Questions tagged [finance]

Finance describes the management, creation, and study of money, banking, credit, investments, assets and liabilities as well as the systems to handle these instruments.

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411 views

MATLAB or Python as starting language? [closed]

I have a fairly rigorous background in mathematics (last year of my undergrad in Pure Maths), and I have been exploring the world of Quantitative Finance as I explore what I might be able to do with ...
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2answers
188 views

Interesting Undergrad Thesis [closed]

I'm searching for an undergrad thesis in finance. I already have some ideas, but still wanted to ask: Is there a an interesting topic that jumps to your mind, when you think about implied volatility (...
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2answers
165 views

Undergrad Thesis about the VIX

For week's I've been searching for an interesting undergrad Thesis in finance. I have some things in mind, but I don't want to leave outany opportunity for inspiration, so: Is there an interesting ...
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3answers
1k views

How to calculate standard deviation of continuously compounded four-year stock returns?

Currently I am preparing for quant interview and I encounter the following question in Heard on the street. Question: If the standard deviation of continuously compounded annual stock returns is $...
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2answers
795 views

Question on earning per share

For 2009, Flamingo Products had net income \$ 1,000,000. At 1 January 2009 there were 1,000,000 outstanding. On 1 July 2009,the company issued 100,000 new shares for \$ 20 per share. The company paid \...
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1answer
2k views

Why is delta-hedging of ATM options near expiry difficult to do? [closed]

Can someone explain to me why the delta-hedging of ATM options near expiry is difficult?
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1answer
235 views

Pricing of forwards contracts

Of the courses I am taking in college this semester, two are Financial Mathematics and Derivatives. In each course, we learn different formulas to calculate the forward price of a forward contract. ...
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3answers
1k views

What does Volatility Smile tell? [closed]

Could you please share your opinions about Volatility Smile? What does it tell us when it gets more convex or when its level changes over time or any other change on it. Any paper/work/blog ...
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1answer
77 views

QQQ fillings history

I'm trying to find Invesco QQQ Trust fillings for 2001-2018 time period, at least top 10 by year, do you know where I should search?
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1answer
1k views

When does the CBOE Put Protection Index (PPUT) make profit?

In my question, as stated in the title, I aim to understand when the strategy of the CBOE Put Protection Index (PPUT) makes profit; particularly during which market conditions. Given the description ...
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2answers
2k views

Test statistical significance of a trading strategy

I have created a trading strategy which operate every single day on the DAX 30, for the last 1700 trading sessions (some years). I have the daily returns of my strategy and also the daily returns of ...
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2answers
8k views

What are the properties of Max and Min functions?

I am having trouble understanding the transition from the third line to the fourth line. I see how it works through cases, but is there a general property that allows this?
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1answer
198 views

Question about the stochastic differential equation in the Merton model

in the following stochastic differential equation merton model we have $$\frac{ds}{s}=(\alpha-\lambda k)dt+\sigma dW+dq$$ where $\alpha$ is the instantaneous expected return on the stock; $\sigma^2$...
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1answer
98 views

Get discount factors with limited knowledge?

I am facing the problem of just having this information: 6% coupon bond with 2.5 years to maturity, traded at a 100% clean price 4% coupon bond with 1.5 years to maturity, traded at a 98% clean price ...
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1answer
83 views

Calculation of Market portfolio from efficient frontier

I have a specific Portfolio frontier. Can someone provides me with details about how can I calculate the market portfolio from the efficient frontier? I know that I have to draw the tangent line from ...
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2answers
197 views

Reinforcement learning in finance

In brief, what are some mainstream and recent applications of reinforcement learning in finance that fall outside of the usual scope of agent-based modeling?
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2answers
317 views

May someone please explain the intuition behind the Black-Scholes Equation?

