3
votes
1answer
94 views

What are some markets that don't have volatility smiles and why don't they?

I have read that volatility smiles didn't show up for equity options until 1987. Can some one give me an example(s) of what markets now still don't have volatility smiles and what an explanation for ...
1
vote
1answer
33 views

Fast to compute, yet plausible risk attribution measures

I am looking for a fast to compute, yet plausible risk attribution measure based on the risk measure used compute overall risk. To be more specific, assume that my risk measure is VaR of a portfolio. ...
1
vote
1answer
73 views

Static and Dynamic Hedging of Vol/Var Swaps

Why can a variance swap be perfectly statically hedged whereas a volatility swap requires dynamic hedging? Possible reference request to the corresponding literature.
5
votes
2answers
160 views

How to calculate Implied Volatility for out-of-the-money options?

I'm trying to calculate the implied volatility for out-of-the-money options, and to a lesser extent, in-the-money options. Most of the literature estimations I could find for implied volatility were ...
0
votes
0answers
46 views

The Merton's model

According to Merton's model we can calculate probability of default by this formula: $$P(V_T < B) = N \big[ \frac{\ln\frac{B}{V_0} - (\mu-\frac{1}{2}\cdot\sigma^2)T}{\sigma\sqrt{T}} \big]$$ I have ...
1
vote
0answers
26 views

What is the difference between a three month return and a quarterly return?

I am looking at VGENX, and this product has first-quarter and three-month returns of 7.8% and 20.3%, respectively, according to zacks.com. I take it as the three month return is calculated taking into ...
1
vote
0answers
24 views

A question about spot rate forward rate and swap rate [closed]

A term structure is given as follows. The market convention is compound interest, that is, the present value of one unit at time T is...
1
vote
2answers
65 views

hedge a USD index into EUR

Say I have the daily index levels for the S&P. It is then very simple to calculate the daily returns. I however want to calculate the hedged returns into Euros. I have the daily exchange rates ...
1
vote
1answer
49 views

Regressing using Fama-French portfolios with small amount of stocks

I'm doing some research for my thesis and I was wondering if it is possible to only use monthly stock price data for 22 stocks and construct Fama-French portfolios out of them and then regress? What ...
3
votes
1answer
74 views

Deriving $u$ and $d$ coefficients using binomial tree approach

From Hull's book when deriving coefficients of up and down movements, $u$ and $d$, of a stock price using binomial tree approach, at some point we get the following equation: $$e^{\mu\Delta t}(u+d) - ...
1
vote
0answers
18 views

Using Put Volatilities to Estimate Firm Leverage/Credit Risk

This paper by Hull, Nelken and White uses implied volatilities in structural credit risk models to back out a market-implied leverage ratio. CreditGrades has a similar implementation using equity ...
1
vote
1answer
32 views

American option - Upper bound

I have computed a lower bound for an american option through longstaff and schwartz's algorithm. Now I have to compute the upper bound as andersen and broadie does in their article. Can anybody help ...
1
vote
1answer
34 views

Who/What is a promoter of a company?

As Investopedia defines it: A promoter is an individual or company that, for a fee, helps raise money for some type of investment activity. Most often, promoters raise money for a company through ...
1
vote
1answer
122 views

How to calculate bond yield in QuantLib - Python

I want to calculate yield of bond having market price and coupons. I try to replicate C++ from (https://mhittesdorf.wordpress.com/2013/03/03/introducing-quantlib-internal-rate-of-return/) in Python ...
1
vote
1answer
69 views

Arbitrage opportunity in discrete time

Say we have the following binary option $B$ on asset $S$ with strike K and expiration time T, assume also that the following relation holds at time $0$: $B > N*C(K,T)-N*C(K+1/N,T)$ Where $N$ is ...
1
vote
0answers
118 views

Trouble verifying roll rate model

I found this paper on roll rate analysis via a google search. I would post a link, but every page is stamped with "CONFIDENTIAL" at the bottom (humorous since it is easily found). In a nut-shell, ...
0
votes
1answer
72 views

Training data for Black Scholes

What sources of data suitable for training approximations to Black-Scholes are freely available to academics? My understanding is that the parameters to Black-Scholes are: share price strike price ...
3
votes
3answers
153 views

