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[2022] SMU - QF633 C++ for Financial Engineering - Course Project: Cryptocurrency Tick Data

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SingaporeSMUQF633C++ for Financial EngineeringCyrptocurrency Tick DataC++

QF633 Course Project

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We would like to consume tick data from a cryptocurrency option exchange (Deribit) to build our choice of volatility market representation updated at a given time frequency. CourseNana.COM

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The historical raw tick data is provided as csv files, and each tick (one row in the csv file) contains the below fields: CourseNana.COM


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Figure 1: Deribit option tick data format CourseNana.COM

The fields relevant to us are: CourseNana.COM

• contractName: the symbol of the exchange traded contract: Underlying_ExpiryDate_Strike_OptionTYpe CourseNana.COM

• time: timestamp of the update, in UTC. CourseNana.COM

• msgType: update or snap CourseNana.COM

– update: a best level update of a particular instrument, an update message should be applied on top of the currently maintained snapshot CourseNana.COM

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– snap: a snapshot of the whole market, when a snapshot is received, the locally maintained snapshot can be disgarded to avoid error accumulation. When we process a historical data csv file, we need to disgard all updates before the first snapshot. CourseNana.COM

• bestBid: best bid price in unit of BTC (bitcoin) CourseNana.COM

• bestBidAmount: best bid notional, in unit of BTC. CourseNana.COM

• bestBidIV: implied volatility from best bid price. CourseNana.COM

• markPrice: we can consider this as the mid price. CourseNana.COM

• markIV: implied volatility from the mark price. CourseNana.COM

• underlyingIndex: the underlying futures contract name. Some underlying index starts with ’SYN.’, this indicate that the underlying Futures contract is not listed, so the underlying CourseNana.COM

• underlyingPrice: the price underlying futures contract. CourseNana.COM

• lasstPrice: last transaction price of the contract. CourseNana.COM

• open_interest: current open interest of the instrument, in unit of BTC. CourseNana.COM

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We can ignore the rest of the fields in this project. CourseNana.COM

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Step 1. Read input events from CSV CourseNana.COM

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The first step is to complete the CsvFeeder class, that consumes the tick event data. CourseNana.COM

The CsvFeeder class needs to be constructed using the below constructor CourseNana.COM

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CsvFeeder::CsvFeeder(const std::string ticker_filename, CourseNana.COM

FeedListener feed_listener, CourseNana.COM

std::chrono::minutes interval, CourseNana.COM

TimerListener timer_listener) CourseNana.COM

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• ticker_filename: the filename of the input csv file, CourseNana.COM

• feed_listener: the function to be called inside Step(), after an update message is loaded, CourseNana.COM

• interval: the time interval to call timer_listener, CourseNana.COM

• timer_listener: the function to be called at a given frequency. CourseNana.COM

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FeedListener and TimerListener are our own types defined as follows: CourseNana.COM

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using FeedListener = std::function<void(const Msg& msg)>; CourseNana.COM

using TimerListener = std::function<void(uint64_t ms_now)>; CourseNana.COM

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The class Msg is given in Msg.h. You may modify or extend it. Your main job for step 1 is CourseNana.COM

to complete the step-wise processing functions: CourseNana.COM

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bool ReadNextMsg ( std::ifstream& file , Msg& msg) { CourseNana.COM

i f (file. eof ( ) ) { CourseNana.COM

return false ; CourseNana.COM

} CourseNana.COM

return true; CourseNana.COM

} CourseNana.COM

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Note that multiple rows in the csv files that has exactly the same timestamp is considered as one Msg. ReadNextMsg() should load a complete Msg until timestamp changes. It is possible that timestamp is not in strictly increasing order. But we do not need to make special treatment for this. CourseNana.COM

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Note that the time stamp is parsed to unix epoch time (https://en.wikipedia.org/wiki/Unix_time) in millisecond precision, which is represented as a uint64_t. You can use the function TimeToUnixMS implemented in CsvFeeder.cpp to parse the input string to the Unix epoch timestamp.  CourseNana.COM


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(https://www.cplusplus.com/reference/istream/istream/getline/) to read a line from the file, and parse the line in your code by separating each field with ”,”. We have also added a constructor to datetime_t that takes a unix epoch timestamp in second (note that the unix is in second, so if you use it with millisecond timestamp, you need to divide it by 1000) to construct our own type datetime_t. CourseNana.COM