Consider the Black-Scholes equation for a European Call Option, \begin{equation} \begin{cases}\frac{\partial V}{\partial t} + \frac{1}{2}\sigma^2 S^2 \frac{\partial^2 V}{\partial S^2} + r\frac{\...
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1answer
202 views

Relation of risk-neutral probability measures to arbitrage opportunities

Could someone describe how risk-neutral probability measures are linked to arbitrage opportunities and also to whether or not a market is complete? I've been asked this question and am unsure how to ...
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1answer
131 views

Brownian Motions theorems

I know that if $W$ and $W′$ are two independent brownian motions, then $dWt \ dWt′$ = 0. How can I prove/demonstrate this theorem? Additionaly, how can we prove that if $W$ and $W′$ are dependent, ...
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1answer
1k views

How to calculate one-year forward one-year rate? [closed]

I'm just a little lost on how to calculate forward rates. I know this is an easy question, but, if we are given a one-year and two-year zero rate (let's say, for the sake of the argument, 2% and 3% ...
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2answers
895 views

Getting a list of all trading days?

I have a large dataset (taken from Kaggle: https://www.kaggle.com/borismarjanovic/price-volume-data-for-all-us-stocks-etfs/), and I would like to fill in the missing data. To do that I can (1) ...
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1answer
5k views

Fama MacBeth cross-sectional Regression

I am deeply confused right now and hope someone can help me out a bit. I want to replicate part of a paper from Fama/French (2008), Dissecting anomalies, specifically, Table IV "Average Slopes and t-...
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1answer
97 views

Towards a standard day count convention in Finance, what the standard should be?

I recently found out about the multitude of day count conventions in Finance (e.g.wikipedia and stackexchange). As far as I understand the reason for this variety is a long history of diverse usage. ...
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1answer
1k views

Pricing log-contract with Black-Scholes PDE

I was wondering if someone could help me with a problem, regarding the Merton Black Scholes PDE. I have an exam soon and this question on an old exam has been bothering me and a friend for quite a ...
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3answers
326 views

Suppose i want to track S&P500 index using 15 stocks, how do i adjust their weights?

I am given 15 stocks (which is listed in NYSE), and want to track/replicate the S&P500 index. So i am currently have the information about the stock price, and given some capital to invest in (all ...
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1answer
148 views

How does buying back stock affect a company's credit spread?

How does buying back stock affect a company's credit spread? Would it cause it to get smaller? Any clarification would be appreciated.
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1answer
6k views

What are DGTW adjusted returns?

Many papers, e.g. in The Journal of Finance, discuss DGTW adjusted returns (or DGTW abnormal returns) instead of just returns. What are these and how does one compute them?
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3answers
1k views

Given monthly returns of 10-Year Govt Bond, how to get monthly risk free rate of return

I have a list of monthly returns of a 10 year Govt Bond. I am not sure if this is a good proxy for the monthly risk free rate of return. Can somebody suggest how I can derive the monthly risk free ...
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2answers
64 views

EONIA 3 MONTHS or LIBOR 3 MONTHS

due to a calculation I have to make I need the OIS 3 MONTHS for the ECB. I tried searching for data for 3 months EONIA but I could not find anything. Can someone help me with this? if not can I use ...
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1answer
143 views

How to compute portfolio returns when constructing a dollar-neutral portfolio

I am trying to wrap my head around this statement: dollar-neutral portfolios are built: dollar amounts of both long and short positions are equal. Furthermore, it is also true at the stock level: ...
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1answer
223 views

How to manage theta, gamma, vega, and delta risk in options market making simulation

I'm just starting to learn how to trade options and as part of an algorithmic options market making simulation I have risk limits for the greeks (gamma, vega, delta, and theta). There are 9 strikes ...
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1answer
118 views

Why Joshi defined option value to be discounted payoff using risk neutral expectation?

