0
votes
1answer
72 views

How do I simulate stock prices for a 10 asset portfolio, over a period of 10 years in MATLAB? [closed]

If I have given vectors for return and volatility (i.e. I have two 1x10 vectors), and I assume at first that their correlation is 0 (meaning my covariance-variance matrix is just diagonal), how do I ...
1
vote
2answers
91 views

Basket Option weight sensitivity calculation

I am looking to find/estimate the "greeks"/option price sensitivities/derivatives for a basket option situation. In specific the change in price of a put option associated with a change in weight of a ...
11
votes
0answers
167 views

Which interest rate model for which product

Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense. The models I have in ...
6
votes
1answer
82 views

Model calibration to illiquid assets when pricing options with long maturities

Let us assume one is interested in pricing an option with a very long maturity (up to 20 or 30 years) on a liquid underlying. The market won't have liquid quotes for the higher maturities. Still you ...
1
vote
1answer
105 views

binary tree options pricing model with dividend value - How should I discount the option at?

the expected value of the option given the next period up, down values is: $ Pexp = (p Price_{next, up} + (1 - p) Price_{next, down})/R$ where p is defined as $p = \frac{\exp(-r \times \Delta t) - ...
0
votes
0answers
68 views

Hull's method for the optimal hedge ratio: why?

To illustrate my question, let's assume that the owner of one unit of asset (unit spot price variable S) needs to sell this asset at time T in the future. In order to hedge against a possible fall ...
4
votes
1answer
62 views

Korean Bond futures market: is there a fundamental difference between 3yrs, 5yrs and 10yrs contracts?

I would like to model Korean government bond futures. So far I know two concepts (just a short, incomplete description) cash-settled futures (e.g. Australia): The average yield of a basket of bonds ...
0
votes
0answers
48 views

Realized volatility Create index from individual stock data?

I am about to estimate realized volatility on high frequent stocks. I am aware of the implications of the model (e.g. microstructure etc.) But what I dont know is how I can create an index to estimate ...
2
votes
2answers
118 views

What information about the stochastic process is available from path-dependent options?

Assume the stock follows a process, which is defined by the following stochastic differential equation $$\frac{dS}{S}=r(t)dt+\sigma(S,t)dW,$$ so that the stock price process has local volatility. ...
2
votes
3answers
123 views

Why are short expiries associated with more pronounced volatility skews?

I've noticed that for a given strike price, the shorter expiration dates of options have more pronounced volatilities why is that?
1
vote
1answer
93 views

Interpolating spot rates given intermittent coupon-bond prices.

I'm trying to bootstrap spot rates given coupon-paying bond data. To simplify my problem, assume we are working with only 3 given data, the price/coupon rate on semi-annual bonds maturing in 0.5, 1, ...
0
votes
1answer
63 views

I want to keep a column in getSymbols or get.hist.quote with the Date as as.Date format [closed]

I use getSymbols to download historical information over an environment with 200 tickers but I cannot seem to keep the date information from becoming an index. I ...
4
votes
1answer
67 views

The distribution of jump gaps for Levy processes

Assume $X_{t}$ is a Levy process with triplet $(\sigma^{2}, \lambda, \nu)$, here $\nu$ is the Levy measure of $X_{t}$. Define $\tau_{1},\tau_{2},\dots$ be the time gap between the successive jumps ...
0
votes
1answer
71 views

Can we model components in a set of multivariate multi-period time-series data?

There are N data sets in periods occurring weekly/monthly, across a 10-year historical timeline. In each period, five dates are observed (labelled a to e), where a denotes the day the period ...
2
votes
1answer
169 views

How to replicate this option?

I have a question I am not sure how to approach: Suppose interest rates is 50%, a stock worth \$1 today can be worth \$2, \$1, \$0.5 next year. If the option that pays \$1 only when S = \$2 is ...
-1
votes
2answers
82 views

What is the most amount of money the consumer would be willing to pay to play take this gamble?

