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Volatility in BS model, prices zero or negative

I would like to raise the following question: I need to analyze the historical volatility of some prices. These prices fluctuate approximately between -1 and +2. The issue is that when calculating the ...
ADMGYP's user avatar
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0 answers
66 views

Chart Indicator: Why Does RSI (14, close) Vary with the Particular Time Chart I am Using?

This is probably an easy question for many of you: If I am viewing a Month chart and plot the RSI 14, it tells me the current day's RSI, which I think is the RSI of the last 14 days. But why, if I ...
Chris's user avatar
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2 votes
1 answer
121 views

Piecewise constant Heston model Monte Carlo simulation

I am studying this time dependent Heston model \begin{equation} dS_t=(r-q) dt +\sqrt{V_t} dW_t^1 \\ dV_t=\kappa_t(\theta_t-V_t) dt + \sigma_t dW_t^2 \\ S_0=s_0\\ V_0=v_0\\ ...
User2089's user avatar
1 vote
0 answers
95 views

What is the Time Value of European Options if r=0? [closed]

As I understand it, time value for European options is as follows: What if r=0? Then puts should behave the same as calls, right? Would the time value always be nonnegative or could it be negative?
Alec's user avatar
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1 vote
0 answers
90 views

What does M^L represent over this Sigma?

This is throwing me for a loop. in regards to this passage, does the M^L represent to perform this sum over every "overlapping window" individually? Would this mean "M symbols" are ...
PecanPython's user avatar
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1 answer
94 views

Expected return over what time horizon?

In finance, it is common to price things at their discounted expected value. What time horizon is the market generally thought to consider? Is it a "money-weighted" average of expected ...
justasking's user avatar
2 votes
0 answers
85 views

Best way to measure time to expiration for options?

From my reading it seems that only trading days should be accounted for when calculating time to expiration. On the other hand, I see that VIX is calculated using every day until expiration without ...
Alex's user avatar
  • 81
1 vote
1 answer
122 views

Covariance AR(2) Process [closed]

I am not sure what the formula is for the covariance of an AR(2) process, described by $X_t - \mu = \phi_1(X_{t-1} - \mu) + \phi_2(X_{t-2} -\mu ) + \epsilon_t$ where $\mu$ denoted the process mean ...
user51322's user avatar
0 votes
1 answer
161 views

How to up-sample monthly returns into daily returns?

I know how to down-sample daily returns (large-sample data) to monthly returns (small-sample data) by using rolling windows, which feels like estimating a sub-sample from the population (something ...
develarist's user avatar
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0 votes
1 answer
57 views

How many seconds of Longstaff Schwartz would it take to get machine accuracy?

Roughly speaking, using a standard programming language, a standard computer, and a standard implementation, how many seconds would it take to price an American put option to 10+ digits of accuracy in ...
efwofo's user avatar
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0 votes
1 answer
365 views

How to calculate RSI while considering market close and holidays?

I was trying to calculate RSI over hourly OHLC bars for a symbol (AAPL as an example) and got stock, first how should I handle closing hours? (does it make sense to ignore them all together and assume ...
Separius's user avatar
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1 vote
0 answers
226 views

Prove that the value of a perpetual American put is time-independent

I know that the value of a perpetual American put is time-independent. I think it is very intuitive property and it results from the fact that we do not have any expiry date. My question is: Is it ...
MMM's user avatar
  • 153
2 votes
0 answers
212 views

In Linear Regression for time series stock prediction, instead of cost function, use final portfolio value?

In Linear Regression for time series stock prediction, instead of using the cost function and minimizing the cost function, why can't we use the final portfolio value? Assume we are doing a time ...
Tony Tieger's user avatar
0 votes
1 answer
3k views

Historical beta: Beta estimation for which time horizon?

In practice historical beta is the most used approach for calculating beta. Some one can use i.e. the last 6 month daily returns of stock i and market m to calculcate this. Nevertheless I am ...
Plazi's user avatar
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-1 votes
1 answer
114 views

How to calculate the elapsed time until a stock reach a certain price?

