0
votes
0answers
27 views

Spotting humps in implied volatility term structure

Sometimes implied volatility term structure performs a hump shape. How can I measure the frequency of hump appearence? Basically, I have several years of daily data on IV TS, how can I count the ...
2
votes
1answer
40 views

Understanding the necessary and sufficient conditions for rational early exercise of a call option

I am self-studying for an actuarial exam, and I encountered the following in my text: The author states that if $PV_{t, T}\text{(Divs)} < K(1 - e^{-r(T - t)})$, early exercise is not rational. ...
0
votes
2answers
393 views

Yahoo intraday historical download Timestamp

Yahoo offers an API to download historical intraday data, but I am unable to understand the timestamps on the data. The URL request is: ...
1
vote
1answer
135 views

CDO selling or buying credit protection?

I think there is an error in the Meissner text - Correlation Risk Modeling and Management and can't find an errata for this text to verify. On page 19 the foot note reads: Shorting the equity ...
0
votes
0answers
10 views

How to create prospective Bonds for a dynamic portfolio simulation?

The aim is to simulate and to compare different bond portfolio strategies for different interest rate scenarios over ten years. The rebalancing takes place on an annual basis. Hence, e.g. a bond with ...
0
votes
0answers
26 views

dollar neutral ratio vs beta hedged ratio

Hi guys i really hope you can help as i've been pulling out my hair for days on this!! OK so basically i understand the dollar neutral ratio, simply stocka/stockb = dollar neutral ratio. Works great ...
1
vote
2answers
87 views

CDO tranche spread

An increase in default correlation ceteris paribus increases the value of the equity tranche of a CDO. This I get. How then, do I make sense of the statement that as default correlation in the ...
1
vote
0answers
184 views

Formula behind pandas.Options() implied volatility

I noted that implied volatility (IV field) from pandas.Options class is very different (especially, for out of money options) than what I compute with Black-Scholes model. (risk free rate is pulled ...
0
votes
0answers
29 views

Two-period pricing of a European put via riskless portfolio

The current price of a stock is $40. It is known that it either increases or decreases by 12.5% every 3-months over the next 6-month period. The risk-free rate of interest is 8% per annum ...
1
vote
0answers
99 views

Triangular Arbitrage with CFD

I cannot understand how the triangular arbitrage fits with CFD. Assuming there is an arbitrage opportunity: EUR/USD < USD/GBP * GBP/EUR If I do this strategy: 1 Long on EUR/USD at Ask price 1 ...
6
votes
2answers
218 views

What is the preferred GARCH method in practice?

My advance apologies, if this question is too naive or basic. Please be patient with my first experiences with SE; ask for clarification, if needed. I recognize there are many (often-criticized) ...
1
vote
0answers
43 views

Motivation for hedging volatility using VIX ETNs

i wondered what the motivation for professional investors could be to engage in VIX ETNs. Would they even think about trading this kind of product? (they normally should have access to VIX options, ...
1
vote
1answer
74 views

Call and Put Prices Equal at Forward Price - Why?

Consider a European call and put with values $C_t$ and $P_t$, respectively, under the Black-Scholes model. By put-call parity, $$ C_t - P_t = S_t - Ke^{-r(T-t)} $$ for expiration time $T$. Note if ...
3
votes
0answers
41 views

Intraday Value at Risk approximations

We use full valuation of derivatives portfolios using scenarios from historical data. For simple contracts, this is relatively fast. For contracts requiring monte carlo simulation, this becomes ...
0
votes
0answers
35 views

Lambda in RiskMetrics for fixed income

What is the default lambda proposed in RiskMetrics for fixed income?
0
votes
0answers
21 views

Stochastic correlation arbitrage-free replication

I'm interested in possibility of stochastic correlation arbitrage-free replication (something VIX-style, mayby). To my knowledge, no such method exists. Could you provide some intro to the problem: ...
2
votes
0answers
113 views

