3
votes
2answers
220 views

Price an option and find a replicating portfolio

I got stuck on the following question whilst learning about basic option pricing. A stock is valued at \$75 today. An option will pay \$1 the first time the stock reaches \$100 in value, which it ...
2
votes
0answers
60 views

Triangular Arbitrage formula [closed]

i have 3 currencies AUD, USD and EU I am trying to work out the mathematical formula to work out if there is a spread/arbitrage opportunity as well as the maximum amount that can be conducted ( for ...
3
votes
2answers
113 views

How to Calculate a Monte Calo VaR estimation error

I'm performing a Monte Carlo to calculate value at risk (with a 3 dimension risk factor) Now, I would like to calculate the error of the estimation of the VaR with respect to the number of simulations ...
0
votes
0answers
59 views

What is the arbitrage opportunity in Arrow-Debreu One Period market Model

The one period market model is made of 4 securities(A, B, C, D) and has 4 future states. Assume the market model is complete. and the state prices are (-2, 2, 4, 8). Given that I dont know the payoff ...
0
votes
1answer
38 views

What is shorting a asset that has negative price. Can anyone give me an example? [closed]

What is shorting a asset that has negative price. Can anyone give me an example?
3
votes
3answers
210 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 ...
3
votes
1answer
142 views

what was the quant role in the 2008 crash?

this is a complex topic that interests me, have researched myself, & is debated heavily in the media and there is lots of writing, even entire books/documentaries. maybe somewhat surprisingly, ...
1
vote
0answers
38 views

How do bond futures affect effective rate when used to hedge a bond's duration?

I'm trying to wrap my head around what happens to the net interest received when an invester goes short a bond future to fully hedge the duration of his long position in an actual bond. Does it ...
7
votes
2answers
466 views

Change of measure discrete time

Suppose I have a random walk $X_{n+1} = X_n+A_n$ where $A_n$ is an iid sequence, $\mathsf EA_n = A>0$. How to construct a martingale measure for this case?
0
votes
2answers
114 views

Practical equity options pricing

To price a vanilla option, the following information are required : Strike price; Underlying price; Volatility; Maturity; Dividends rate; Repo rate; Interest rate; The strike, underlying price, ...
0
votes
1answer
280 views

S&P's Sovereign Ratings: Clarification on Definitions and Symbols

Similar to a question I asked earlier on, but I am now looking at S&P's sovereign ratings. Here, as in the case of Moody's, a few things are unclear to me in terms of the definitions used by ...
0
votes
1answer
78 views

Pricing options with two assets

I'm studying for a test and am stuck on this practice question: With interest rates equal to 0, two different stocks $S_1$ and $S_2$, both valued at \$1 today, can be worth \$2 or \$0.50 at some ...
0
votes
0answers
35 views

swaps valuation

I am asked to solve the marking to market value(MtM) of a swap, unfortunely i´m having big troubles finding the solution, it´s a 5.5% (vs. LIBOR) 10-year swap, The notional is 500 mio USD and LIBOR ...
9
votes
1answer
2k views

Which approach to estimating fundamental factor models is better, cross-sectional (unobservable) factors or time-series (observable) factors?

There are many approaches to estimating fundamental factor equity models. I would like to focus on two traditional methods: The time-series regression approach of Fama and French. Factors are ...
2
votes
1answer
202 views

Moody's Sovereign Ratings: Clarification on Definitions and Symbols

I'm working with sovereign ratings at present. With regard to Moody's there are a few things unclear to me in their definitions. Both questions refer to the sovereign rating history in Bloomberg CSDR ...
0
votes
0answers
41 views

Transaction costs of lending and borrowing

What are the transaction costs of lending and borrowing? How financial intermediaries reduce transaction costs of lending and how they reduce costs of borrowing? Thank you!
2
votes
0answers
153 views

Does Bakshi, Kapadia and Madan (2003) VIX building approach underestimate volatility?

From a paper that shortly addresses an alternative approach to VIX-like index building: To test this approach, I've built a fake book of B&S options with constant volatility equal to ...
2
votes
2answers
129 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. ...
5
votes
1answer
107 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 ...
0
votes
1answer
54 views

How does buying back stock affect a company's credit spread?

