0
votes
1answer
144 views

How to derive equivalent martingale measure using Ito's Lemma

Can someone explain how to get equation 27.14 below? I understand the first usage of Ito's Lemma to get $d(\ln f-\ln g)$ but I do not understand how to use Ito's Lemma to go from $d(\ln \frac{f}{g})$ ...
0
votes
1answer
186 views

Derive instantaneous forward rate

Given that $P(0,T)=e^{-RT}$, how does one get the formula for the instantaneous forward rate below? Specifically, how does one get to the partial derivative in the formula? I'm sure the answer is ...
2
votes
3answers
776 views

Implied Probability of Default from Bond Prices

I am trying to build out a probability of default model for a bond. Given the current price of a bond and the current risk free rate, I am trying to calculate the probability of default. So assume a ...
2
votes
1answer
131 views

Replicating the short part of a long-short trade using inverse ETFs

I devised a pair trading strategy going long XXX and short B*YYY. B is the quantity of shares of YYY I need to short. The problem is I can’t go short on YYY, but there is an inverse ETF for YYY ...
0
votes
1answer
76 views

Making portfolios better than others for a 16 week portfolio game? [closed]

I'm going to participate in a game of making portfolios. The objective of the game is to make the portfolio with the bigger ROI over 16 weeks. Over each week every player can see the ROI of each ...
2
votes
4answers
310 views

How to model hedge fund returns?

I know that a lot of work has been done characterizing the first four moments of monthly hedge fund returns across a variety of fund types and strategies, and that work indicates that the higher ...
2
votes
1answer
57 views

The role of micro credit in finance

The concept of micro credit has been around for a while. Recall that Muhammad Yunus together with Grameen Bank were awarded the Nobel price in this context. I don't have references at hand but I ...
1
vote
0answers
53 views

Effect of kernel smoothing on correlation

Instead of deriving correlation matrix on standardized returns (z scores) would it not be more accurate to kernel smooth the cdf and then norminv the cdf values for the return z score and then ...
4
votes
3answers
325 views

Difference betweem martingale property and adapted filteration

What is the difference between a random process that is adapted to a filteration and one that had the martingale property. It seems the two notions are quite similar and would be helpful to construct ...
2
votes
1answer
3k views

What is the equation for Garman-Klass volatility?

I want to calculate realized/historical volatility for the underlying products of various options using the Garman-Klass estimator, but I can't see to find an equation, although I know it involves ...
3
votes
1answer
225 views

How to interpret negative asset volatility numerical results in Merton model?

I am currently working on my thesis where I discuss the Merton default probability model. I have a huge sample of US firms for the period 1990-2010. I use both numerical and complex iterative approach ...
2
votes
1answer
159 views

Is there an easily implementable alternative to lognormal growth (something with fatter tails)?

I have a toy model in Excel for the growth of a investment portfolio. I assume iid lognormal annual growth factors: =EXP(mu+sigma*NORM.S.INV(RAND())) where mu and ...
1
vote
2answers
109 views

Calculate alpha (CAPM) in “cross country-portfolio”

Assume I wanted to compute the alpha (in CAPM sense, i.e. $r_i - r_f = \alpha_i + \beta_i(r_m - r_f) + \epsilon_i$) of a stock. So I take, say, monthly returns of a stock $i$ for 1 year. Subtract the ...
0
votes
1answer
293 views

Forex trades: what time zone are trade and value dates specified in?

When receiving a value date of D from the counterparty for a trade in NZD/USD, is D assumed to be date D in Auckland date D in New York date D in UTC date D in some arbitrary time zone ? There ...
1
vote
1answer
1k views

What is Prompt Date Structure?

In LME website Prompt Date Structure is explained as this. Why there are prompt dates? LME trading calendar isn't universal to all other calanedars found in the market. So how do "Non-tradable dates ...
2
votes
5answers
130 views

What is the motivation for index benchmark?

I know that many funds have local index (i.e., SPX in US) as their benchmark. Why are investors interested in such kind of returns instead of absolute returns. From the first glance I'd think one ...
0
votes
2answers
246 views

Why does Futures contract credit and debit a position daily, if it has “locked” the price?

