# Questions tagged [risk-neutral]

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12 questions
61 views

### How to handle bid-offer spread causing negative estimations of risk-neutral densities from option prices?

I have attempted to estimate the risk-neutral probability density, from CBOE options prices on S&P500 from 2010 to 2016, using the following approximation from Hull (2018). For call options on a ...
123 views

### Risk neutral drift in presence of xccy basis

Suppose I invest in an EUR denominated fund. This fund invests fully in USD stocks and doesn't hedge it's FX exposure (i.e. the EUR value of this fund is just equal to the USD value of the holdings ...
350 views

### Why must the risk free rate be free from risk in risk neutral valuation?

I am reading through documentation related to Funding Valuation Adjustments (FVA) which discuss risk free rate and funding matters and the following question came to my mind: in risk neutral valuation ...
803 views

### Simulation of the geometric Brownian motion under risk-neutral measure

I hope you can help me again. It is clear how to simulate the GBM: $S_{t_{k}}=S_{t_{k}}exp[(\mu-\frac{\sigma^2}{2})\Delta t_{k+1}+\sigma\sqrt{\Delta t_{k+1}}Z]$, where Z is a stand. norm. dis. RV. ...
58 views

### Fees on derivatives

Since it's obviously not at their fair value that derivatives are priced, how do investment banks compute the fees that they add on top of the risk neutral price ?
157 views

### BSM Model - Actual probability

Actual probability of exercise of put option under BSM model is: PD = N(-d2(u)) (using expected return of stock, u) Risk-neutral equivalent is ...
385 views

### Do futures follow physical or risk-neutral distributions

I've spent a while looking for an answer to this question and while I feel it is a simple question I have not found an answer. I know prices of option contracts follow an implied, risk-neutral ...
432 views

### Risk Neutrality Necessary for Dual Delta Calculation?

I have an option chain for a specific expiry date. Then calculate dP/dK numerically for each pair of strikes. My hunch is that this calculation is not risk neutral in the strictest sense of the word ...
3k views

### Radon-Nikodym derivative and risk natural measure

I need help with my understanding of changing probability measure. Im not a mathematician so I hope for answers that are not too technical. As shown in this Wikipedia article http://en.wikipedia.org/...
323 views

### Prove that the binomial algorithm implies the arbitrage free price at t=0 of a T-claim

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ these propositions How does the first formula follow from from the algorithm? I get that $\Pi(0;X) = V_0(0)$, but I don't ...