Behaviour of out of sample efficient frontier

I am comparing the efficient frontier of a set of portfolios that are in and out of sample. The first period is from 1991-01-03 until 1992-10-03 and the second one from 1992-10-03 until 1994-03-03. I ...
2
votes
1answer
50 views

simulation and timestep

Suppose I have a stochastic process i.e. a Vasicek process with parameteres estimated with monthly (RW measure) data and want simulate the process using a daily timestep. Is this a good practice?
1
vote
0answers
16 views

Scalar and vectorial sensitivities

In a recent discussion about the implementation of the calculation of derivative sensitivities, the notion 'scalar' and 'vectorial sensitivities' were used. I am not familiar with this notion and ...
1
vote
1answer
122 views

Currency risk USD>EUR>EGP

Seeking input on hedging risk on USD to Euro with a 3rd component of payroll issued in Egyptian Pounds. We are a US corp invoicing a Germany entity in Euro with massive payroll being paid in Egyptian ...
2
votes
1answer
109 views

Delta of an option derived from the binomial model

I have the following function $V=V(S,t)$, $V^- = V(vS,t+\delta t)$, $V^+ = V(uS, t +\delta t)$. The book proceeds to explain that if we use Taylor series expansion on the above we will confirm that ...
0
votes
0answers
20 views

Selling two uncorrelated OTM options lowers the over all probability of profit?

I am trying to simulate shorting two uncorrelated put options, I wrote a python program and used monte carlo method to simulate the PnL on expiration: gist It seems the probability of profit is ...
0
votes
0answers
23 views

VaR mapping fixed-for-floating swap

I came across a problem that asks what risk factors to map a 5 year semi annual settle fixed-for-floating swap to given it's just before the reset date. Since a FRN prices to par just before the reset ...
0
votes
0answers
24 views

Portfolio value containing stocks and a bond

Consider: 1000 dollars invested in stock portfolio and a zero coupon bond. Investment period: 30 years Yearly retur for the stock portfolio: Rk = eµ+σZk , k is after year k Zk are normally ...
1
vote
3answers
148 views

delta hedging strategy for OTM option

Wondering how you would think about the following thought experiment - suppose you sell an OTM call option and plan to implement a delta hedging strategy whereby if the price of the stock were to ...
3
votes
4answers
123 views

Difficulty understanding put-call parity for currency options

I am self-studying for an actuarial exam on models for financial economics. I am having difficulty thinking about the put-call parity for currency options, specifically how use the notation. Here is ...
0
votes
1answer
49 views

Interest Rate and Price of Assets

I have a very basic question about finance. I know that for an asset, the price is inversly related to the yield to maturity, or the interest rate. However, I have three ways of thinking about this ...
0
votes
5answers
112 views

What can I use to measure of diversification?

I have to come up with a measure of diversification for trade (this can tie in closely to diversification as regards portfolios). Are there any well known measures of portfolio diversification?
5
votes
2answers
224 views

Intuitive explanation of stochastic portfolio theory

Fernholz and Karatzas have published various papers about so called stochastic portfolio theory. Basically they say that the return to be expected from a portfolio on the long run is rather the ...
0
votes
0answers
16 views

Where can I find information about the “Target Portfolio Pattern”?

It might not be known as a "pattern" but basically it's a way of (low-frequency) order management where a 'target portfolio' is built using notional amounts which is then compared against an 'actual ...
2
votes
1answer
62 views

Testing a Monte Carlo simulation independently

I'm building a Monte Carlo option pricing model in Python/SciPy. I want to test the results produced by the Python code by building the model independently in Excel and then comparing the results. Off ...
0
votes
1answer
72 views

Duration vs. Convexity Contradiction

A lower coupon bond exhibits higher duration, which means higher price volatility with changing YTM. A lower coupon bond also exhibits higher convexity. However, with higher convexity, bond prices ...
0
votes
0answers
33 views

Integrated Volatility in Diffusion Processes vs Volatility of Discrete Processes

In a Diffusion Process of the form $$dX_t = \mu(X_t)dt + \sigma(X_t)dW_t $$ the Integrated Volatility is defined as $$IV_t = \int_t^{t+1} \sigma^2(X_s)ds.$$ In this case, the Integrated Volatilty ...
1
vote
0answers
58 views