I thought I had understood futures contract. But it seems the daily settlements betray my understanding. Futures contract provides price & product safety to involved two parties. E.g. Wheat ...
1
vote
0answers
69 views

Order 1.5 strong SDE integration methods for systems with diagonal additive noise

I'm looking into simple-to-implement and efficient order 1.5 strong SDE integration schemes for my system. My noise is diagonal and additive (possibly time-varying). Thus methods designed for either ...
11
votes
2answers
612 views

Relationship between Large Cap and Small Cap Volatility

Relative value of large cap volatility. We all track the VIX as a measure of volatility, but we often forget that the VIX is volatility indicator for the large cap index within the SP500. We can ...
0
votes
2answers
135 views

Why is that maximizing stock value, under uncertainty, is a better option than maximizing profits?

I've been trying to access the papers that state that kind of problem, but most of them need payment for access and I am on a student budget. I know that maximizing profits=maximizing stock value in ...
1
vote
2answers
2k views

Forex brokers with free API compatible with Node.js

I have a Forex trading signal generator written in Node.js and now I am looking for a Forex broker with a free Node.js compatible API. The requirements are simple: be able to send new trade orders ...
1
vote
1answer
104 views

Where can I buy historic raw recording of an exchange

Say I want to buy historically recorded raw feed from an European exchange (say LSE). Is there a vendor that would sell me this data ? EDIT: By raw feed I mean the order by order feed (or equivalent) ...
2
votes
0answers
96 views

rugarch and rolling estimation

I use Rugarch for a long time in order to calibrate GARCH models on FX rates time series and perform simulations. I am trying to understand the ugarchroll method. However even if I can find plenty of ...
2
votes
1answer
52 views

Hansen-Jagannathan bounds derivation: last step is not clear

Pennachi's "Asset Pricing" chapter 4 derives: $$ \frac{E[R_{i}-R_{f}]}{\sigma_{R_{i}}}=-\rho_{m_{01},R_{i}}\frac{\sigma_{m_{01}}}{E[m_{01}]} $$ Then, he states that the fact that $-1\leq ...
2
votes
2answers
2k views

Calculating Bollinger Band Correctly

My bollinger band comes out like the below, which doesn't seem right. Any idea what is wrong with my code for calculating upper and lower bollinber bands? I obtained my data from here ...
6
votes
4answers
4k views

Are Futures exactly Delta One?

Delta of Future is exactly one I thought. This post here, says otherwise. However, quoting John Hull again: $$f = \text{Value of Future contract} = S_{t=0} - K \exp(-rT)$$ where $S$ it the spot ...
1
vote
0answers
169 views

Pricing binary options with kernel density estimation

Suppose I have a large enough set of prices of an asset, from which I can extract the following function: $f:T\to\mathcal{D}$, where $T$ is a fixed finite set of time intervals (say, 1 minute, 2 ...
3
votes
2answers
626 views

How do insurance companies use interest-rate swaps?

I have heard that insurance companies make use of swaps and am just trying to get some clarity on that: An insurance company (assume life insurance) has a fixed obligation to pay in the distant ...
0
votes
1answer
149 views

Where can I find historical data for volatility estimation?

I'm trying to estimate volatility following Shreve book, so I need observations of $f(t_j,t_j+\tau_k)$ and $f(t_j+\delta,t_j+\tau_k)$, where $t_J<t_{J-1}<\dots<0$ and $\tau_k$ are relative ...
3
votes
2answers
401 views

How to price long dated options most efficiently?

hi question is how to price a long dated option most computationally efficiently? With European, you use Black Shoals (yes assumption constant vol/rates...etc) but it's a simple algebraic formula. ...
1
vote
1answer
103 views

Need weighted global stock index data (components / weights)

To implement a portfolio generator, I require a set of suitable stocks. Ideally it would use the components of the MSCI World Index and use the index weights for the probability of picking a stock ...
1
vote
1answer
60 views

In a mis-matched trade who profits?

I am building a service similar to the BullionVault where users can buy and sell bullion. They will be placing their Buy and Sell orders on the service. Matched orders will get executed. My question ...
2
votes
1answer
283 views

Square-root-of-time and autocorrelation

My question is that when we have autocorrelation in daily volatilities can we scale daily volatility to annual basis using square-root-of-time rule? Does it breach the main assumption of the rule ...
1
vote
2answers
2k views

Is there a formula for future value of a growing annuity with yearly payment growth and monthly payments?

