor ...
1
vote
0answers
92 views

What is the best source to get 10 milliseconds time-series data for numerical computation?

I am working with 4th order Runge-Kutta method to compute a second order differential equation. For the best accuracy, I need a 10 milliseconds ohlcv time-series data. I know that I can build it ...
1
vote
0answers
57 views

Derivative of the stock price and volume at time t

According to Forecasting of Jump Arrivals in Stock Prices: New Attention-based Network Architecture using Limit Order Book Data at page 9, I would be interested in deriving the the price (ask and bid ...
3
votes
1answer
176 views

Implementing leveraged Risk Parity Portfolio using Direxion 3X ETF

The "common man" version of a leveraged Risk Parity portolio (40% stocks and 60% long term bond, Quarterly Rebalanced) can now be easily implemented using the 3X leveraged ETF's (UPRO=stocks, TMF=...
-1
votes
0answers
43 views

Optimal price to trade the stock following markov chain [closed]

The stock price starts at 100\$. At any given time, there is 50% probability that stock price increases further by 1\$ and 50% probability that stock price goes back to 100$. You are paying 1\$ to ...
2
votes
1answer
54 views

Measuring bond fair value (richness/cheapness) using basic regression models?

Background Due to the nature of the curve (bond curve, swap curve etc), bond traders typically have some model that allows them to measure the "fair value" (FV) of a bond vs other bonds on the curve. ...
0
votes
0answers
28 views

Inflation of Bitcoins

https://www.google.com/amp/s/www.coindesk.com/bitcoins-next-halving-rally-coming-soon-in-2019%3famp suggests that the inflation rate of Bitcoins is around 4 percent. Considering the fact that ...
3
votes
0answers
46 views

Does WACC not depend on the cost of debt?

According to chapter 17 of Ross's Corporate Finance (Brazilian translation of 2nd edition), $$ r_{WACC} = \frac{S}{S+B}r_S + \frac{B}{S+B}r_B(1 - T) $$ and $$ r_S = r_0 + \frac{B}{S}(1 - T)(r_0 - ...
15
votes
0answers
214 views
+50

What is the trickiest thing to get right in Rates Quant recently (2019)?

What are the biggest challenges for Rates Quants in 2019? Most quants have been through a lot over the past years-shifting their SABR models in JPY swaptions, fixing the FVA models for negative rates, ...
0
votes
0answers
36 views

Markowitz models with uncertain returns

I am analyzing the Markowitz models with uncertain returns as follows: after calculating the expected returns and the covariances of 30 monthly historical series of 30 stocks, I resolve the Markowitz ...
0
votes
0answers
27 views

Convert Continous Signal to Discrete

Suppose I have a continuous signal for a futures in HFT context. The signal is noisy and continuous. I have tried using moving averages of the signal to make sense of it and to be able to use it, but ...
6
votes
1answer
88 views

Principal Components Analysis on overlapping contracts

I am conducting several PCAs on the gas forward curves (months, quarters, seasons, calendars) for hedging purposes which give me some rather reasonable and stable results. However, these contracts ...
3
votes
0answers
43 views

Martingale positive price process

I hope you can help me with this problem. In my lecture notes, my professor stated that for a state price deflator $\phi\in L_{n+1}^2(P, F)$ (F being a filtration) and a strictly positive price ...
1
vote
0answers
38 views

Does it make sense to subtract VaR from spot shocks?

I have a model to compute the Event Risk (in dollars) from a shock to the spot price of an asset. I also have the 10-day VaR PnL for the same assets returns. These two numbers are then aggregated to ...
0
votes
0answers
20 views

What is the optimal of inventory optimization [closed]

What is the optimal of inventory optimization (one inventory in serial system) when considering fixed ordering cost, and (holding/units)cost and (shortage/units)cost
-4
votes
0answers
20 views

Future options and the dynamics [closed]

Elaborate to me in depth how future options work and how to price them? How can I get to profit from? or use them for hedging purposes?
0
votes
0answers
70 views

Curve Building + Swap Pricing [duplicate]

Assume Swap means a USD Swap with standard conventions (semi-annual fixed payments and quarterly floating payments, etc).
9
votes
1answer
272 views
+200

Variance swap volatility - ATMF vol, Skew and Curvature

In a pure diffusion setting, it is a well known result that the volatility $\sigma_T$ of a fresh-start variance swap of maturity $T$ as seen of $t=0$ verifies \begin{align} \sigma_T^2 &= \Bbb{E}_0^...
1
vote
0answers
36 views

What should the half-life be in EWMA when calculating VaR from EWMA?

