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16 votes
Accepted

Why using the swap curve as riskfree rate and no longer gov bonds?

I guess it depends on what they're referring to... The traditional swap curve (LIBOR-based) is certainly not risk free, as evidenced by the experience of the financial crisis and the resulting ...
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13 votes
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Derivation of VIX Formula

The piece you are missing is an approximation via the Taylor formula of the logarithm: $$\ln(1+x) \approx x-\frac{x^2}{2} \; .$$ Apply this to the first term in the final formula of the technical ...
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12 votes
Accepted

Why does the valuation of the floating leg of a swap only use the next payment?

The reason why you can price a swap without a model is because you can replicate the payoff using only zero-coupon bonds. For the fixed leg this is trivial. For the floating leg, at $T_0$ invest ...
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12 votes
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What is the difference between OIS Swap vs Basis Swap?

A Basis swap is a broad category of swaps where you exchange one floating rate against another floating rate. Without knowing the specific rates involved it is difficult to say more. An OIS Swap is ...
  • 9,202
12 votes

Swap curve construction

I think your question can be split into two parts: (i) how to value a swap mathematically and (ii) how swaps actually work as a traded product. Part (i): As noob2 pointed out, "theoretically"...
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9 votes
Accepted

Why do FX Swaps have Interest Rate Risk?

An FX Swap can be described as "borrowing in one currency and lending in another". When put this way it is clear that it has something to do with interest rates in the two currencies. You will be very ...
  • 9,202
9 votes
Accepted

Difference between 5Y breakeven inflation and 5Y5Y inflation forward?

I downvoted because I think the FED is very detailed in their documentation. The definition of a forward is a very basic financial question that a bit of google search can answer and not a quant ...
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8 votes

Why is a variance swap long skew?

As I've mentioned in a comment, it would be wrong to think that entering a variance swap specifically amounts to being "long skew". What you can say however is that, in the absence of jumps (i.e. in ...
  • 14.1k
8 votes

Why is a variance swap long skew?

If you take Quantuple's stuff a little further, you can really see whether you're long skew. You can pretty easily see the dependence on convexity too (though it should be obvious that you're long ...
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8 votes
Accepted

Spot/Next and Tom/Next FX forward swaps

Let’s say the settlement period is T+2, and you made a deal on the 8/10/2018. The spot date would be 10/10/2018 (assuming no holidays!), that’s when the physical exchange would happen. Now if you don’...
7 votes
Accepted

Does an Interest Rate Swap has a Vega component?

There is no contradiction. If the strike of the floor and cap are both equal to the swap rate, and all accrual/payment frequencies, etc. are the same, then put-call partiy implies $$C_{t}-F_{t}=S_{t},...
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7 votes

Why is CSA currency OIS rate used in discounting instead of local currency OIS?

The problem here is that your market is not arbitrage-free: JPY OIS = 10% per day, flat USD OIS = 0% per day, flat USDJPY spot = 100 USDJPY Forward for tomorrow = 100 A quick sense check ...
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7 votes
Accepted

What is a Constant Maturity Swap (CMS) rate?

A constant maturity swap (CMS) rate for a given tenor is referenced as a point on the Swap curve. A swap curve itself is a term structure wherein every point on the curve is the effective par swap ...
7 votes

Downward Sloping Swap Spread Curve

If I look at the market I think this is mainly driven by the very nature of the long end investors of the swap curve. Compared to govi curves the swap curves provides a much better liquidity in longer ...
  • 1,638
6 votes
Accepted

Why QuantLib computes the fixed-leg swap rate by this formula?

fixedLegBPS is the basis-point sensitivity of the fixed leg, that is, how much its NPV changes when the fixed rate changes by one basis point: it's calculated as ...
6 votes
Accepted

Curve Euribor - Euribor 3M

It is incorrect to use 1m euribor or O/N euribor in a 6m Euribor forward curve. You should only use instruments based on 6M euribor, such as 1x7 FRA, 6x12 FRA or swaps v 6m Euribor, as you have done ...
  • 304
6 votes
Accepted

Quantlib bootstraping fails on 5y swap

You're not the first to trip on this, and unfortunately the fact that the provided example is from a different era doesn't help. Quite simply, you're not writing rates correctly. The 5-years swap ...
6 votes

What is a Constant Maturity Swap (CMS) rate?

In simple terms: An ordinary swap might be a 10 year swap of Libor vs a fixed rate; this fixed rate is determined in the marketplace every day and is published by Reuters, Bloomberg etc. as the '10 ...
  • 9,202
6 votes
Accepted

Swaption Trading

At most banks, swaption traders have models that allow non atm volatilities to be controlled by two parameters. Specifically , a parameter to control the smile (richness of out of the money options) ...
  • 14.5k
6 votes

Discount curve and payment frequency

Better yet, don't use LIBOR for discounting at all. Since LIBOR involves credit spread over the risk free rate, using LIBOR for discounting would adjust the deal's market value to reflect some amount ...
  • 61
6 votes

analytical formula for FV of fixed rate of a IRS

The key inputs to this calculation are two yield curves obtained from market data: $\{v_i\}$ the discounting factors (value today of \$1 received at time i) and $\{r_i\}$ the forecasting curve (...
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6 votes
Accepted

Question on Xccy swaps curve observability

In Argentina (and a few other emerging markets), a cross-currency swap is somewhat liquid (much less so than in was before the most recent sovereign default). You can find someone to trade 2 year ...
5 votes
Accepted

Convexity adjustment

I have traded those convexity adjustments for many years. Any decent model of these adjustments allows the user to vary the correlation as they please, rather than assuming something. If it is of ...
  • 14.5k
5 votes

What is a Constant Maturity Swap (CMS) rate?

In a vanilla swap, the IR on the floating leg usually depends on the reset period/swap frequency. If frequency is 6m, 6m LIBOR is used for reset, 3m LIBOR for quarterly resets etc. In a floating CMS ...
5 votes

How to build a cross currency swap pricer?

I recenlty worked on a similar problem and solved it with the help of Quantlib library. Assuming you are working with EUR and USD: get cross currency (xccy) swap data EUR / USD. You want to know how ...
5 votes

Why would one prefer variance swaps over other instruments?

The vega of an option is very dependent on the spot price. The vega of a variance or volatility swap is not.
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5 votes

Why do FX Swaps have Interest Rate Risk?

Looking at the swap as a series of forwards, considering then that the arbitrage-free FX forward depends (via the so called interest rate parity) both on the FX spot and the interest rates for the ...
  • 1,277
5 votes
Accepted

How were OIS discount curves built before long-term OIS were liquid?

The ois curves were (and still are) primarily build from adding together (a) interest rate swap rates and (b) Fed Funds/Libor basis swaps. For example, if 10yr swaps are 2.0%, and 10yr fF/libor is -...
  • 14.5k
5 votes
Accepted

Swap contract comparative advantage

It is actually rather simple. Lets start with the fixed rate market. A can borrow at 5% while B can borrow at 7%. Simply said, A has a comparative advantage of 2% in the fixed rate market. In the ...
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5 votes
Accepted

What curve are you shifting when you calculate DV01 for a swap?

Let's step back and look at the reason for making a DV01 calculation first before answering the question; The reason for making a DV01 calculation is to quantify what market movements has impact on ...
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