Spread options are a well researched topic.

For example: https://www.mathworks.com/help/fininst/examples/pricing-european-and-american-spread-options.html

If one compares an apple to an orange there should be no surprise that they're not the same.  When talking about swaptions, one is naturally interested in the behaviour of forward-starting par rates corresponding to the swaptions in question. I think that is the point you are making. Given a complet...

“ As you approach the maturity of a swaption, the points of the yield curve that forms the swap rate  are not fixed.  Those points start sliding toward time=0.”   How is aging of bespoke swaps relevant when one is dealing with the implied vols of ATM par swap rates that are quoted as a constant matu...

Thanks for looking at this. My thinking too was to equate dimensionality with the number of state variables.

Having said this, might path dependency complicate things? Prepayments, knock-ins/outs and the like?

I was thinking of dt as constant, sorry if not clear. 

I am unclear on the concept of dimensionality when it comes to using Monte Carlo for option valuation and what I am reading has unfortunately not made things any clearer.   Starting as simply as possible, simulating the terminal price at option maturity of a single underlying in one time step jump f...

A concrete example of your problem faced frequently by middle offices would be the following - you have two traded assets so they both have a historical price and return history. One asset has liquid options traded on it but the other has none. Your front office wants to trade an option on the asset...

Think of it as a cheapest to deliver option.

Alan, my work was a failed attempt at a PhD thesis at what I consider to be a then narrow minded and unprofessional department in one of Canada's universities. I had bought data from the CBOE and had positive empirical results. Anyway, rather than continue trying to reason with a brick wall, I just ...

I've only just downloaded your paper, so these are only my first thoughts. In a similar vein to Ross Recovery, you are imposing structure on utility to frame the  model. Why no mention of Ross? Or Peter Carr?  In the late 1980's I took a rather different and arguably more direct approach that impose...

Collateral exchange and central clearing are fairly effective modern mechanisms designed to reduce losses due to the failure of a counterparty. It is interesting that you did not mention them.   If your failed counterparty provided a hedge you will have to replace it with another trade from another ...

I will read your reference, but before I do I will just note a couple of things. I share your skepticism about the received wisdom that banking activities increase the money supply With one exception, when they extend credit, banks lend out other people's money - either borrowed money (deposits, deb...

SAS has functionality for this kind of stuff. E&Y has been applying it to fill in historical time series for FRTB clients.

There's a lot of real estate to fill in there. Might the correlated Brownian bridge technique be useful?

Recalling the process of signing up, wasn't the idea behind it the same idea as with all forms of social media -  to learn things about you that can be somehow exploited for money?