Hi, I just have a few beginner questions or IR modeling
IR modeling is all about using stochastic calculus and asset pricing techniques to impose stochastic factors or IR paths/behavior on short rates. Then one can extrapolate out in time with other factors such as volatility or underlying rate assumptions to construct an entire term structure, which then an option/swaption can then be priced. (correct me if I'm wrong)
For Cash/Swaps/Futures, what is the relevance or use of IR modeling?
In banks, are people still actively doing this or more regulatory capital/CVA work for IR products?
What about it's relevance to mortgages? On the prepayment side, do they use any modeling or just vary prepay speeds/monte carlo simulations.
In terms of books, I know that Mercurio's is an oldie, but a classic and Andersen's is the new standard (though I don't know if he's going to come out with a new edition). What other books or resources do you recommend?
IR modeling is all about using stochastic calculus and asset pricing techniques to impose stochastic factors or IR paths/behavior on short rates. Then one can extrapolate out in time with other factors such as volatility or underlying rate assumptions to construct an entire term structure, which then an option/swaption can then be priced. (correct me if I'm wrong)
/// When you imposed a stoch model for IR it already implies that all parameters of the model are defined including "volatility or underlying rate assumptions to construct an entire term structure".///
For Cash/Swaps/Futures, what is the relevance or use of IR modeling?
///When you looked at the pricing of these instruments with constant deterministic ir you can easy note that in stoch setting of the problem you should replace constant ir by stochastic and take real or risk neutral probability expectation depending whether or not BS'
s hedging is applied.
capital/CVA work for IR products
///if we take into account possibility of default they used more secure schemes which minimizing possible losses.
What about it's relevance to mortgages?
///ir itself is a factor that affect mortgage rates. But there are other factors that could change mortgage rates.