How does buying back stock affect a company's credit spread? Would it cause it to get smaller? Any clarification would be appreciated.
2
votes
0answers
80 views

Derivation of variance of Zhou (1996) volatility estimator

Does anyone know how to derive the Variance of Bin Zhou's volatility estimator (Theorem 1) in 'High-Frequency Data and Volatility in Foreign-Exchange Rates' (1996) Zhou 1996 Any help would be ...
0
votes
3answers
344 views

What are some of the best quantitative finance websites? [closed]

Not looking to start a debate. Just want to learn more about the field and am looking for some websites with high quality, informative content.
15
votes
5answers
4k views

Free paper trading site with an API

I've got a quanitative trading model I want to test out in the real stock market. Right now, I'm writing some code to pull "live" quotes from yahoo, feed them to my model, and keep track of the ...
3
votes
0answers
178 views

How are quants able to verify whether their calculated prices are any good

This question is related to the discussion on Model Validation Criteria However it appeard to be very high level to me and I would like to go more into detail. Not working at a pricing desk the ...
2
votes
2answers
188 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 ...
6
votes
4answers
599 views

How to cluster ETFs to reduce cardinality for portfolio selection

I'm looking to run portfolio optimizations using various optimization goals - e.g. minimum variance, max diversification etc. My challenge is if I want to do this on ETF's which ones do I pick to run ...
7
votes
2answers
246 views

Extrapolating implied volatilities to small time

Could anyone please direct me to literature or methods for extrapolating the implied volatility surface towards small expiry? I'm looking to price very short time to expiry binary options (e.g. 5 ...
4
votes
3answers
2k views

Arbitraging OANDA continuous rollover vs other brokers' discrete rollover

Most brokers compute rollover once a day (2200 GMT), but OANDA calculates it continuously. I thought I'd cleverly found an arbitrage opportunity, but it turns out OANDA knows about this and ...
3
votes
1answer
94 views

Summary statistic for the average probability of default?

I have the following scenario: Let $X_i$ denote the event where some institution $i$ 'defaults' (don't worry about the exact definition of a default here, it is not relevant to the question at hand). ...
0
votes
0answers
23 views

How to rightfully balance the share of the organization between departments after variable changes?

This is an abstracted version of the problem I'm facing and I have to tell you first, my question might not be precise and or even correct, so I hope you understand and in that case can improve the ...
2
votes
3answers
91 views

how to back out levels from a forecast of differenced series

I have a non-stationary series of bond yields $x_{t}$ that are logged and differenced $$y_{t}\equiv ln\left(x_{t}\right)-ln\left(x_{t-4}\right) $$ From that, I get a series of forecasted values ...
5
votes
1answer
267 views

Bond Convexity Treasuries Futures

I know long duration bonds, on a a single bond basis, exhibit convexity however do treasury futures prices and the 10 yr yield exhibit the same property? Below is a plot of continious ten year ...
4
votes
0answers
93 views

Finding the dynamics of a dividend paying asset under arbitrary numeraire

Assuming I have a dividend paying asset $S$ with dividend process $D$. Now I would like to use the bank account process $B$ as numeraire and determine the dynamics of $S$ under the the corresponding ...
14
votes
5answers
592 views

Model Validation Criteria

Let's say I have a brand new fancy model on some asset class (calibration porcedure included over a set of vanilla options) in which I truly believe I made a step forward comparing to existing ...
1
vote
2answers
152 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 ...
0
votes
1answer
170 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 ...
4
votes
1answer
86 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
2answers
159 views

Estimate weekly, yearly quantities from finite samples

I'd like to estimate from a daily prices serie $P_t$ with $N$ observations a quantity such as the variance of the weekly returns. I will use $\ln\left(\frac{P_{T+5}}{P_T}\right)$ assuming 5 days in a ...
1
vote
1answer
150 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) - ...
2
votes
1answer
501 views

IB API quotes and speed

The title says it all. I trade futures options exclusively and wanted to see if anyone had insight into the quote speedsrobustness coming into the API. I'm using the Excel DDE right now just building ...
1
vote
1answer
182 views

Derivation of the Nelson-Siegel model and proof of arbitrage

1. I am looking for a derivation of the Nelson-Siegel model $y(m)=a+b\left( \frac{1-e^{-\lambda m}}{\lambda m}\right)+c\left( \frac{1-e^{-\lambda m}}{\lambda m} -e^{-\lambda m} \right)$ It is ...
3
votes
1answer
164 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
80 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 ...
0
votes
0answers
110 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 ...
1
vote
1answer
265 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
0answers
49 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 ...
11
votes
3answers
603 views

Optimal execution strategy

Can someone shed some light on optimal ways to execute medium sized orders ~2000 shares in the market? Unfortunately the execution algo I have access to is very dumb. It follows the top-of-book ...
9
votes
2answers
475 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
1answer
256 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 ...
0
votes
1answer
132 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 ...

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