Suppose a consumer has log-utility over wealth, defined by $u(W) = \ln(W)$. Suppose this consumer has $100$, and is considering taking a gamble in which the consumer flips a coin, and gets $20$ she ...
3
votes
1answer
81 views

Attributing the change in NII to Shift, Twist and Butterfly

The movement of the zero rate curves can be decomposed into a shift movement (the level of interest rates) and a twist movement (the slope of the curve) and butterfly (the curvature of the curve). If ...
0
votes
0answers
40 views

Estimate the effect of a buy order on stock price

If a stock is having ask = 100$ for 100 shares Ask size, and I put a buy market order for 1000 shares, is there an approach to estimate that this buy order will move up the stock price by what %? I ...
2
votes
3answers
159 views

Is it wrong to use 'real world' probabilities for option valuation?

Is it wrong to use 'real world' probabilities for option valuation, even when the market is not liquid enough to delta hedge the option? My instinct is that it is wrong, because the time value of ...
3
votes
1answer
97 views

Calibrating Hull-White using volatility data

I would like to calibrate Hull-White model using volatility data.I am using [Park (2004)] paper as a reference. He suggests to minimize the following objective function: where the first term is ...
0
votes
1answer
67 views

Change of order size

For example I am put a limit order of size 10 at top bid. moments later, my algorithm detects we should have size of 50 here. So we request a update on this order. My question is, will we lose the ...
0
votes
0answers
34 views

Issuing bonds at discount - computing effective interest rate

Suppose Southwest Airlines issued 100,000 USD of 9%, 5-year bonds when the market interest rate is 10%. The market price of the bonds drops, and Southwest receives $96,149. First of all, in my ...
8
votes
2answers
418 views

Is it possible to understand financial theory without mathematics?

I am trying to develop a short course on financial theory, covering the fundamentals of forward and options pricing, and 'efficient market' theory. I want to reduce the amount of mathematics to a ...
2
votes
2answers
106 views

Lower bound of ITM Calls when computing Implied Volatility

Assuming the Black Scholes model and pricing formula of a European call option. Then, if the call is ITM, i.e. if $ln(\frac{S}{K})>0$, the $d_1$-term will go towards infinity as $\sigma$ goes to ...
0
votes
1answer
96 views

Estimate the market maker's price from the posted Bid/Ask and Trade price

If I see a Bid at 181.77 and and Ask at 181.78 for SPY and then immediately see a trade filled at 181.77 on BATS, then what can we conclude about market making activity? i.e At what price did the ...
3
votes
0answers
80 views

Reasoning for Bloomberg's short rate volatilty calculation

Bloomberg, in its documentation, explains that it calculates the short rate volatility for its Hull White implementation by multiplying the e.g. 10y IRS rate (divided by 100) by the 10y cap vol. Why? ...
0
votes
0answers
72 views

Stock Price Question

Can anyone show me how to answer this please? A stock has beta of 2.0 and stock specific daily volatility of 0.04. Suppose that yesterday’s closing price was 95 and today the market goes up by 3%. ...
3
votes
3answers
194 views

Is the number of outstanding shares a stationary series?

I'm doing a panel data analysis where the log of the freefloat number of outstanding shares is one of the explanatory variables, but it fails the Augmented Dickey Fuller and Person Phillips unit root ...
2
votes
3answers
193 views

Simulating the short rate in the Hull-White model

What is the best way to simulate the short rate $r(t)$ in a simple one factor Hull White process? Suppose I have $$ dr(t) = (\theta(t)-\alpha r(t))dt+\sigma dW_t $$ where $\theta(t)$ is calibrated ...
4
votes
2answers
169 views

Is there any academic material regarding robust optimization with fixed transaction costs?

I'm looking to piece together a robust optimization model that handles robust optimization with fixed transaction costs and other combinatorial variables (e.g. asset count constraints). Here's what ...
1
vote
1answer
80 views

Volatility calculation for intra-day cash-or-nothing call binary option

Firstly, I do not have a quant finance background. This is new to me, and I imagine that this is a basic question for this group. I am calculating the price of a binary/digital option with ...
4
votes
1answer
111 views

Derivation of the Stochastic Vol PDE

I'm trying to follow the derivation of the stochastic vol pde for an option price - as given in Gatheral (The vol surface), Wilmott on Quant Finance and many other places. As usual one starts off with ...
1
vote
1answer
68 views

Is it illegal for a publicly traded company to publish inaccurate financial data?

