Questions tagged [derivatives]

A financial contract whose payoff is linked to the evolution of an underlying security.

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1answer
67 views

What happens to both sides of an inflation swap agreement if there is deflation?

If there is deflation does the Inflation receiver not only pay the fixed leg but also receives a reduced CPI? I.e. does he lose twice?
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123 views

When would open interest equal trading volume?

I know the difference between open interest and trading volume. Open interest is the number of contracts, long or short, outstanding. Trading volume is the number of contracts traded in a day. ...
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55 views

What is the name of these digital basket options?

Consider a basket of correlated assets $(S_1(t),\ldots, S_N(t))$, as well as a vector of strike prices $(K_1,\ldots,K_N)$, and let's look at the following European payoff types: An option that pays 1€...
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2answers
78 views

Why would a buyer buy a Warrant vs an Option, both having the same economics

Assume you have a Warrant and an Option both with the same economics i.e strike, expiry, type etc. Also assume that the Warrant has been issued by a high grade reputed issuer (i.e there is a almost a ...
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1answer
53 views

If short rates $r(t)$ do not determine the bond prices $P(t, T)$, then what is the basis for short rate models?

The question title says it all: We know that in general, specifying the short rate $r(t)$ does not specify the bond prices $P(t, T)$. So how can a model for short rates—for example the Vasicek model—...
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2answers
65 views

Valuation of Total return swaps (TRS)

I have seen a TRS being valued which has an index as underlying on the asset side. It also has a coupon rate associated with it. Asset leg is calculated by taking ...
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1answer
73 views

Difference between FRA and a zero coupon swap

Wanted to know the difference between an FRA and zero coupon swap with both legs having payment at maturity. If the zero coupon swap is forward starting, will it be equivalent to an FRA?
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32 views

Difference in utility of cap/floor and FRA

What is the difference in utility for cap/floor and FRA? To me their function looks very similar. Are they used for different objectives. One thing I know in difference is that the pay off for cap is ...
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57 views

Banks' use of written interest rate options

I study US commercial banks data. I look at the notional amounts of their different OTC interest rate derivatives for the recent years. When I look at non-dealer banks (i.e. end-users), I find that ...
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1answer
74 views

Black Sholes option pricing with all but Delta [closed]

I'm trying to setup a little option pricing model in excel. I have all the information for the inputs (interest rate, IVs for different deltas, time to expiry, strike price, underlying price) but what ...
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39 views

Solutions for Paul Wilmott Derivatives Book

I am looking for solutions manual for Derivatives, "the theory and practice of financial engineering". I'm not sure if the manual is published ever but I couldn't get it. I would be more than happy ...
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63 views

Bates Model Jump Percentage Parameters

I am trying to calculate the jump parameters for the Bates volatility jumps, specifically, the mean of the jump percentages, $\mu_j$. For the value of $J$, I am using jumps $|\frac{s_{i}-s_{i-1}}{s_{i-...
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62 views

How to determine expected returns of an options portfolio?

Lets say I have a delta neutral portfolio, iron condors on spy for example. I'm short a call credit spread and a put credit credit spread of equal widths. I would like to determine the expected ...
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1answer
49 views

Can someone explain to me the intuition behind the discount factor for this simple payoff? [closed]

Let's say you enter into a contract today in which in time t, you receive the difference between the underlying stock price and 100. Denote the stock price as S. Why is today's value of such a ...
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1answer
72 views

Pricing with local volatility for derivatives beside options

Say I have calibrated an local volatility mode to market data on a forward on stock X. Say I want to price a derivative Y that is NOT a call/put option. What is the (or one of many) general strategy ...
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1answer
36 views

Where can I find the formulas to compute the Greeks for European Call and Put Options Assuming no annual dividend yield?

Every formula I come across involves a $q$ (the annual dividend yield). Where Can I find the formulas to compute the greeks assuming no dividends?
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1answer
43 views

Equivalence of formulas for pricing the Delta of a European Call Option?