If we want to calculate an $x$-day VaR ($x$ is some time period in days) from an Exponentially Weighted Moving Average (EWMA) of vector of returns, what should the half-life in the decay factor in ...
0
votes
0answers
26 views
1
vote
0answers
30 views

What are the different indicators to measure historical volatility for stocks on individual basis?

Google search shows there are three indicators to measure volatility: 1. Average True Range 2. Standard Deviation / Variance 3. Bollinger Bands. What are the indicator(s) that you use to identify ...
3
votes
1answer
98 views

Do *all* non-dividend paying assets have the risk-free instantaneous return rate under the risk-neutral measure?

For simplicity let's consider a 1D BS world. The only source of randomness comes from the Brownian motion dynamics $dB_t$. The risk-free rate is $r$ (one may assume it as constant for the time being). ...
-1
votes
0answers
14 views

Lo Mackinlay variance ratio test derivation ( how to derive the equation for VR(3) [closed]

Lo Mackinlay variance ratio test derivation, how to derive the equation for VR(3)
4
votes
1answer
97 views

Expected payoff at future time

Let $a$, $b$, $c$, and $e$ be constants, $W_1$ and $W_2$ be Brownian motions with correlation $\rho$, and $f(t)$ and $g(t)$ be deterministic functions of time. Let $X$ satisfy $$d(X(t))=(aX(t)+ef(t)g(...
0
votes
1answer
69 views

Transform of payoff function $w_c=(\sqrt{y}-K)^+$ [on hold]

I am working on a project where I price EU call options written on the VIX index. The payoff function of interest looks like $w_c=(\sqrt{y}-K)^+$ where K is the strike price and y is the value of $...
1
vote
0answers
50 views

Creating a hedge portfolio out of 10 assets

Suppose I have historical return data on 10 assets. How can I create a hedge portfolio that prices all these assets in a factor model? I have chosen 3 factors: excess market return, SMB and HML from ...
3
votes
1answer
87 views

Value-at-Risk for a portfolio model with Gearing

My models: Say I want to construct a portfolio so I maximize my expected return while keeping my risk (measured by Value-at-Risk) lower than my risk target. $$\max \sum x_i \mu_i \\ VaR_{0.05} \leq \...
1
vote
0answers
39 views

Valueing a Short future contract with dividens [closed]

A forward of an underlying paying a yield $q$ can be priced with the equation: Price $= S_0 e^{(r-q)*t}$ or Price $= (S_0-I)e^{rt}$ Where $S_0$ = Spot price, r = interest, q = dividend yield, I = ...
0
votes
1answer
44 views

Black Scholes modified boundary conditions

Compute the price of the payoff $(2\log(S(T))-K)^+$. Before I do any algebra, I want to make sure I understand. To solve this problem, I need to solve the Black Scholes PDE with boundary condition $C(...
2
votes
3answers
143 views

Hedging a CDS sold

How would a bank that sold a CDS to a client hedge its position? Is there a replication method similar to what is done with option hedging or other methods used? Many thanks
0
votes
0answers
15 views

Binomial correlation measure in the trivariate case

I have a question about the binomial correlation measure at page 530 in Hull(2009), Options futures and other derivatives (7th Edition) which is defined for the bivariate case as: $\beta_{AB}(T)=\...
1
vote
1answer
88 views

A positive Sharpe ratio when portfolio loses money, can that happen or bug in my code?

I'm having a trouble calculating (annualized from daily performance) Sharpe ratio, even though I've read some related posts here. Say I have a daily performance, for example: $$[1.15, 1.2, 0.7]$$ ...
-1
votes
0answers
23 views

monthly conditional volatility using EGARCH model

I need the conditional volatility values using the egarch model in eviews. The result of the estimation that I get is a table where there are coefficients, p values....My question is that how could I ...
1
vote
1answer
43 views

Predicting microstructure momentum in market making

If I have a market maker which is compelled to provide quotes on both sides of the market, I am exposed to risk of quadratic losses (vs my linear gains during normal operations) during times when the ...
0
votes
0answers
34 views

Another variation of the 'Sharpe ratio' in CVaR-based portfolio optimization?