Real-time Tick Data API for the Italian Stock Market

Hello community. I am looking for a service that is able to provide real-time tick data (time&sales) for the contracts traded in the Italian Stock Market (Borsa Italiana). The service should ...
0
votes
1answer
57 views

When and how to use RNN for stock analysis or trading

I am learning about neural network and created some small networks in feed forwarding network myself. I was curious about Recurrent Neural Networks (RNN) and read some papers about RNN in trading. The ...
1
vote
1answer
271 views

Geometric means, standard deviation, and sharpe ratios

I have 3 related questions: a) I've seen formulas for GM and GS which eithier do, or do not, involve taking the exponent. Which is right? i.e. for GM I've seen both mean(ln(1+rt)) and ...
4
votes
1answer
89 views

Where to find daily European value factor data?

Kenneth R. French website only provides monthly European factor data. I want to track this data daily. Here's what I tried: MSCI Europe Barra Value Index - it's long short 130/30, not 100/100. ...
2
votes
2answers
69 views

Monte Carlo Methods for Pricing Derivatives

can someone please suggest a good book on Monte Carlo Simulation for Pricing Derivatives? Don't want a book which is too complicated like a PhD level. A Masters level should be good. Thanks a lot in ...
0
votes
1answer
37 views

Timing of S&P 500 Component Changes - Pre or Post Market?

When S&P 500 has a component change is the change made before market open or after the close. For example on March 3rd announement by S&P that UDR replacing GMCR after close of trading on ...
4
votes
0answers
58 views

How do I calculate the present value of a credit default swap?

I am paid 20 million every time a bond drops to a new low over a 120 month period. I need to know how to find the present value of such an arrangement if there is a continuously compound interest of 5 ...
3
votes
1answer
73 views

Calibration of Heston model

I would like to calibrate the Heston model and I am wondering which are the most common approaches used in the literature. Any suggestions (references from the main stream literature, notes or ...
0
votes
0answers
47 views

Package for multivariate Garch Vech model for R?

I`m new to programming and searching a package for R which inherents the estimation for a Vech Garch(1,1). This is a multivariate Garch model which forms the residuals and the covariance matrix from a ...
0
votes
1answer
33 views

Closed-form solution to optimal single assset position sizing with predicted returns

Say that I observe a predictor $w_t \sim N(0,\sigma_1)$ for the returns in a single asset over the next time interval: $$ r_t = \alpha w_{t-1} + z_t $$ where $z_t \sim N(0,\sigma_2)$ is unobserved ...
1
vote
1answer
36 views

Backtesting and dividend adjustments

I am backtesting a number of trading strategies using a feed of unadjusted data from Factset. Before I run the backtest my routines adjust the data for splits and for special dividends. One question ...
2
votes
3answers
79 views

Distribution of pay-off of an exotic option

Can any assumptions be made about the pay-off of an exotic option? For example, might we say the distribution of the pay-off a vanilla option would be Normal? I have built a valuation tool that ...
0
votes
1answer
36 views

long fra and a short ed future with same fixing dates, is convexivity negative or positive?

If you are long a FRA (forward rate agreement) and short a ED (Eurodollars) future with the same fixing dates, do you have positive convexity or negative convexity? Why? According to the following ...
0
votes
1answer
53 views

Calculating PCA hedge ratio for 3-leg spread

I'm wondering how can I find PCA hedge ratio for a 3-leg spread? I've taken the simple steps laid out in here. I've taken some treasury futures data for 2yr,5yr,10yr and ran the PCA. The first ...
0
votes
1answer
23 views

Which rate of return to use in portfolio weight estimation?

I am learning the basics of portfolio management. I am confused about different ways to calculate rate of returns mentioned in the text investment and portfolio analysis. There are three methods to ...
2
votes
0answers
44 views

Capital increase: which stock price to use as input to Black-Scholes formula?

For an exercise we have to calculate the theoretical value of a scrip / preferential right on its issue day (23 April) in the context of a capital increase. The scrips are issued on 23 April. The ...
0
votes
1answer
43 views

question regarding carry & roll of a bond

I have a simple (and might be a dumb) question regarding the calculation of a bond's carry. If someone doesn't take into account cost of financing (e.g. the repo rate) then the bond's approximate ...
0
votes
1answer
44 views

How to create time series with lagged in R [closed]

Would anyone else advise me, how to create time series with lagged in R. I would the result is the difference with lagged, there is a function Delt() but the result is the percentage change. Please ...
1
vote
0answers
13 views

How we can use adjusted price in combination with price limit in a stock market?