Currently I am reading Mark Joshi's The Concepts and Practice of Mathematical Finance. At page $59,$ the author mentioned the following. Instead of requiring that every portfolio should have ...
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1answer
317 views

Calculate the price at time t=0

Assume the risk-free bond Bt and the stock St follow the dynamics of the Black & Scholes model (with interest rate r, stock drift $\mu$ and volatility $\sigma$). Calculate the price at time $t = ...
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1answer
44 views

Do not understand 'The gain (loss) on the stock position would then tend to offset the loss (gain) on the option position' [closed]

Currently, I am reading John Hull's Options, Futures and Other Derivatives. On page 401, the author mentions the following: Suppose that the delta of a call option on a stock is $0.6$, stock price ...
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1answer
116 views

Modeling mortgage loan defaults

I have a machine learning model trained with a list of mortgage features that include macro variables where the field to predict (the label) is "Mortgage Defaulted" = 1 or 0 (Yes or No). Now, I need ...
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1answer
161 views

Reducing pricing errors (Alpha) in the CAPM with Bitcoin

I have been trying to examine, using the CAPM, if Bitcoin belongs in the market portfolio or not. With 10 industry portfolios from http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library....
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2answers
156 views

Financial Statement Analysis [closed]

So i have just completed a beginners course on understanding financial statements. As part of the final assignment, we are supposed to pick a real company, study its financial statements and conclude ...
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1answer
870 views

Portfolio Variance - Explanation for equation : Investments by Zvi Bodie

Source: Investments 10th Edition by Bodie, Zvi. Page 227 Chapter 7 In Equation 7.17, the book breaks the variance into two parts. I can't seem to understand why the 1/n is represented outside the ...
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1answer
201 views

CCAR Shocks Scenario

I was going through CCAR-2018-severely adverse market shocks file and under the tab: Equity by Geography, I found these shocks. I have two questions: 1) Whether the shocks to Vol points are in % ...
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2answers
262 views

A definition of quantitative finance [closed]

I would ask a sort of "philosophical" question. Is there any author who gave a scientific definition of this subject? Is it considered a branch of mathematics or does it primarily concern economics? ...
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1answer
66 views

Why is the discount function non increasing if pure cash holdings are feasible?

I am struggeling with the question, for example lets take a swap with rate of 3.2 for one year and 3.6 for 2 years and Discount Factor 0.96899 for the first year and 0.93158 for the second year. ...
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1answer
4k views

How to apply Ljung Box Test?

I am checking the closing prices(about 9000+ prices) of the stocks data to test for randomness. The test I am using is Ljung Box test, in MFE toolbox for MATLAB, I used 300 data of closing prices, ...
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1answer
32 views

Valuation of the minimum guaranteed return that (some) pension funds provide - how would you do it?

Let's say a pension fund guarantees an annual return of at least 5% to their customers/investors, such that the investors face a payoff like the one of a call option (no downside). For this guarantee ...
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4answers
65 views

corporate bonds - general questions [closed]

Newbie here and not trading IRL but for a school assignment. I want to buy corporate bonds because they are a safe bet from what I read. I have a few questions though, I hope I will find an answer ...
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1answer
124 views

Calibration Hull-White

This is more a conceptual question around calibration. My objective is to calibrate a 1-factor Hull White model, and my question relates to calibrating a and sigma (both constants) to swaptions. Let's ...
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1answer
58 views

Do the wallet weights with the minimum variance need to be nonzero?

I wonder if we have n risky assets, does the portfolio with the minimum variance always have non-zero weights or can any weight be 0?
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1answer
52 views

Accounting profitability [closed]

Can anyone please help me how to solve this problem? Grocery Freshly want to open a new store. They expect an initial cost of 30,000 to buy the property in which the store will be. After ...
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1answer
90 views

Adjusting your delta hedge when the stock crashes and were originally delta hedged

You are long a call option on a stock and you are delta hedged. The stock crashes in price. How do you adjust your delta, do you buy or sell stock? Could answers please be quantitative (i am getting ...
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1answer
93 views

Justify a backward differential equation

Regards of 4.5.1, how we get 4.5.5?
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2answers
96 views

Instantaneous change in value of portfolio

I am trying to figure out an intuitive explanation for the instantaneous change for the value of a portfolio (essentially I'm creating a self-financing portfolio to replicate a derivative payoff). ...

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