My example is saving for college: assume a start of 0 balance deposits of 200 made monthly, every year they increase by (g) 2% to account for salary increases, first deposit made at the end of the ...
1
vote
1answer
86 views

Yield to Maturity

For a bond with market price $P_t$ and fixed payments $c_n$, I'm told the yield to maturity is given by the solution $Y$ to the equation $P_t=\sum_{n=1}^N c_n e^{-Y(t_n-t)}$. Firstly, I'm not great ...
3
votes
2answers
1k views

Why is “full” Yield Curve (term structure of interest rates) 3 component based?

I am trying to understand bond-valuation and construction of yield curve. I don't have any exposure to bootstrapping or what-so-ever as of now. So it's appreciated to have an example but not too ...
1
vote
1answer
216 views

High correlation will help detect spurious regression over cointegration?

I'm analyzing two financial time series with Johansen method. A high Correlation coefficient using the Pearson method will help me to detect spurious cointegration models to avoid? If this is not ...
3
votes
3answers
701 views

Please advise on the choice of an automated trading framework

I'd like to start automating my trading strategies. I'm not looking for a fast and easy solution, therefore the programming language is not important for me, I am ready to spend an extra year to ...
7
votes
7answers
713 views

Are the sin, cos, tan functions used in some financial calculations?

I ask because those functions are on the TI BA II Plus financial calculator.
0
votes
0answers
485 views

Convexity of Portfolio Containing Eurodollar Future and Forward Rate Agreement

Assume an individual is a buyer, i.e., long, of one Forward Rate Agreement and a seller, i.e., short, of one Eurodollar Futures contract. Does the collective portfolio have positive or negative ...
4
votes
1answer
182 views

Why does regression capture differences in volatility?

I read the following statement in the book python for data analysis, chapter 11, and I was wondering if someone could give me intuition about why regression has this effect? The purpose of the ...
0
votes
1answer
88 views

Adjusting open, highs and lows for past monthly stock prices?

I'm looking into modelling monthly stock prices and want to start off by using data from Yahoo Finance. I know that the closing prices given there are adjusted for stock splits and dividends, but ...
0
votes
0answers
65 views

Sketching payoff diagrams- Straddle and Butterfly (when t tends to 0)

I want to sketch a straddle and a butterfly payoff diagram when t tends to 0. I have searched and have been able to sketch both a butterfly and straddle diagram but fail to proceed when t tends to 0. ...
1
vote
3answers
2k views

Calculate correlation between two sub portfolios and the combined portfolio

I have two sub portfolios (lets call them portfolio a & portfolio b - a portfolio is just a vector of weights that sum to 1) that combine to create a total portfolio. I also have a 2 x 2 ...
1
vote
1answer
455 views

Where can I find implementations of the time-varying copula (BBX) in Matlab or R?

I want to construct some time-varying BBX copulas, however, I found that patron's package does not contain time-varying BBX copula. Anybody know where I can download them?
1
vote
0answers
728 views

Calculating the VaR from a GARCH(1,1) with Student-t innovations

I'm self-studying several questions on Ruey S. Tsay's teaching page. I'm experiencing some difficulty getting the correct answer for final exam 2013 Problem B Question 3. Given a Student-t GARCH ...
0
votes
0answers
29 views

Nominative financial datas

For a study I am looking for financial datas about trades in double auction markets. It would typically be transaction history containing the name of the participant (buyers and sellers) and the ...
3
votes
2answers
3k views

What is the price pressure?

What is the definition of price pressure and what does it imply? In a number of paper I read that the price pressure can influence the portfolio returns; can you explain why and in which way it can ...
1
vote
3answers
199 views

What does “true”volatility mean in volatility comparison?

In Sinclair's book, wee need to compare standard deviation with "true volatility" to check the power of the model suggested, close -to-cloce, or Parkinson formula, etc. What do we mean here by "true" ...
3
votes
1answer
195 views

Valuation of Cox-Ross-Rubinstein Model

We have a Cox-Ross-Rubinstein model with parameters $u$ ("up"), $d$ ("down") , $r$ (interest rate) and $q$ (equivalent martingale probability) $(q=(1+r-d)(u-d)^{-1})$ . We have a contingent claim with ...

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