“Spot rate is not observable” meaning

In Bruno Remillard's text, "Statistical Methods for Financial Engineering," he states the following on p 148 after giving the general form of a bond price $P(t,T)$ under Vasicek's model: Note that ...
1
vote
2answers
103 views

Smoothing factor of Exponential Moving Average

I'm trying to implement an Exponential Moving Average indicator, but I'm sort of stuck on the smoothing factor. What I've come up with: $$\frac{1}{N}\sum\limits_{k=0}^N \alpha^{k} P_k$$ Where N is ...
0
votes
0answers
28 views

Factors to Include in a Model to Predict Gross Profitability Persistence

I am trying to build a logistic model that predicts gross profitability persistence. Specifically at the start of every July, I assign stocks to one of five gross profitability groups (5 being the ...
1
vote
1answer
43 views

Listed companies on NASDAQ

Where can I find a list of listed companies on NASDAQ from 2000 to 2014?
1
vote
1answer
115 views

Difference between DV01 and IR DV01

What is the difference between DV01 and IR DV01? As far as I can see DV01 is at point on the yield curve and IR DV01 represents a parallel shift of the entire yield curve? My understanding is still ...
0
votes
3answers
180 views
0
votes
1answer
60 views

Basic Metrics for Option Trading Limits

Imagine a trading house that trades options in a modest way, and is looking for simple but effective metrics over which trading option limits will be set. Some random thoughts: 1) VaR is not ideal, ...
0
votes
0answers
21 views

High Beta 'Filter' for Minimum Variance Portfolios (MVP's) - Lower Risk/Improve Return?

I am busy conducting research in South Africa on the JSE. I am investigating several risk based portfolios with an emphasis on MVP/min vol. My process is as follows: Although the JSE has around 400 ...
2
votes
1answer
116 views

Relationship between risk-neutral probability and subjective probability

I recently came across a Paper by a paper of Rubinstein and Jackwerth (1997): http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.441.5214&rep=rep1&type=pdf where they assume that you ...
0
votes
1answer
99 views

Does the fact that volatility is not constant imply existence of skew?

I had a question regarding the existence of the volatility skew. I've tried researching it a fair bit and I come across a few different explanations: 1. Market participants like buying downside puts ...
0
votes
1answer
54 views

Least-Square Monte Carlo in multiple variable

The paper by Longstaff-Schwatz on Least Square Monte Carlo offers very little proof. The only proof they have given assumed the option can only be exercised at two different time point and the price ...
1
vote
0answers
86 views

Determining the investment strategy

I have the following problem: Consider the 5 year investment strategy and given the yearly portfolio returns $S_{t+1}/S_t$ and dividends $D_{t+1}$ paid at $t+1$ which are modeled as: ...
1
vote
0answers
29 views

Construction of bond portfolio represented by a CDS-Index

Markit publishes investable basket CDS indices. These are indices intended to track the credit risk of a basket of issuers (e.g. in the case of iTraxx Europe Series 24 these are 125 names) in an ...
0
votes
1answer
122 views

Calculating expected shortfall

I'm trying to calculate the expected shortfall for the below scenario. I don't understand why the 1.04% probability of 0 bonds defaulting is used as a weight when calculating ES, since the binomial ...
0
votes
1answer
99 views

How to get list of large intraday movers for that day?

Is there a source (preferably free :) that provides a list of large intraday (versus pre market) movers for the day you look? I don't mind getting the list on market close. I don't need historical ...
3
votes
1answer
83 views

What is mathematically rigorous way to estimate floating swap cash flow in the future?

In vanilla swap, the FL payments is fixed on one date and paid on the next reset date. So the next payment is known. However, the payment after that is not known. What would be the best estimate of ...
0
votes
0answers
39 views

Hwo to create a benchmark for a portfolio?

How does one create a benchmark for a portfolio? I realize if I were using strategic asset allocation, I could just look at the already existing benchmarks associated with the various asset classes ...

15 30 50 per page