0
votes
0answers
18 views

What is the importance behind an efficient frontier to be a straight line in the standard deviation-mean plane for Mean-Variance Portfolio Selection?

I'm currently working on a research project regarding Continuous-Time Mean-Variance Portfolio Selection problem. I got curious on why is it important for the efficient frontier to be a straight line ...
3
votes
1answer
101 views

What is the heat-map method of calculating VaR?

I'm familiar with the historical full revaluation, VcV, and Delta-gamma methods, but a client keeps talking about a heat-map method and I'm not sure what he's talking about. Any ideas?
0
votes
2answers
112 views

Step By Step method to calculating VaR using MonteCarlo Simulations

In trying to find VaR for 5 financial assets with prices over a long period of time(2000 days worth of data) how would I do the following: Carry out monte-carlo simulation in order to find a VaR ...
1
vote
1answer
23 views

Cash Flow for Operating Cost, Sheldon Ross Question

In his An Elementary Introduction to Mathematical Finance, 3rd Edition book, pg. 55, Sheldon Ross has a question - A company needs a certain type of machine for the next five years. They ...
0
votes
1answer
52 views

Is there a way to meaningfully generate daily returns from monthly?

I have a set of 7 investments in a portfolio and I need to optimize the weightings based on some exposures to various markets/styles/economic factors. I was hoping to do some sort of simple exposure ...
0
votes
1answer
38 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 ...
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
193 views

Can I use PyAlgoTrade for Forex?

Is it possible to use PyAlgoTrade for Forex related algorithms? If it is, please point me in the right direction on how to get PyAlgoTrade to work on Forex data.
5
votes
1answer
163 views

Calibration Merton Jump-Diffusion

Consider the following SDE $dV_t = rV_tdt +\sigma V_t dW_t + dJ_t$ where $J_t$ is a Compound poisson process with log-Normal jump size $Y_i$. How am I supposed to calibrate this model to CDS ...
8
votes
2answers
3k views

SPX options vs VIX futures trading

Forward volatility implied by SPX options, and that of VIX futures get out of line. If there existed VIX SQUARED futures they could easily be replicated (and arbitraged) with a strip of SPX options. ...
4
votes
1answer
87 views

Where to find daily European value factor data?

Kenneth R. French website only provides monthly European factor data. I want to track this data daily. Here's what I tried: MSCI Europe Barra Value Index - it's long short 130/30, not 100/100. ...
6
votes
1answer
134 views

How to perform risk budgeting for non-linear portfolios?

I am using this question to compute optimal weights following a risk budgeting approach. The problem is I am using non-linear portfolios (options,equity,fixed income,fx). What I am looking for is ...
3
votes
1answer
54 views

Yahoo data meaning of “close” and “adjusted close”

When there's a 2-for-1 stock split, the number of shares doubles, while the value of the stock halves For symbol 2154 on the Tokyo Stock Exchange, there was such a 2-for-1 split on 2016/3/29. ...
4
votes
1answer
82 views

How to express the volatility of two correlated Ito processes $Wt_1, Wt_2$ expressed in terms of $W_t$?

Having two correlated Ito processes ($W_t^1$ and $W_t^2$ are correlated Brownian motions with correlation $\rho$) $dX_{t} =\mu_{1} dt + \sigma_1 dWt_1 $ $dY_{t} = \mu_{2} dt + \sigma_2 dWt_2 $ ...
0
votes
0answers
47 views

Easy question (?) - how to measure if volatility for two samples is significantly different?

For my bachelor thesis I'm doing a research where at one point I want to measure if volatility for a certain sample of stocks in period A is significantly different from i) the same sample of stocks ...
4
votes
1answer
612 views

Open source equity/bond index data

I have been using the tseries package of R (get.hist.quote) to get historical quotes for various indices from yahoo finance. I am interested in DAX, VDAX, EB.REXX ...
1
vote
1answer
41 views

Non-contractual accounts behavioural study

I need to carry a non-contractual accounts behavoiural study for a bank. The objective is to estimate core/non core ratios and then bucket and ftp them. Any recipe where to start? I have 3yrs of ...
0
votes
1answer
43 views