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Read step1.cpp, which contains a dummy FeedListener that prints basic information of the Msg given, and TimerListener that simply prints the timestamp. Build step1 using make step1 under the project folder. The run it: bin/step1.out <test_csv_filename>. CourseNana.COM

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Without the implementation of ReadNextMsg function, the code will compile but will not function properly. Once ReadNextMsg is correctly implemented, step1 should process the input csv file and print out basic information of the input events. CourseNana.COM

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Step 2: Maintain the latest market snapshot CourseNana.COM

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VolSurfBuilder keeps track of the latest snapshot of the option market using the member variable std::map<std::string, TickData> currentSurfaceRaw — the latest tick data of all option contracts in the market. Implement the below two functions in CourseNana.COM

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VolSurfBuilder.h: CourseNana.COM

template <class Smile> CourseNana.COM

void VolSur fBui lder<Smile >:: Process ( const Msg& msg) f CourseNana.COM

i f (msg. isSnap ) { CourseNana.COM

/ / discard currently maintained market snapshot , and construct a new copy based on the input Msg CourseNana.COM

} else { CourseNana.COM

/ / update the c u r r e n t l y maintained market snapshot
}
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} CourseNana.COM

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template <class Smile> CourseNana.COM

void VolSurfBuilder<Smile >:: PrintInfo ( ) { CourseNana.COM

/ / TODO: you may print out information about VolSurfBui lder ’ s current Snapshot to test CourseNana.COM

} CourseNana.COM

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Process is called by FeedListener in step2.cpp. Every time VolSurfBuilder takes a Msg,, it checks if it is a snapshot or an update. If the message is a snapshot, it will discard the previously maintained market, to avoid error accumulation. If the message is an update, it will just apply the updatees to the currently maintained market snapshot. CourseNana.COM

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PrintInfo is called by TimerListener in step2.cpp. It should pprint out the information of the market snapshot at the given interval. Test step2.cpp with make step2 and bin/step2.out <test_csv_filename>. CourseNana.COM

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Note: the class VolSurfBuilder is a template class that could take different smile models. CourseNana.COM

Step 3: Fit smile at regular time interval, and stream the marks and fitting error to output files CourseNana.COM

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The raw snapshot of the market contains strike to price/implied volatility pairs. We want to fit our own volatility smile models to the raw market data so it is easier for pricing and signal research. The smile model we want to use here is cubic spline, implemented as CubicSmile (see lecture notes for more details of this smile model). The parameters of the model will be ATMVOL, BF25, RR25, BF10, and RR10 for each expiry date. CourseNana.COM

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Complete the FitSmiles function in VolSurfBuilder.h. It groups the market tick data by expiry date, pass the data of each expiry to the FitSmile function in the smile model to fit the model to the market data, and calculate the fitting error. The fitting error is defined as the mean (or weighted) square error (see https://en.wikipedia.org/ wiki/Mean_squared_error and lecture notes) of all the contracts’ mid implied volatility versus the model volatility at the corresponding strike. For simplicity, at this step we can take the average of BestBidIV and BestAskIV for fitting, without looking at other fields. CourseNana.COM

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Implement the FitSmile function in CubicSmile.h. The function returns a CubicSmile that fits the tick data of a given expiry date. The fitting algorithm could be a least square fit using L-BFGS (https://en.wikipedia.org/wiki/Limited-memory_BFGS). CourseNana.COM

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The project folder includes a header-only library for L-BFGS (https://lbfgspp.statr.me/) in the Solver subfolder. You can look at the test_lbfgs build rule in Makefile for how to use it. You may also use algorithm of your own choice (it can also be simple algorithm that does not involve a solver) to fit the input data. CourseNana.COM

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To build step 3: make step3 CourseNana.COM

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To run step 3: bin/step3 <input.csv> <output.csv> CourseNana.COM

[Bonus point] Consider make minor changes to the CubicSmile model or fitting error measurement to improve the fitting quality. You should describe the rationale and test results if you do so. CourseNana.COM

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Project Submission and Evaluation Criteria CourseNana.COM

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Zip your project PDF report with your project source code folder, submit a single zip file. Indicate your group members in the report. In the report, you shoud describe your test cases and show the test results in tables or charts. Tables or charts does not have to be generated using C++. CourseNana.COM


The evaluation of the project is based on CourseNana.COM

• Clearness of the presentation CourseNana.COM

• Thoroughness of the tests CourseNana.COM

• Correctness, readability, and performance of the code CourseNana.COM

• Smile fitting error CourseNana.COM

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