# All Questions

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### What is this ratio: expected returns on stock divided by risk free rate?

So this ratio has come up in some work I'm doing and I can't seem to figure out if it is attested in the literature. Here's the setting: Given a risk free rate $r(t)$ and a stock price which follows ...
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### Modeling credit utilization and stock market growth

I relatively new to financial mathematics but I am wondering if at all there exists a relationship between credit utilization (the rate at which the public accesses credit from financial institutions) ...
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### Utility Theory - How to show that this exponential utility function is wealth-independent?

I have a question on the following exercise from chapter 9 of D. Luenberger, Investment Science, International Edition. Exercise 2 (Wealth Independence) Suppose an investor has exponential ...
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### Portfolio Hedging under Uncertain Correlations

I have a portfolio ($w_0=1$) and two hedging assets ($w_1,w_2$) and a co-variance matrix for the three $\Sigma$. However the co-variance $\Sigma$ is only an estimate. For fairly well behaved assets ...
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### residential mortgage prepayment modelling

I'm trying to develop a model for predicting prepayments, after reading several arcticles about it over the net. the model should use market data and be behavioral model (i.e. regression/survival ...
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### Numerical computation of Heston model Integral: Simpsone Rule or Gauss-Legendre Method

I want to price a call option using the Heston model for a given set of parameters. theory from URL: http://elis.sigmath.es.osaka-u.ac.jp/research/Heston-original.pdf The integral equation (18) ...
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### Are low oil prices and low shipping costs really a leading indicator for a shrinking economy

Recent article in Bloomberg saying that lowered shipping costs n the form of the Baltic Dry Index and lowered oil prices are in someway a concern for a growing global economy: ...
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### Research topics - neural networks and market liquidity

I am a masters student looking for some direction on using neural network on market depth data to help predict market liquidity and bid-ask spreads. Can some of the more experienced people give me ...
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