Compiling QuantLib example

I have followed the guidlines for installing QuantLib for mac from here http://quantlib.org/install/macosx.shtml and also fixed the flags using the commands: export CXXFLAGS = -stdlib=libstdc++ ...
2
votes
1answer
90 views

SABR Implied Volatility and Option Prices

I am trying to understand SABR model. I am having difficulty to understand how to calibrate ABR a) the initial variance b) the volatility of variance c) the exponent for the forward rate d)the ...
0
votes
0answers
24 views

Convert 90-Day Tbill to risk free rate on continuous basis

I am trying to use the BS formula to compute the value of a call option. To do that I need the risk free rate on a continuous basis. As far as I know, people typically use the 90 day TBill as a proxy ...
0
votes
2answers
107 views

How to automatically get all options data for a particular stock into microsoft excel?

I'm looking for a way to get the entire options chain (All options expiries) for a particular stock in excel without manually copy pasting anything. It does not have to be real time and I will only be ...
0
votes
1answer
31 views

how to measure a event driven strategy?

How to measure an event driven investment strategy? Say I have a strategy which I assume that if a firm has positive momentum and it has a refinance corporate action, it's value will increase. For ...
1
vote
1answer
26 views

arbitrage proof question

prove the condition $D<R<U$ is equivalent to the absence of arbitrage: R = risk free investment rate of return. U and D are returns corresponding to the upward/downward price movements of a ...
5
votes
1answer
222 views

Up and Down days in GBPUSD and a Filter

I want to study if the odds of an up or down day in a forex pairs is 50-50. I just count the total number of up and down days in X years and compare it with the total days. The results are very ...
2
votes
1answer
81 views

VEC GARCH (1,1) for 4 time series

I have to estimate a VEC GARCH(1,1) model in R. I already tried rmgarch, fGarch, ccgarch, mgarch, tsDyn. Has somebody estimated a model like that? ...
5
votes
1answer
148 views

DCC GARCH - Specificating of ARCH and GARCH parameter Matrices STATA

The command in STATA to calculate the DCC model of two variables is: mgarch dcc ( x1 x2=, noconstant) , arch(1) garch(1) distribution(t) $$ \begin{bmatrix} ...
1
vote
1answer
44 views

Historical volatility from non-uniform samples

The way I compute historical volatility is that I take two parameters $dt$ and $T$, get a list of stock prices with the step of $dt$ over the window $T$ (so $T/dt+1$ samples in total), compute $T/dt$ ...
3
votes
1answer
60 views

Why can a swap option be regarded as a type of Bond option?

Why can a swap option be regarded as a type of bond option? My idea: Suppose the swap rate of the swaption is $s$. Now consider a bond option expiring at $T$ with strike, $(P_K)_t = ...
3
votes
1answer
30 views

What is the effect of mean-reversion on an upper barrier knock-out call option?

Consider a mean-reverting normal model for an underlying $dX^{(1)}_t=-\kappa X^{(1)}_tdt+\sigma^{(1)} dW^{(1)}_t$, for fixed time-independent constants, $\kappa$ (mean-reversion) and $\sigma^{(1)}$ ...
3
votes
2answers
40 views

Integration to calculate expected value of swap rate

In Hagan's paper on valuing CMS swaps (Convexity Conundrums: Pricing CMS Swaps, Caps, and Floors), there is: So the swap rate must also be a Martingale, and $$E \big[ R_s(\tau) \big| ...
1
vote
1answer
104 views

quantlib python : missing methods?

I'm reading Introduction to Selected Classes of the QuantLib Library I by Dimitri Reiswich and tries to "convert" it to Python. It seems to me that some C++ possibilities aren't available in python. ...
0
votes
1answer
42 views

Payoff of option

Consider the payoff $g(S_T)$ shown the figure: I believe the payoff represented as a linear combination of the payoffs of some options with different strike and same maturity $T$ is $$g(S_T) = ...
1
vote
1answer
52 views

Derivative: Delta of a Down and Out Call Option with Barrier=Debt(K)

I am trying to compute the derivative of this function with respect to V0: This is the price of a down and out call option, assuming the barrier equal to the level of debt K. In other terms, I need ...
5
votes
3answers
184 views

