I'm just started with finance, so maybe my question is dumb or answered elsewhere. Please guide me to relevant materials. The arbitrage is avoided by embedding deposit returns into Call price. Now looking at real prices I do not see large difference between Put and Call options prices even for options which have about a year till expiration which suggest near zero risk-free rate.
For example, today data from google:. By looking at this two questions arise:. First of all, if you are new in quantitative finance, I suggest to read the Hull'book , that's the basic for who wants to get topic fundamentals. Your evaluation is correct if you assume that linear relationship, but on real prices anything is linear; so, it depends on whath you're looking for: As regards what you need for about risk-free rate estimation, each option trader has different opinions about the question you raised.
In my humble opinion, you should use the return of the less risky government bond of the area you're studying, as the US T-Bill for North America option market or the German Bund return for the Euro option market. Moreover, there're a lot of model that deal this topic with and that estimate the proper risk free-rate. For American options there is no parity rule, as I stated in the comments. However, there is the following disequality:.
The risk-free rate used in the valuation of options must be the rate at which banks fund the cash needed to create a dynamic hedging portfolio that will replicate the final payoff at expiry. Dealers borrow and lend at a rate close to LIBOR, which is the funding rate for large commercial banks.
Which risk free rate is assumed by market when pricing american options? For example, today data from google: By looking at this two questions arise: Does my calculations correct? If market assume zero risk free rate does this means call are underpriced? One can still get risk free rate by investing into bonds or saving account. In this case Call plus Deposit will earn more than Stock plus Put since Call price does not have risk-free rate embedded in it.
For American options it is not valid. Good point Arrigo, thank you! If put call parity does not hold can you suggest a way to calculate risk free rate assumed by market when option prices are defined? Quantopic 1, 1 8 No matter what former strategy will yield more that latter one, isn't it?
However, there is the following disequality: Arrigo 2 4. Dom 2 9. It is better to use rates from Overnight Indexed Swaps. Yes that is true. I did not want to get into OIS but wanted to make clear that previous answers referencing government curves were wrong. I will extend my response.
Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Put-call parity is valid only for European options because they are exercised only at maturity.More...