1
vote
1answer
107 views

Delta hedging cost of exotic options?

I'm simulating dynamic delta hedging for up-and-out call option. For plain vanilla call options, I heard that the option price is the expected value of the accumulated delta hedging cost. Does it also ...
0
votes
0answers
57 views

calibration of Gaussian two factor short rate model

I am trying to calibrate the gaussian two factor short rate model whose dynamics is given by r(t)=x(t)+y(t)+phi(t) Now to calibrate the model to term structure ...
0
votes
0answers
47 views

Merton Jump Diffusion Model: Influence of lambda

I use Monte Carlo to simulate sample paths of Merton's jump diffusin model. By plotting a histogram of the log returns and using kerneldensity to approximate the density function I try to look at the ...
0
votes
1answer
101 views

How difficult/easy it is to migrate from CME FAST to CME MDP3.0?

Has anyone gone through this migration? Just wanted to have an idea of the amount of effort required.
2
votes
1answer
100 views

Garch models and assumption of stationarity ?

I found big inconsistency in the GARCH models and their underlying assumption of stationarity. GARCH models require that data must be stationary, where stationary means both mean and variance are ...
2
votes
1answer
124 views

Orthogonal Regression/PCA

I am doing orthogonal regression. My X matrix consists of returns on a broad market index, value index, growth index, a few sectors,.....(my Y is the returns on an equity fund) I am regressing the Y ...
4
votes
1answer
91 views

Tools/R-code to create gain/loss-asymmetry plots

The gain/loss asymmetry is a well known stylized fact: It basically states that real financial time series take longer for going up than going down. To detect it a heavy statistical machinery is ...
2
votes
1answer
107 views

FORECASTING Model AR(1) in an Autoregressive Form The Pi´s Parameters

Ive been implementing a little exercise to obtain the first 2 forecasting points of an AR(1) process. And i want to have the forecasting ponts using the three forms: Im folowing this pdf http://www.le....
1
vote
2answers
85 views

how to convert notional to nominal of bond future to ctd bond

I want to know if you can easily convert a notional of a bond futures contract into the nominal of the ctd bond if you have the conversion factor. For example you have 1000 notional of a futures ...
6
votes
2answers
88 views

Gain/loss-asymmetry in artificial financial markets?

The gain/loss asymmetry is a well known stylized fact: It basically states that real financial time series take longer for going up than going down. My question Are you aware of any artificial ...
4
votes
2answers
257 views

Why $N(d_1)$ and $N(d_2)$ are different in Black & Scholes

I'm struggling to understand the meaning of $d_1$ and $d_2$ in Black & Scholes formula and why they're different from each other. As per the formula, $$C = SN(d_1) - e^{-rT}XN(d_2)$$ which ...
2
votes
3answers
91 views

Impact of big order on price

What is known about the question: If someone buys or sells a huge amount of some asset how the price would change ? Of course, it depends on the kind of assets and other context. My main interest is ...
6
votes
1answer
148 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 ...
5
votes
1answer
407 views

Greeks of a swaption using Brigo

I struggeling with calculating the delta of a swaption. In the interest rate case I usually mess around with the multiple cash flows over time so that the discounting is more complex than in the ...
1
vote
1answer
73 views

Connection between implied volatily and implied probability

I am reading some lecture notes about Black-Scholes (BS) option pricing. Since the BS-formula is not supported by observed data because of the dependence of the implied volatility on the strik and ...
1
vote
3answers
645 views

How to learn QuantLib-python at first?

In my project, I have to get the delta of up and out call option (with vol surface). I found out that QuantLib might help me on that. Since my main language is python and I don't know well about C++, ...
0
votes
2answers
169 views

Legitimate input parameters for Nelson Siegel Svensson model

I had previously asked this question and have come to better understand the answer with regards to setting the input parameters for the Non-Linear Optimization problem that provides the NSS parameters....
4
votes
1answer
243 views

Rebalancing portfolio weights

I have a matrix of returns and weights for every time period. ...
0
votes
1answer
34 views

Compound Discounting(?)

