1
vote
1answer
5 views

CIR model problem - deriving PDE, Feynman-Kac

I am reviewing a CIR model problem, where $r_t$ has following dynamics $$dr_t=a(b-r_t)dt+\sigma \sqrt{r_t} dW_t^* \quad \quad (1)$$ for some constants $ab>\frac{\sigma^2}{2} \quad$ Letting T ...
0
votes
0answers
4 views

Simple Matlab Log Normal?

f=exp(-(((log(x)-log(100)-(.1((.15)^2)/2))^2))/(2*.15^2))/(x(.15)*sqrt(2*pi)); plot(f); I can't seem to plot this lognormal distribution in matlab, can someone help me? I am trying to find what ...
5
votes
3answers
117 views

Creating Options Database

I am trying to create a database which will hold information for various stock options and will need to be updated daily. The idea is to use this database to keep track of changes in the open interest ...
4
votes
1answer
82 views

Realized variance in SVJJ (Heston with jumps) model

I am working with the stochastic volatility model with jumps in both the price and volatility dynamics, ie. the risk neutral dynamics are of the form: $\mathrm{d}V_t = \kappa(\theta - V_t)\mathrm{d}t ...
0
votes
2answers
48 views

Solving for r in the Black Scholes equation

Could you please correct which parts of my reasoning are wrong? Let's suppose that I know for sure that my estimate for a stock volatility is right (I have a crystal ball) and that it will be for ...
0
votes
1answer
18 views

LIBOR 3M and 1M from Vasicek model

I would like to discuss my approach toward modelling of interest rates with respect to its downsides and advantages. My problem is to forecast daily LIBOR 3M and LIBOR 1M over a particular time ...
0
votes
1answer
18 views

LIBOR rates from Vasicek/Hull-White model?

I am somehow puzzled by the following problem: LIBOR rates are forward rates for an interbank loan for 1M or 3M (let's limit the range of possibilities to these two cases). Assuming that I have ...
3
votes
1answer
175 views

Hedging - calculating option prices using implied volatility surface

To hedge a strategy is it accurate "enough" to price an option using an implied vol curve vs moneyness (strike/spot) assuming sticky delta? The moneyness can be read off the chart, its corresponding ...
6
votes
5answers
133 views

Investment Grade Bond vs Junk Bond, whose duration is larger?

Just wondering how to calculate duration when take credit risk into consideration. I think if duration is calculated as weighted average of cashflow time, and weights are calculated using present ...
6
votes
1answer
381 views

Cheat/sheet summary of financial laws and regulations

I wonder whether there are or we can collect cheat-sheets for the various international regulations of the financial markets. There is e.g. the Dodd-Frank act for the US. Can we gather cheat sheets ...
1
vote
1answer
106 views

Complicated American style option contract with numerous non-standard features (simultanous exercise, additional premium, etc.)

I want to value the following contract for times $0<t<T$, i.e. determine $V(t,\cdot)$ where $\cdot$ refers to all other dependences (strike, spot, volatility, etc.). The contract is long and ...
6
votes
1answer
31 views

Where to get Tobin's Q by country

I am trying to rank countries based on Tobin's Q ratio. US data can be easily gathered from FED's report and is available on multiple website. I want get data on other countries with high Index of ...
7
votes
2answers
186 views

When did volatilities start to smile in capital markets?

Glimpsing through literature, I read that volatilities in the equity market started to display a smile after the crash in 1987. But when did volatilities start to smile in capital markets?
0
votes
0answers
37 views

approximating fBm stochastic integral

Suppose I have the following stochastic integral: $$\int_a^b f(t)dB_H(t)$$ with the term $dB_H(t)$ a fractional brownian motion with associated $H$ parameter. Is it true that for $H \in (1/2,1)$, ...
2
votes
1answer
42 views

Order ID or Broker information from TAQ or Limit Order book?