I came across two formulas to compute the Delta of European Call Options. The First: $\frac{\partial C}{\partial S} = e^{(b - r)T} N(d_{1})$ The Second: $\frac{\partial C}{\partial S} = e^{-qr}N(d_{...
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48 views

Swap Pricing - Using forward rates vs using par bond after first floating payment

There seems to be two different methods I have come across for valuing a Interest Rate Swap - specifically the floating leg. One method described by Hull: incorporates the cashflow from the first ...
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1answer
108 views

Any good book recommendations for learning The Greeks?

I am interested in getting a good "feel" or intuition for the BSM Greeks. Specifically, i'm looking for a book which is light on the math (but not too light) and easy to read and understand. I am also ...
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52 views

Why does it make sense to be long deep OTM calls on a stock if I expect the share price to jump in the near term?

This may be a simple question to all, however, it is puzzling me for the simple reason that deep OTM calls have very small deltas per the BSM. That is, even if the share price jumps (e.g. IBM moves ...
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38 views

Possible to have different collateral for each party?

Normally bilateral credit support annexes would have both parties post/receive the same collateral be it US treasuries or cash etc. Are there CSAs Where each party has a different set of eligible ...
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2answers
113 views

What is the best book to learn about local vs. stochastic volatility, modelling and pricing of Exotics?

I am starting to delve into the world of Exotics and I am trying to find a rigorous yet understandable book that covers both mathematically and qualitatively (especially mathematically) the following ...
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55 views

How would one go about pricing a FX future?

What model/equations would I require to calculate the price for a foreign exchange future? This is in an attempt to mitigate foreign exchange risk. Also, how could one measure a business's exposure to ...
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1answer
76 views

what are the underlying transactions for SOFR?

Recently I am reading about SOFR (Secured Overnight Financing Rate), which is projected to replace LIBOR to be the reference for risk-free rate in the market. But I still don't understand or imagine ...
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111 views

A crash course in pricing

I need to refresh all the pricing theory. Is there anything like a crash course with practical and intuitive explanations? I will provide any further information. I am a mathematical engineer. I am ...
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1answer
78 views

relationship between notional amounts of volatility swaps and variance swaps

Taking volatility swap payoff as $$( \sigma_F - \sigma_S ) * volatility~notional $$ and Taking variance swap payoff as $$( \sigma_F^2 - \sigma_S^2 ) * variance~notional $$ I am trying to understand ...
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39 views

Equal weight correlation swap payoff derivation

I am aware that the payoff for a equal weighted correlation swap is; $$ (\rho_K-\rho)*\text{Notional} $$ where $$ \rho = \frac{2} {n(n-1)}\sum_{i < j} \rho_{ij} $$ I am wondering how I can derive ...
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51 views

Is there Carry Effect for Cash Settled Bond Future

As we know, physical settle bond future would expose carry effect which would be the deliverable bond coupon and your financing cost (cost of carry as a sum term). This is because it can be replicated ...
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17 views

Longstaff Schwartz with future conditional coupons

I've implemented the L-S algorithm for a simple put option. I want to value a more complex derivative which has future conditional coupons which only occur if the option is in the money. How would I ...
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1answer
163 views

Pricing under risk-neutral probabilities for weird derivatives?

I would really appreciate some help to value a weird derivative that I've found in an assignment: $$ X=(S_{T_1}-k)^{+} = \max(S_{T_{1}}-k;0) $$ which expires at time $T_{2}$ and uses the price at ...
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1answer
32 views

Term structure model for exchange-traded STIR futures and their options

As I understand, models such as the SABR extension of the Libor Market Model are the "standard" for interest rate derivative valuation in OTC markets, where options tend to be European and it is ...
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37 views

Value of a put > strike?