I am a programmer interning at a small contract furniture company. This company receives multiple discounts from the manufacturers, and I am trying to calculate the end discount. For example, the ...
1
vote
1answer
53 views

Understanding portfolio weights and purchasing stock in modern portfolio theory

Recently I've been learning about the markowitz algorithm. It's pretty interesting, but I'm curious how we apply this in practice. Lets say I have some optimal portfolio: $R_p = x_aR_a + x_bR_b$ ...
2
votes
1answer
92 views

About the boundary conditions of the Black-Scholes-Merton PDE

I have a question about the solution of the Black-Scholes PDE for the European call option when I read the book Stochastic Calculus for Finance II of Steven E.Shreve. Let $c(t,x)$ be the value of the ...
0
votes
1answer
119 views

Calculating discount factors using Nelson Siegel Svensson model

I am trying to understand how to calculate the discount factors $disc(TTM)$ mentioned on Page 9 of this pdf. When I'm calculating the discount factors, mentioned each bond has its own cash flow and ...
1
vote
0answers
192 views

Carry Trade vs synthetic Carry Trade using forward contracts

When it comes to foreign exchange carry trade strategy, the definition is straightforward: an investor borrows 1 USD in the US (low interest country) and invests that $1 to AU (high interest country). ...
3
votes
1answer
102 views

Comparing Equity Funds

I am trying to compare 2 equity funds, I have 10Y of monthly returns (no knowledge of their share allocations) - and their index benchmark returns. They are both Value managers but I am not looking ...
0
votes
1answer
41 views

Transforming coupon bond returns to ZC bond returns

I am interested in aggregated Amihud ratios measures over bond groups. For a large panel data set with daily bond prices and volumes I have calculated already Amihud ratios per ISIN/day. Naive ...
3
votes
0answers
75 views

why many option contract price less than minimum boundary price?

I downloaded data from NSE(National Stock Exchange) website regarding closing price of European Call Option written on Index. From standard textbook, I read that option contract must satisfy $C(t) \...
2
votes
0answers
57 views

soft vs hard contraints in portfolio optimizations

Consider two sample portfolio optimizations: Optimization 1: $\begin{matrix} \\ \min \frac{1}{2} w'\Sigma w \\ w'\mu = r \\ Aw = 0 \\ w_l \le w \le w_u \end{matrix}$ Optimization 2: $\begin{matrix} ...
0
votes
3answers
126 views

To currency hedge or not to currency hedge (ETFs)?

When is it preferable to use a currency hedged ETF over a none currency hedged ETF? There has been studies which have shown over the longer term currency hedging does not make a difference. "...
0
votes
1answer
36 views

Term to Maturity when calculating discount function

I am just trying to understand what TTM (Term to Maturity) means in Page 8 of this PDF when calculating the discount function. Is it just the vector representing the difference between the time to ...
5
votes
4answers
458 views

Understanding $N(d_1)$ and how to use the stock itself as the numeraire?

Assume the stock price follows a geometric Brownian motion Then in Black-Scholes pricing model, $N(d_2)$ is the risk-neutral probability that the option expires in-the-money. However, it is said that $...
0
votes
2answers
331 views

What‘s the definition of static arbitrage?

Could someone give the strict definition of static arbitrage? I know what the arbitrage means but have no idea about the term "Static". Thanks in advance!
2
votes
0answers
131 views

Bayesian logit model in Psychometric or Behavioural Testing for Credit Scoring in Developing Countries

A lot of parameters in one title, I know. So there's credit scoring but not using credit history. Then there's using a Bayesian logit model. Then there's doing so in a developing country such as Haiti ...
0
votes
3answers
77 views

How can a share price be different on its open than it was on the previous close?