Is it possible to see if a big order was executed in smaller chunks, and at what prices and times?
2
votes
0answers
15 views

Computing the distribution of 0.05 quantiles through Monte-Carlo simulation

I am trying to get admitted to a masters in quantitative finance (I come from a computer science background), so next week I will have 3h to solve an exam in statistical computing using my favourite ...
1
vote
1answer
49 views

Parametric VaR of a portfolio including a swap

I am calcualting the parametric VaR of a portfolio that includes among other things an IRS swap that begins in the exact same day the valuation is done. Therefore, its NPV is 0 and I do not which ...
7
votes
4answers
377 views

Calculating VaR with Monte Carlo simulation

I would like some help here :) I have a problem calculating VaR with the Monte Carlo Simulation. I have followed then next steps, is this a right way to calculate VaR or I need something more? ...
0
votes
0answers
37 views

existence of implied volatility

I read a book where it was written : 1/ "implied volatility is the market's consensus on the volatility of the asset between now and the maturity of the option". -> Could someone explain me this ...
-1
votes
1answer
48 views

How to statistically prove that an automated trading strategy outperforms the market? [on hold]

For a university project, I have been working on a rather complex automated trading strategy, that levers machine learning techniques. I backtested the algorithm, as a result I have daily return data ...
0
votes
0answers
23 views

Expected Value of Products of Processes

Suppose I have two processes. $A_t = A_0 \exp((a-\frac{1}{2}\sigma_A^2)t+\sigma_A W_t^A$ $B_t = B_0 \exp((b-\frac{1}{2}\sigma_B^2)t+\sigma_B W_t^B$ I would like to calculate $E[A_s B_t]$ where s ...
1
vote
0answers
17 views

Calculation loan's margin from bank perspective

I was wondering how bank calculates in practice the amount of money it earns after granting a credit (I hope margin is the proper word). Supposing, that the client took 3-year 10000 euros loan (36 ...
-2
votes
0answers
14 views

What's the price per share (venture capital)? [on hold]

Let's imagine that I invested 16 000 dollars in my own business start-up. Simultaneously I convinced my two friends to invest 16 000 dollars: Alex (10 000 dollars in 2500 shares) and Zex (6 000 ...
0
votes
0answers
17 views

FX Modeling references

I would like to have some sugestions of reference books on FX modeling with strong mathematical approach, preferably combined with market pratictioner quant perspective. All sugesting are welcome! ...
0
votes
0answers
22 views

Discount factor taking into account yield curve shape

I have always been told that the discount factor formula is just: $$ DF(T) = \frac{1}{(1+L_{t_0})^T} $$ where $L_{t_0}$ is the LIBOR rate on one period (the first one I guess) and $T$ the number of ...
0
votes
0answers
19 views

Volatility Smile Approximation

Does anyone know what type of model is used to model the skew and IVs inside Thinkorswim platform for its volatility smile approximation? I am trying to replicate but do not know where to start. Any ...
1
vote
1answer
170 views

BEKK - GARCH model in Stata

Is it possible to run BEKK-GARCH in Stata? mgarch is of a different model type and google provide me with no good hints.
1
vote
2answers
60 views

How to show that the exponential Vasicek model is not an affine term-structure model?

From the pricing formula, we know that the value at time $t\in [0,T]$ of a zero coupon bond maturing at time $T$ is $$ B(t,T)=E\left(\exp{\left(-\int_{t}^{T}r_sds\right)}\bigg|\mathcal{F}_t\right). ...
0
votes
0answers
25 views

American call early exercise, considering a portfolio

Im aware there are lots of questions about this, but I am interested in a particular method of showing why an american call (with no dividends) should not exercised early. Here is the text I'm ...
0
votes
1answer
47 views

Ho-Lee model - A and B derivation for $P(t,T)=e^{-A(t,T)-B(t,T)r_t}$

I am analyzing the transition of the bond prices in the affine models in the form of $P(t,T)=e^{-A(t,T)-B(t,T)r_t}$ using the property that the diffusion and the drift of an affine model can be ...
9
votes
1answer
143 views

How do different models impact option Greeks?

If I trade an option using delta, vega, Prob OTM, etc. these are derived from a model. How do leading models impact valuations in terms of the Greeks? I suppose to form a baseline it would have to be ...
-1
votes
1answer
31 views

Determining confidence level of directional signals

With regards to technical analysis, are there ways of determining the confidence level of a directional signal? Taking a relative strength index (RSI) as an example, can the extent to which an asset ...
2
votes
1answer
127 views

Calendar Arbitrage in a Vol Surface

I am trying to determine the condition such that my implied vol surface doesn't have calendar arbitrage. I have done research and found that one such condition is that total variance should increase ...
-1
votes
0answers
9 views

Does any one know to connect to trade tiver api using c# [on hold]

My broker sharekhan have provided api, I want to create an automated order placement but how to connect to api using c#
0
votes
1answer
33 views

When is option value inversely related to expected volatility?