If you are the book keeper for a publicly traded company and you misrepresent the financial earnings of the company (even if by accident) for an earnings quarter, is this illegal?
3
votes
1answer
43 views

Why does my posterior mean differs from Idzorek's results?

I have implemented two different expressions (Idzorek p.6, Walters p.51) of a posterior mean return calculation within a Black-Litterman framework. My results are the same, irrespective of the ...
4
votes
3answers
246 views

Papers and algorithms on bidding schemes for best order execution?

I'm building an automated option trading bot that executes common options multi-leg strategies (straddles, spreads) and I want to learn the best way to execute my orders. As you know, the bid-ask ...
1
vote
2answers
153 views

Brokers offering low-cost / free accounts [closed]

I'm attempting a "hello world" of live algorithmic trading. A script that pulls in tick data, presents it visually, and allows me to buy / sell at the press of a button. Also a toggle between { fake ...
-2
votes
1answer
67 views

How can foreign investment have a negative figure?

Just looking at http://www.tradingeconomics.com/japan/foreign-bond-investment Wondering how can foreign bond investment be negative? You can have 0 investment, you can have positive investment, but ...
0
votes
0answers
34 views

Is there any way to adjust the average cumulative credit loss rates (Exihibit 22) in Annual Default Study 1920-2012 by Moody due to country risk?

I would like to know whether we can adjust the average cumulative credit loss rates (Exihibit 22) in Annual Default Study 1920-2012 by Moody due to country risk (eg. Damodaran country risk premium). ...
0
votes
1answer
83 views

Data feed for 10 year government bond yields [duplicate]

I am trying to access a data feed for 10 year sovereign bond yields for countries, say the G20. I have tried world bank and IMF data api sources but to no avail. The data feed is used to update an ...
2
votes
0answers
42 views

Multivariate interpolation for estimating FDM in-between grid points

After implementing some FDM to price some option, there are gaps between our grid points that may be of interest. From reading around, it appears common to use bilinear interpolation to estimate ...
1
vote
0answers
60 views

What is the best way to describe latency?

What are good ways of describe observed tick data latency with a view to flagging when something is systematically wrong? For example, we would want to discount outlier ticks so that we do not alert ...
6
votes
0answers
105 views

T-Forward Price on risk-neutral measure

i have and question concerning the T-forward price definition on the Robert J.Elliot's book : Mathematics of Financial Markets. On his chapter 9, definition 9.1.3 p.249. He give the formula without ...
-3
votes
1answer
80 views

Interest Rate Swaps on Mortgages [closed]

Is it possible to get interest rate swaps on mortgages? If not, why not? Are there models that describe this? Any direction would be great.
4
votes
2answers
350 views

Value of American Call vs Value of European Call when using implicit finite differences

I calculated values for put options (european and american) using the implicit finite difference method and compared them to black/scholes values. The values for american put options are higher than ...
2
votes
1answer
47 views

Finding Credit Risk Population Data

Are there any free or relatively cheap sources of aggregate data on credit risk for specific geographic regions, ages, and so on?
3
votes
1answer
216 views

what's the relationship between forecasted stock volatility and implied volatility?(option)

what's the relationship between forecasted stock volatility and implied volatility? I know that implied volatility is the volatility calculated by BS formula, is there any relationship between implied ...
2
votes
3answers
167 views

Estimate reasonable trade sizing based on daily volume

Let's assume we have data for daily volumes traded on some asset (and open interests as well). Now if we are planning to make a trade we don't want to fat-finger it and want it to be of a reasonable ...
1
vote
1answer
84 views

Economic indicators leading the yield curve

There is a lot of research on how the government yield curve can be used to predict the economy. The government yield curve is often seen as a leading indicator. But for which variables is the curve a ...
2
votes
0answers
58 views

Funding spread in FVA calculation

For the FVA calculation, is the funding spread (either borrowing or lending) treated as a piecewise constant function (i.e., if the length of the exposure is 5 month and I know the 3 and 6 months ...
0
votes
0answers
45 views

Interpolation on CDS rates

I am just wondering if there is any way we could calculate a CDS Spread (not harzard rate) on a CDS curve. Most of the papers that I have come across so far discuss about interpolating the hazard ...

15 30 50 per page