The changing in price of shares are down to the number of people buying or selling stock. So, if there is a large demand for a stock then the share price will increase, and if there are lots of people ...
4
votes
1answer
61 views

market change, correlation and estimation bias

I hear many quants sating that markets change very slowly. This "fact" is even presented as a justification of statistical arbitrage, for example, by affirming that correlations remain roughly the ...
2
votes
0answers
65 views

Long-term proportion of convex and concave strategies in artificial financial markets

In their classic paper "Dynamic Strategies for Asset Allocation" Perold and Sharpe state: "That convex and concave strategies are mirror images of one another tells us that the more demand there ...
2
votes
2answers
183 views

European call down and out option (geometric Brownian motion, Monte Carlo, Euler)

I need to estimate the expected value and the Greeks of an European call down and out option, assuming geometrical Brownian motion of the asset, with Monte Carlo simulation employing Euler ...
3
votes
1answer
138 views

Asset pricing - Technology

I am working a bit on this paper, which is about Long-run risk through Consumption Smoothing. In equation (8) and (9) the authors define the stochastic process for the technology as: $$Z_t = \exp(\...
1
vote
1answer
59 views

optimization with absolute constraints

Suppose I have an optimization where I need to impose ADV-like constraint (for a case where Shorting is allowed): $\max \mu'w - \lambda w'\Sigma w$ $ |w| \le V $ $ Aw = 0$ and I want to use a ...
0
votes
2answers
73 views

Correlation Between 2 Portfolios

I have a set of assets, n. I'm trying to find the correlation between 2 portfolios, say x and y, where x is nested in, or, a sub-set of y. That is, x is a portfolio based on a sub-set of n, while y is ...
0
votes
1answer
80 views

Newbie Quant: Bulding price feeder to securities master db

First of all, warm hello to all. I am newbie and i admit it, but with at least 15+ years of exp in C++. Working in IB - derivatives mainly, but unfortunately on the business side not trading at all. ...
0
votes
1answer
279 views

Setting input parameters for Nelson Siegel Svensson model

I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non-Linear Optimization problem to do this. I am trying to solve: $$ \min_\theta{\sum{(p_i - \hat p_i)^2}...
1
vote
1answer
124 views

Why is Indian rupee is stable against the USD even though most other currencies weakening?

The Indian Rupee (INR) seems fairly stable against the USD (1 USD = 62-64 INR) in the recent times even though most other currencies have weakened against USD, some by 20-30%. Apparently, INR is ...
0
votes
1answer
67 views

calculating portfolio volatility [closed]

Given: vector of portfolio weights $W = [w_1 w_1 ]$ correlation matrix $C = \left( \begin{array}{ccc} a & b \\ d & e \end{array} \right) $ standard deviation of the asset returns $S = [s_1 ...
1
vote
1answer
716 views

Libor OIS basis swap equation

I'm a little embarrassed about this because I have a PhD in math, but I'm having a little trouble working out how to bootstrap an OIS curve from libor rates and basis swap rates. If I had an equation ...
0
votes
1answer
228 views

Understanding how to obtain Nelson Siegel Svensson parameters

I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non- Linear Optimization problem to do this. I am using the procedure presented in this paper. The way I ...
1
vote
1answer
149 views

Numerical Solutions for PIDE

I want to solve an exotic options of PIDE by Numerical Methods.I just focus on the integral part of PIDE and want to underestand some tips on numerical solution of how to numerically solve it. Exactly ...
1
vote
1answer
87 views

Quantlib FRA with shifted start date

I'm new to quantlib. I am trying to construct a PiecewiseYieldCurve. I been looking at the implementation of FRA. It seems that the start date of the FRA must be an integer number of month from the ...
3
votes
1answer
78 views

Standard term for the components of a distribution waterfall?

I'm writing software for calculating distribution waterfalls. When displaying the results of a particular calculation, I want to show amounts that correspond to specific provisions in the relevant LPA....
3
votes
2answers
155 views

American vs European Options on equity index options

I have a question regarding the usage of European vs American Options. According to Professional Risk Mgr Handbook 2010, American-style options are used mostly on equities whereas European-style ...
1
vote
1answer
106 views

What Exactly is Expected Return

Consider the following plot, courtesy of this page: Regarding the $y$-axis, how does this "expected return" relate to the "instantaneous expected return" in a geometric Brownian motion (GBM)? E.g., ...

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