It is common knowledge that the greater the expected value, the higher the option value. However, there are surely exceptions, as written by Paul Wilmott's FAQs in Quantitative Finance Q: If you ...
3
votes
2answers
330 views

Black-Scholes under stochastic interest rates

I'm trying to implement the Black-Scholes formula to price a call option under stochastic interest rates. Following the book of McLeish (2005), the formula is given by (assuming interest rates are ...
3
votes
1answer
70 views

Return.portfolio error from PerformanceAnalytics package

When using the PerformanceAnalytics package of R, I am getting an error from the Return.portfolio function whenever I ask it to rebalance_on any frequency. If the rebalance parameter is removed, the ...
2
votes
3answers
47 views

What does it mean for an option strategy to be leveraged

Probably a newbie question, but what do traders mean when they say that an option strategy is leveraged ? And when can we say that it is the case ?
1
vote
1answer
52 views

Quanto/Compo adjustments - Product of two geometric brownian motion

Let's say I have two processes $X_t =X_0 \exp((a-\frac{1}{2}\sigma_X^2)t +\sigma_X dW_t^1)$ and $Y_t=Y_0 \exp((b-\frac{1}{2}\sigma_Y^2)t +\sigma_Y dW_t^2)$ and I then multiply them together (like ...
1
vote
1answer
31 views

“Expectation” of a FX Forward

I have an FX process $X_t = X_0 \exp((r_d-r_f)t+ \sigma W_t)$. Now clearly $E[X_t] = F_{0,t}^X$. i.e. a forward contract of the process $X$ starting at time 0 and maturing at time $t$. What if I ...
0
votes
1answer
47 views

trading equities on options feed/microstructure data

Obviously, not asking for a trading strategy, but do people successfully use options feed/microstructure data to trade equities intraday? What's the general framework for such strategies?
4
votes
2answers
612 views

How many monte carlo runs do I need for pricing a Call?

I have to price several calls using Monte Carlo. Obviously, there is a huge tradeoff between the number of runs and the fair price of the call option. I know I can check how the approximation changes ...
0
votes
1answer
30 views

Quantum Computing for Quantitative Finance

It's been a while that quantum computing is looked as the next step in computational science. I somewhat always tought we were decade aways from it's happening but it appears I was wrong: ...
1
vote
1answer
24 views

ATM volatility and flat volatility

Why do the implied volatility curve and the flat curve cross over the ATM volatility (at 100%) ? Tx
0
votes
0answers
8 views

How to reduce variance of mean reversion estimator with maximum likelihood?

I estimate the parameters of an Ornstein-Uhlenbeck process with Maximum Likelihood. The mean reversion speed estimator is well known to be biased. There are methods to reduce the value of the expected ...
7
votes
2answers
216 views

How to price an option allowing to change a call into a put?

A recruiter asked me this question: Suppose you have the following contract: a call option with maturity T = 2 years the possibility to change this call into a put at t = 1 year What is the price ...
6
votes
1answer
104 views

Stochastic control (HJB) for wealth process involving stopping times

Given a wealth process that evolves as $$d w_t = r w_t dt + \theta_t ( \sigma dW_t + (\mu-r) dt) - c_t dt.$$ where $\theta_t$ is the worth of holding at time $t$ and $c_t$ is the consumption stream. ...
3
votes
1answer
65 views

Girsanov Theorem for Quanto/Compo adjustment

Assume that I have a foreign asset $$Y_t = Y_0 \exp \left((r_f-\frac{1}{2}\sigma^2_Y)t+\sigma_Y W_t^1\right)$$ and an exchange rate $$X_t = X_0 \exp\left((r_d-r_f-\frac{1}{2}\sigma^2_X)t+\sigma_X ...
3
votes
0answers
125 views

A doubt about Evans and Jovanovic (1989) economic model for entrepreneurs with credit constraints

[I already posted this question on the math forum of stackexchange and I was advised that I should post this question here] In Evans and Jovanovic (1989) you will find a model for entrepreneurs with ...
0
votes
0answers
16 views

How to find loans for investor collateral

I got this asssigment: Company A lends 20 mil from investor and has to put up investment collateral of 30 mil worth of loans. Company A operates in underwriting business. Collateral loans have to ...

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