How we can use adjusted price in combination with price limit in stock market? suppose that we have a price limit in a stock market. For example if yesterday last price is ...
2
votes
2answers
47 views

What does it mean to 'receive outright'?

What does the following statement mean: "after accounting for levels of market volatility, we favor receiving outright in 6-month forward-starting 2-year swaps."? Specifically, what does "receiving ...
1
vote
1answer
57 views

What causes discontinuities with stock prices

With reference to the figure above, why is it that the price at which the stock closed at on monday not equal to the open price on tuesday? Is this discontinuity due to an adjustment in the price ...
1
vote
1answer
36 views

Old CBOE SPX options data: listing and expdate issue

I can't figure out the logic behind SPX option data for 2008-2009 years. First, all traditional SPX options have exp_date on the third Saturday of each month. How can it be? Why not Friday? Second, ...
3
votes
1answer
65 views

How to find volatility of Asset given volatility of Stock in Merton model?

I encounter a problem in one of my project to find the 1 year, 2 year and 3 year Asset volatility. We are given 2015 Bell Canada's financial report and a software to do this. The financial report can ...
1
vote
0answers
30 views

Performance measure

Can anyone give some intuition behind the relative performance measure that is a percentile raking of trading activity. It indicates the percentage of total activity the investor outperformed the ...
-1
votes
1answer
34 views

How does a small recovery in oil prices equate to risk appetite? [closed]

I was reading an article yesterday that the Aussie/Dollar pair fell due to a sharp fall in oil prices (38.20 down to 36.70) which the market sentiment considers as "Risk off", and as oil prices ...
2
votes
1answer
50 views

Trinomial model converges to Black-Scholes weakly

Consider risk-neutral trinomial model with $N$ periods presented by $$S_{(k+1)\delta}H_{k+1}, \ \ \text{for} \ \ k=0,\ldots,N-1$$ where $\delta:=\frac{T}{N}$ and $\{H_k\}_{1}^{N}$ is a sequence ...
0
votes
1answer
58 views

How to estimate parameters for 2 correlated Ornstein-Uhlenbeck processes with maximum likelihood?

I would like to use maximum likelihood to estimate the parameters of two correlated Ornstein-Uhlenbeck processes from empirical data. Do you have any good references for this? If you have any hints as ...
2
votes
2answers
126 views

How to price a stock under Q and stochastic interest rates?

I am interested in pricing a stock under $\mathbb{Q}$ when I assume that $$dS(t) = \mu(S(t))dt + \sigma(S(t))dW(t)$$ where $W(t)$ is a Wiener process under $\mathbb{P}$ and $$dr(t) = a(b-r(t))dt ...
3
votes
1answer
149 views

Simple question on jump-diffusion

In the textbook by Shreve in sec. 11.7.2 a jump-diffusion process is introduced. More precisely $$ dS_t = \alpha\,S_t\,dt+\sigma\,S_t\,dW_t+S_{t-}\,d\left(Q_t-\beta\,\lambda\,t\right)\quad (1) $$ ...
1
vote
0answers
21 views

Methodologies behind shocking a composite index instrument, what assumption distinguishes these?

Suppose I have a composite index (rebalancing or non-rebalancing) that at present time has some base value $B_{\text{base}}$ in some base economy. I am in the process of shocking the economy on which ...
1
vote
3answers
40 views

How to compute the foreign exchange volatility within a portfolio

Suppose I have a portfolio of 5 assets. Assets 1 and 2 have foreign exchange exposures and therefore foreign exchange volatility. How can I calculate the marginal contribution to the total portfolio ...
1
vote
0answers
29 views

How can I discover dark pool orders in an order book?

I'm learning order flow. I would like to differentiate between aggregated dark pool volume and aggregated algo trading volume. Is there a way to tell orders coming from a dark pool from algo orders? ...
2
votes
0answers
26 views

Heston Model Maximum Return Distribution

What is the joint probability distribution of the maximum of the return between time $0$ and $t$ and the return at $t$, for the Heston model, when the return drift is $0$ and the correlation between ...

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