Construction of VIX and VVIX

I just read the CBOE's Whitepapers for VIX and VVIX and notice that they are constructed in the same way, i.e. a range of calls and puts on the respective underlyings (S&P500 in case of VIX, and ...
6
votes
2answers
197 views

The Upper Bound of an American Put Option

I have just read the following paragraph (in bold) and have a question on the upper bound of an american put option: ...
0
votes
1answer
31 views

Excess, Residual and Active Return

in CAPM. What's the difference between these different types of returns? Active return Excess return Residual return
1
vote
1answer
32 views

Finding rate of return of bond sold before maturity

You purchase a bond today for $980; M=$1000, the coupon rate is 4% paid semi-annually, and there are n=7 years to maturity. If you sell the bond for $1025 in six months time, what is your rate of ...
0
votes
0answers
24 views

Hull white tree and the pricing of an interest rate swap

Currently, I have been able to set up the hull white tree. To price the swap, and we use the formula from Wilmott "Introduces Quantitative Finance", where we use the discount factors for all ...
1
vote
1answer
50 views

Isn't Black's approximation for American options inconsistent?

I have came across a formula suggested by Fisher Black (Fact and fantasy in the use of options, FAJ, July–August 1975, pp.36) for approximating the price of an American call written on a ...
18
votes
10answers
17k views

Is there any thing out there as a substitute for KDB?

thanks a lot for your discussions on the original post. following your suggestions, let me re-phrase a bit : kdb is known for its efficiency, and such efficiency comes at a terrible price. However, ...
0
votes
0answers
11 views

Exchange ratio (stock swap ratio) during a merger/acquisition

Good morning to all, The question is homework-related but I've done the research already. The task is to guesstimate how much money will a known company A pay if it wants to acquire the known company ...
0
votes
1answer
22 views

Pricing foreign currency bonds - which approach is more theoretically “sound”?

You own a fixed rate corporate bond in foreign currency (let's say JPY). Your domestic currency is USD. Which of the these two approaches do you consider theoretically better? Discount JPY cash ...
0
votes
0answers
12 views

Black-Sholes call value as a function of Company’s Spot Price S-Option Driven [closed]

Consider a call option on ABC Inc. with the following information: Strike price $1 Maturity: 1 year Volatility: σ Interest rate: 0% No dividends. Let c(S) be the Black-Sholes call value as ...
-2
votes
0answers
12 views

Modeled as the driftless geometric Brownian motion with instant increments [closed]

Consider a stock S currently trading at price S0. The future evolution of the stock price (St) t≥0 is modeled as the driftless geometric Brownian motion with instant increments: dSt = σStdWt, where ...
0
votes
0answers
11 views

A generalized Brownian motion [closed]

A company’s cash position, measured in millions of dollars, follows a generalized Brownian motion with a drift rate a=0.1 per month and a volatility rate b = 0.4 per month. The initial cash position ...
1
vote
2answers
31 views

Maximization with risk-neutral investors and VaR constraints

In this paper, the authors make a simple model with: (1) A global bank, who is risk-neutral but has a Value-at-Risk constraint: $$\max_{x_t^B} E_t[x_t^B\prime R_{t+1}]$$ s.t. $$\alpha ...
2
votes
2answers
47 views

Automate selection of BIC-minimizing ARIMA(1,0,X) model

I want to estimate an ARIMA(1,0,X) model. The MA(X) in the model is selected to minimize BIC. I have the following code employing the function auto.arima from ...
3
votes
1answer
47 views

Solve Black scholes PDE without using any transformation

I know that one of the methods of solving the black scholes PDE given by : $\frac{\partial V}{\partial t} + \frac{\sigma^2 S^2}{2}\frac{\partial^2V}{\partial S^2} + rS\frac{\partial V}{\partial S} -rV ...
3
votes
3answers
61 views

Are smart beta and risk parity the same?

So from what I have been reading online, smart beta ETFs aim to use a different type of weighting (instead of by market cap as traditional ETFs like SPY do to track an index) to achieve positive ...
1
vote
0answers
47 views

Replicating American call option

Consider a two-period binomial model for a risky asset with each period equal to a year and take $S_0 = 1$,$u = 1.2$, and $l=0.8$. The interest rate for both periods is $R = .05$ a.) If the ...

15 30 50 per page