# Tagged Questions

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### Why is the forward rate used for the underlying in Black's model?

Why is the forward rate suitable for being used as the underlying in Black's model? Thanks
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### How to calibrate volatility surface for Interest Rate Cap&Floor pricing

I'm using Black model to do interest rate Cap & Floor pricing. The volatility is determined by using the bootstrapping methodology. However, afterwards, how should I do the calibration, or ...
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### Black model: Delta - strike relationship regardless of expiry?

While wandering through some QuantLib experimental classes for FX trading, I've found this Black Delta Calculator. By reading its .cpp, it seems that no use of ...
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### How does Reuters quote caps?

I'm wondering which curves should I use when passing from the Implied volatility to prices. When I read an implied volatility (for instance 3Y Cap strike 0.5%) the discounts and forward rate ...
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### In a Black-Scholes world, why must volatility be strictly increasing in time-to-expiration?

This question is from Rebonato's Volatility and Correlation 2nd Edition. Rebonato states that if $\sigma_T^2T$ is not strictly increasing, it would be simple to set up an arbitrage. Unfortunately (...
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### Interpolation of volatility curve for Swaption

I have found volatility in the black model for swaption for different maturity (1-2-3-6-9M, 1Y, 18M, 2-10Y, 15-20-25-30Y) and Tenor (1-10Y, 15-20-25-30Y). Now I need another values (Maturity: 2, Tenor:...
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### Pricing of a simple contingent claim

Earlier I had the question (5.11 Tomas Bjork): $$\frac{\partial F}{\partial t}+\frac{1}{2}x^2\frac{\partial^2 F}{\partial t^2}+x = 0$$ $$F(T,x) = ln(x^2)$$ And solve it using Feynman-Kac. The ...