In specific, I will set a certain price to a stock and I want to know how long takes until the historical prices reach this price. Thanks you.
Fernando Ariel Canales's user avatar
1 vote
0 answers
2k views

How to calculate the initial payment of a graduated payment mortgage (GPM). Real estate Mortgage analysis

My professor used this: 12%, monthly-pmt, 30-yr GPM with 4 annual step- ups of 7.5% each, then constant after year 4: $$L=PMT \left[ PV(0.01,12,1) + \frac{1.075}{1.01^{12}}PV(0.01,12,1) + \frac{1....
delmalki's user avatar
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2 votes
1 answer
815 views

Strategies to merge bid, offer and trade price time series into a single price time series?

I'm doing intraday analysis on low volume stocks. There are just a few trades every day, but a whole host of bids and offers. In order to reduce the sparsity of the time series data I'd like to ...
André Christoffer Andersen's user avatar
0 votes
0 answers
388 views

Ideas for speeding up greek calculations

My current calculations using the vollib library averages 0.5 seconds. Is there any way to get it faster? Any tips/best practice notes will be helpful. This is for a scripting language such as python....
foshizzle's user avatar
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0 votes
2 answers
2k views

Estimation of annualized volatility depending on data frequency - exceptions to the general rule?

From my understanding, the annualized standard deviation of daily returns is generally higher than of annualized standard deviation of weekly returns is generally higher than.... monthly...quarterly......
jason's user avatar
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2 votes
1 answer
187 views

Estimating volatility from high frequency price volume data of multiple stocks

I have price volume data of five stocks, sampled at 1 minute interval for six months. The data is quite noisy, lots of missing data and also some weired spikes. Can someone suggest me how to clean ...
Swarup Gupta's user avatar
2 votes
0 answers
86 views

How can the time value portion of an option be higher than 100%?

Here's a screenshot from InteractiveBrokers TWS for the near-the-money put and call on the ES Dec '15 Future: The absolute value of the time value, 9.50, makes sense. But why is the percentage value ...
Gascoyne's user avatar
  • 537
5 votes
1 answer
2k views

Measuring momentum as AR(1) process

I would like to measure the momentum in the price of a stock from the time the market opens until the time I trade each day. I want to use this momentum number in post-trade analysis (regression of ...
joesyc's user avatar
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1 answer
418 views

I have volatility of a portfolio in year 1 and in year 2. How do I calculate the volatility over the total 2-year period?

thanks for looking into this question. See the picture below (better is right-mousebutton - open in new tab). I also have the price and return data of the Stocks if that's needed to calculate the ...
AltTabsen's user avatar
3 votes
2 answers
154 views

I have portfolio volatility for year 1 and for year 2. What is portfolio volatility for year 1 and 2 combined?

Thanks for looking into this question. Portfolio volatility in year 1 = 15%. Portfolio volatility in year 2 = 20%. What is the portfolio volatility over the timespan year 1 and 2 combined? Is it ...
AltTabsen's user avatar
1 vote
2 answers
128 views

How to calculate burnrate?

Wikipedia says Burn rate is a synonymous term for negative cash flow but I neither agree nor believe that is formalized. A company could need turnaround from losses ...
Niklas Rosencrantz's user avatar
0 votes
1 answer
1k 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 are ...
Chris Kline's user avatar
1 vote
1 answer
181 views

How does one use the Johansen cointegration test in a linear time series model?

How does one use the Johansen cointegration test in a linear time series model? Should I only use normalized coeffients for interpretation? Or, once I know that the variables are cointegrated, do I ...
Eyob Yimer's user avatar
7 votes
1 answer
1k views

time in time series database - UTC or local

I strictly store UTC time stamps inside time series files or databases, mainly to allow processing several time series together. Timezone information is kept with each time series file or item, so ...
thomas - discretelogics's user avatar
1 vote
2 answers
305 views

Trade Count Time Series

Is historical information on the counts of trades in single stocks, futures, options etc. available somewhere for download or purchase? If not, which ways can you think of to gather it?
Konsta's user avatar
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