Question What is the ratio S(p) shown below? Do we have a name for it like 'Sharpe ratio'? The ratio above is introduced in the academic paper Optimal portfolio selection in a Value-at-Risk framework ...
0
votes
0answers
69 views

Calculating min/max price range using volatility

I'm trying to reconcile two methods of forecasting price ranges with say 95% confidence over a 50 day period given the annual365 IV say 19.1% = 1% daily volatility take the daily standard deviation ...
2
votes
0answers
17 views

Convolution of generalized hyperbolic distribution

I have a question concerning the convolution of generalized hyperbolic distributions. Proposition 6.13 of McNeil, Embrechts, Frey states the following: If $X$ has a $d$-dimensional generalized ...
-3
votes
0answers
23 views

Why a Quadratic Utility Function will imply an investor's utility function [closed]

Explain why a quadratic utility function U(W) = W – bW2/2, b > 0 will imply that an investor’s utility function will be a function of the mean return and the variance of his portfolio. Show why this ...
3
votes
1answer
63 views

The conditional mean of a product of standard Brownian motions

Suppose $\{W_t, t>=0\}$ is a Standard Brownian Motion. How to compute $ \mathbb{E} \left[ W_2 W_3 \vert W_1 =0 \right]$? We know $ W_2 \vert W_1 = 0 \sim N(0,1)$ and $ W_3 \vert W_1 = 0 \sim N(0,...
1
vote
0answers
39 views

QuantLibXL no intraday pricing, even with QL_HIGH_RESOLUTION_DATE enabled while compiling

I built QuantLibXL myself following the instruction here: https://www.quantlib.org/quantlibaddin/build_qlxl.html And in the QuantLib code, I turned on the QL_HIGH_RESOLUTION_DATE flag, before I run ...
2
votes
1answer
44 views

Markowitz portfolio optimization and CAL [on hold]

Just had some questions regarding the efficient frontier and the CAL. As i understand it the point where the CAL is tangent to the efficient frontier is the optimal mix of risky assets. However I also ...
1
vote
1answer
60 views

Risk-neutral density from spot prices?

I am currently working on a university project and I hope someone can help me out with a rather silly question :-) I want to analyse the change in the shape of risk-neutral density functions of spot ...
3
votes
0answers
56 views

Is there a more efficient data structure to implement binomial trees than 2d array?

I'm just curious what is the "industry standard" for implementing a binomial tree (if "standards" exist in this case). For simplicity, let's just talk about the simplest trees with recombining nodes. ...
1
vote
0answers
30 views

Reason for stale sovereign CDS spreads (e.g. Greece)

I have a dataset of CDS spreads for European sovereign from Thomson Reuters Datastream. I noticed for some entities in some timeframes, spreads are essentially stale. For example in the case of greece ...
4
votes
0answers
73 views

Zero-rebate barrier option pricing under the Heston model

I'm trying to derive an approximation for the zero-rebate barrier option under the Heston model: $$dS_t=\mu S_tdt+\sqrt{v_t}S_tdW^S_t$$ $$dv_t=\kappa(\bar{v}-v_t)dt+\eta\sqrt{v_t}dW^v_t,\quad d\langle ...
1
vote
1answer
101 views

Is studying R quantstrat worth the effort for an individual trader? [closed]

I see at least two problems. The R package quantstrat is poorly documented. And one must have dividends adjusted data. Otherwise the test results will be irrelevant.
1
vote
0answers
18 views

How to measure effectiveness of CDS hedging

In a fixed income emerging markets portfolio investing in Sovereign and Corporates, CDS on governement bonds are used for hedging credit risk. To be clear CDS are used to hedge both the exposure of ...
4
votes
0answers
65 views

Whats the big deal between volatility and the risk free rate?

I am trying to understand asset price volatility. Many of the news articles I read link how stock market volatility is linked to asset price volatility? To give an example, in Mike Mackenzie's (...
6
votes
0answers
52 views

Formal proof market incompleteness under jump diffusion

Does anyone have formal proof of markets incompleteness under jump diffusion ? I am familiar with the intuitive approach as mentioned in Tankov (delta), yet I am looking for a formal approach and ...

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