Questions tagged [theory]

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2
votes
0answers
44 views

currency pegging & FX reserves of central banks

Any good references on the math behind currency pegging by central banks as a function of: - the bank's balance sheet - market prices of the 'master' currency...specifically, how the bank traders (...
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0answers
66 views

“Correct” way to average OAS of multiple securities?

Suppose one wants to compute an OAS on a portfolio of securities, but one can only compute the OAS of the individual securities. Is there a "best" way (under some metric) for one to go about doing ...
0
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2answers
277 views

question on XIRR (excel)

Let's say we have an initial investment of -10 on 1/1/2000, and from 1/1/2001 to 1/1/2018 (with annual payments on Jan-1 of each year for 18 years) we get a CF of +2 each year with a final payment of ...
0
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1answer
56 views

What are the reasons that make stock return - bond yield correlation a meaningful one?

I have come across interesting charts that show the changing correlation between stock returns and government bond yields. My gut instinct tells me that such relationship would be expected to be ...
0
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2answers
67 views

Firm specific risk

I know that according to traditional finance, firm-specific risk plays now role in the pricing of an asset but only systematic risk. But on the other hand the stock price should reflect all discounted ...
2
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1answer
219 views

Collateral replication argument

I'm trying to follow the replication argument in the first page of the following paper http://www.math.columbia.edu/~fts/Collateralized%20trade%20pricing%20made%20simple%20v1a.pdf One can however ...
0
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1answer
28 views

How can I measure wealth gain (loss) due to inequality?

As time passes, outside of inflation, the buying power of an individual changes relative to their peers wealth. How can I measure the effect wealth inequality has relative to one's savings?
1
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1answer
811 views

Explain Four Basic Axioms of Maximising Expected Utility

I begin learn PRM , Someone help me understand Four Basic Axioms of Maximising Expected Utility most intuitive way .Thank you very much
4
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0answers
232 views

Show that in an arbitrage-free and non-redundant market a certain set is compact

Some notation: We consider a financial market with $d+1$ assets, the $0$-th asset is considered the risk-free asset, the others are the risky ones. The vector $\overline \pi \in \mathbb R^{d+1}$ ...
12
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0answers
288 views

Here is an approach for measuring Data Snooping; is it new?

I came up with an approach for measuring data snooping, or overfitting. My question is whether this approach was published and expanded-on already, or is it new? My approach relies on the observation ...
1
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1answer
208 views

Can a null be inconclusive? [closed]

My Null for the T-test is h0: -tcritical < Tstat < +tcritical I require confidence level of 95%. If my empirical result satisfies the null, but not my p-value requirements, does this mean ...
1
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0answers
283 views

What are the roles of “Game theory” and “optimisation (linear, integer, conic)” in Finance, Mathematical Finance? [closed]

Would you please give me some information about application of "Game theory" and "Optimisation" in Finance and Mathematical Finance? which is more important to know and learn? How about "multi-...
6
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3answers
1k views

What should I put on a math finance cheat sheet?

What are the most useful results that I should put on a mathematical finance cheat sheet? Am I missing anything important: https://github.com/daleroberts/math-finance-cheat-sheet
2
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1answer
130 views

Is the volatility of a trader's wealth equal to the volatility of the underlying assets traded?

Assume that a trader trades in several stocks with different volatilities. The return of the trader's portfolio would be the weighted average of returns and the risk would be a function of the the ...
5
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1answer
752 views

Definition of orthogonality and independence for a stochastic processes

Somehow I can't find the explicit definition of when two processes are supposed to be orthogonal or independent anywhere. I think orthogonality and independence should mean the same thing in this ...
3
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0answers
46 views

Characterizing relation “ has no less information than” between information systems represented by Markovian matrices

I crossposted this question on math.stackexchange. Background: Suppose that an investor's utility is both determined by the state and her action taken. A fact of life is that she can't observe the ...
3
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1answer
169 views

What's the underlying idea of definition of constrained market in Skiadas' Asset Pricing Theory?

I'm self-studying Skiadas' Asset Pricing Theory, and find the definition of constrained market on page 21 confusing(you can find it here in the sample chapter). Definition 1.26. A constrained market ...
11
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2answers
726 views

Is it possible to understand financial theory without mathematics?

I am trying to develop a short course on financial theory, covering the fundamentals of forward and options pricing, and 'efficient market' theory. I want to reduce the amount of mathematics to a ...
7
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1answer
492 views

Toy models of asset returns

When making simple agent-based models of banking systems to look at global properties (say systemic risk) one of the basic decisions you have to make is how to model returns on external (to the ...
7
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3answers
879 views

Why should there be an equity risk premium?

After years of mathematical finance I am still not satisfied with the idea of a risk premium in the case of stocks. I agree that (often) there is a premium for long dated bonds, illiquid bonds or ...
14
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9answers
8k views

Has spectrum analysis ever been used successfully to analyse historical price data?

Spectrum analysis is often used to analyse waveforms. A common configuration, for example, is to create a graph where X is time, Y is frequency, and the brightness of each position represents ...
2
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1answer
501 views

What are some “Must Know” investment/portfolio management theories out there?

What are the most important portfolio management theories you must know in order to competently manage an investment portfolio? In order to keep the topic focused, I would like to narrow down the set ...
27
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6answers
11k views

Why is an inverted yield curve a problem?

Immediately preceding the worst of the financial crisis, my professors all pointed out to me that the yield curve had inverted -- short-term yields were more risky than 20-year or 30-year Treasury ...
8
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2answers
3k views

Why doesn't Black-Scholes work in discrete time?

I have a question considering Financial markets in discrete Time: One of the main theorems in discrete time is: In finite discrete Time with trading times t={1,...,T} the following are equivallent: ...
16
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3answers
817 views

Empirical or theoretical quant insights that have shaped your thinking?

What are some quant theoretical or empirical insights that have shaped your thinking or provided a deeper conceptual basis for explaining returns and risk?
25
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3answers
7k views

Why hold options when you can dynamically replicate their payoff?

When holding vanilla options, you can cancel out, theoretically, all risk with dynamic (delta) hedging. Then you earn the "risk free rate of return". Why would you make such a portfolio when you can ...
4
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1answer
230 views

How to quantify the impact of management cost on return?

Suppose funds X and Y are the same but X has 0.25% higher management cost. Suppose we are analyzing a 2 year interval. The simple models with discrete/continuous interval -assumptions are not really ...
14
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1answer
2k views

How do I reproduce the cross-sectional regression in “Intraday Patterns in the Cross-section of Stock Returns”?

Recently I was trying to reproduce the results of "Intraday Patterns in the Cross-section of Stock Returns" (published in the Journal of Finance 2010). The authors used cross-sectional regression to ...
95
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16answers
11k views

What concepts are the most dangerous ones in quantitative finance work?

There are a few things that form the common canon of education in (quantitative) finance, yet everybody knows they are not exactly true, useful, well-behaved, or empirically supported. So here is the ...
26
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4answers
4k views

Is there any theoretical basis for pattern-recognition strategies?

Mean-reversion and trend-following strategies have some kind of a theory behind them that explains why they might work, if implemented well. Pattern-recognition, on the other hand, seems like nothing ...