I dont understand why the value of a put will be greater than the strike. Is this human error? Weatherford had been delisted and the price of the underlying OTC is 0.05 at the moment. Its a 0.50 Put 6/...
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1answer
105 views

Longstaff Schwartz algorithm

I am new in finance, I have implemented the Longstaff Schwartz algorithm for pricing american otion - one asset (dimension = 1). My questions : Does this algorithm still efficient for a high ...
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1answer
134 views

Calculate forward discount factors and forward reference rate when discount factors are known

I am trying to learn how to value interest rate swap through portfolio of FRA's(forward rate agreement).But I have got stuck in calculation of floating leg. Here is the scenario as given below for ...
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2answers
118 views

Volatility smile shows individual Put and Call IV or combination

IV is calculated per strike AND option type basis(for example WTI 50 CALL its x and WTI 50 PUT its y). The question is when its shown in "Smile" its just shown on strike basis, so does that mean lower ...
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1answer
63 views

Is it possible to create an instrument on the amount of beds sold within the real-estate market

I have been doing some research on the PBSA (purpose-built student accommodation) market around the globe. The market is growing year on year there is an index on this market the cbre. What ...
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1answer
87 views

Derivatives Trading Jargon

Could you please help to understand trading jargon in this tweet. Thanks in advance. For non twitter users: Bookie pushing 5-delta (strike of 8) 2 month TRY puts. 0.6%
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2answers
250 views

Detect trend of an index

My question is about determining the trend and it can break down to 3 parts. To clarify, a trend in my point of view, and in simple form, is the last close at time t relative to its time reference, i....
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1answer
90 views

What is the purest way to get exposure to Jump risk premia, is there a jump swap

So to get exposure to Variance risk premia one could use variance swaps, is there a equivalent security for jumps. Hedging against jump but not diffusion risk could allow one to take targeted exposure ...
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61 views

Two barrier options puzzle

I come across an interesting question about barrier option as shown below. Two barrier options are given with the same parameters including the barrier level. The first one is knocked out when it ...
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1answer
60 views

Should one calculate CVA even when exposure is negative?

I have an example, where two companies have the bilateral nature of derivative contract. Companies have exchanged collateral a number of times, so at a certain point in time each sides holds some ...
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0answers
51 views

How to Compute the payoff of Var Swaps, which I have replicated

I used Derman(1999) method, to calculate the fixed Kvar for Variance Swaps using actual option price data. The first Pic Shows the outcome. (ignore the 0s). Now the profit and loss of short var swaps ...
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1answer
307 views

Derivation of VIX Formula

I've read a lot of derivations about VIX formula. I can say it is -adjusted- fair strike of variance swap. But I can't see how it goes from variance swap rate to VIX formula. In particular I can't see ...
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2answers
64 views

Cash vs Deposit Rates

When constructing a yield curve for derivatives purposes, what is the difference between cash and deposits rates?
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1answer
552 views

CMS Pricing - Convexity Adjustment by Replication [closed]

I'm trying to learn CMS pricing, but didn't get the logic of this method. Previously cited articles about this method is pretty complex. I'd be glad if you can provide me with simpler articles or ...
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80 views

Derivative of the stock price and volume at time t

According to Forecasting of Jump Arrivals in Stock Prices: New Attention-based Network Architecture using Limit Order Book Data at page 9, I would be interested in deriving the the price (ask and bid ...
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76 views

pricing of futures

When pricing futures with the cost of carry model; When do you use continuous compounding and when do you just use simple compounding? AND WHY? Also, when deriving proof of no arbitrage with the cost ...
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49 views

FX Average Forward Pricing

Lookin for documentation on how to price FX Arithmetic Average Rate Forwards. Couldn't find any info on textbooks. Any help is very appreciated.
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3answers
563 views

Commodity Asian Swaps

I'm trying to find info about asian swaps on oil/energy products and about their pricing methods. However, all I could find are on asian options. Would be glad if you can provide me with some ...
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2answers
65 views

Arbitrage-free calculation of flat term structure out of normal term structure for e.g. pricing european options

since e.g. the Black-Scholes model requires a constant interest rate (flat term structure) but the real world often has normal term structure, I was wondering if it is mathematically correct to ...