Questions tagged [pricing]

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7
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1answer
549 views

Exposure calculation of a re-coupon swap

How to calculate the exposure of a recoupon swap (when the MTM of an i.r. swap is settled and the fixed rate is reset to the prevailing swap rate for the residual maturity). It's used to reduce the ...
6
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0answers
158 views

The concept of an incomplete market

While skeeming the relevant literature and web-sites I noticed that mostly the concept of the incomplete market is reduced to the following statement "A market is incomplete if there are more ...
5
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0answers
271 views

pricing option with two stocks

Let $\left(S_t^{(1)}\right)_{t\ge0}$ and $\left(S_t^{(2)}\right)_{t\ge0}$ be the price processes of two stocks with dynamics $$ \begin{align} & dS_t^{(1)}=\sigma_{11}S_t^{(1)}dW_t^{(1)} \...
4
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0answers
64 views

Confused about discretization

I am reading a paper here: https://pdfs.semanticscholar.org/5f91/2d46b02b03230a4ffaaa42d655b2b6147d56.pdf The following is my confusion. The paper has the following continuous time model for the price ...
3
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0answers
76 views

Operator splitting method on three assets black scholes equation

Currently I am studying finite difference method on derivatives with three (or more) underlyings and little bit confused on operator splitting method because two papers have different result. For the ...
3
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0answers
111 views

Pricing eurodollar futures

How are Eurodollar futures priced in practice? What I already know: The implied 3 Months rate by the futures is 100-price, since it matches the payoff. Using daily LIBOR rates, one should be able to ...
3
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0answers
521 views

“Stable-Floating” model for non-maturing deposit for FTP purpose

Non-maturing deposits (NMD) is a deposit without maturity date. The deposit rate is normally low. Banks could adjust the rate at any time. The customer can withdraw without penalty, however, in real ...
3
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0answers
236 views

Stochastic discount factor (aka deflator or pricing kernel) and class D processes

When (under what assumptions on the model) does a Stochastic Discount Factor need to be of Class D? What would be the implications if it was not? Is it connected to one of the no-arbitrage notions?
2
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0answers
28 views

CMS Convexity adjustment with negative interest rates

I need to price bonds with CMS-linked coupons. In order to determine the convexity adjustment to apply to the forward rates, I would use the formula that appears in Hull's Futures, Options and other ...
2
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0answers
95 views

Valuation of Corridor Variance Swaps

Given that the payout of the Corridor Variance Swap (CVS) is $V \left(\frac{\sum_{n=0}^{N}I}{T_2 - T_0} (\sigma^2 - K^2) \right)$, where $\sigma^2$ is the realized variance within the pre-specified ...
2
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0answers
44 views

Pricing of autocallable structured product

I'm looking at this paper: https://doi.org/10.1057/jdhf.2011.25, which is on pricing autocallable structured product. The author uses the Black-Scholes equation to describe the product's dynamic value,...
2
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0answers
61 views

Stocks with same volatility but different drifts

In the book Quant Job Interview Questions & Answers, in section 2, question 2.4 says suppose two assets in a Black-Scholes world have the same volatility but different drifts. How will the price ...
2
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85 views

Linear factor representation Pricing kernel APT

following Cochrane (2005) and other insights, we know that under Arbitrage Pricing Theory (Ross, 1976), if investors believe returns follow a linear multifactor structure of the form $x^i=r^f+\sum_{j=...
2
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25 views

Implying a required rate of return on an option from the required rate of return on the underlying

Is it possible to imply a required rate of return on an option from a required rate of return on the underlying? For example, given a known cost of equity, can you calculate the required rate of ...
2
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0answers
64 views

CDS pricing using intensity models incorporating liquidity

I want to price a CDS using an intensity based model, but I want to account for liquidity as well. General model: The default time $\tau$ is the first jump time of a cox process, and the survival ...
2
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0answers
41 views

About buying and selling a cumulative parisian options

I ask my question here because I want to know more about the cumulative Parisian options introduced by M. Chesney, Mr. Jeanblanc-Picué and Mr. Yor in 1997, then developed by Hugonnier in 1999 and F. ...
2
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0answers
775 views

Multi-currency CSA discounting curve construction

I have a number of eur/usd and gbp/usd MtM Basis swaps that are collaterized in USD. For the non-usd legs I'm constructing the muti-ccy csa discounting curve. Im using forwards for the short end of ...
2
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0answers
2k views

Pricing of European Power Call Option via Black-Scholes formula: reasoning?

I want to price a European Power Call option (without dividend yield) with payoff $\max\{S_T^2-X, 0\}$, where $T$ is the maturity and $X$ the strike. Let $(S_t)_{t\ge 0}$ be the price process of an ...
2
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0answers
54 views

Equity protection and butterfly certificates pricing

Certificates issued by famous industry names are usually made up by a combination of a fixed income instrument and some vanilla and exotic options. I am looking for something which explains: how to ...
2
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0answers
419 views

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 ...
2
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0answers
1k views

How to price zero coupon bonds with the Monte Carlo method?

Im trying to calculate monthly ZCB bond prices with a fixed maturity T, over a period of months via Monte Carlo methods. Here is my attempt: For the first month, the price is $P_{t_0}(0,T) = E[exp(-...
2
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0answers
108 views

How will the European requirements for prudent valuation affect derivatives pricing?

The European Banking authority has published the "EBA consults on draft technical standards on prudent valuation". How will these requirements for prudent valuation affect derivatives pricing, if at ...
2
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0answers
86 views

Changes to option valuation for dollar-pegged underlying

In Russia, options on futures on the RTS index are priced in points instead of currency, with points being directly related to the value of the US dollar such that, for example, if the dollar rises, ...
1
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0answers
40 views

Historical data on valuations for internet companies during dot-com bubble

I am looking for data on historical valuations for internet companies during the years of the dot-com bubble (2000 - 2002). I know that big auditors have or at least have access to such data on ...
1
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1answer
70 views

Premium of FX Option with American Barrier

I have been trying to understand how to price FX options with barriers. In Hull (Options, Futures, and Other Derivatives), there are closed formulas how to calculate the premiums of European Call and ...
1
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0answers
42 views

Using Quantlib to pricing a FR007 swap (which is compounding interest rate in floating leg)

You can treat the FR007 swap like this: The fixed-rate leg is the same as the fixed-rate leg of the LIBOR swap. The floating rate can be treated as the combination of some 3-months maturity compound ...
1
vote
1answer
140 views

Monte Carlo simulation for OTM options under stochastic volatility

I'm looking to simulate the stochastic price and volatility process (Heston model) using some form of Euler method for Monte Carlo approximation of option prices. The results that I get are acceptable ...
1
vote
1answer
53 views

Appropriateness of the Bloomberg CLO Cashflow Generator

Since CLOs seem to gain in popularity because of the COVID-19 crisis, I came across the possibility in Bloomberg to generate cashflows for newly issued CLOs through the function "weighted average ...
1
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0answers
7 views

Per-user pricing / overlapping pricing

I am releasing some educational software that can track student progress. I am having trouble coming up with a good pricing scheme. I do not want it to be too cheap for single users as there is a lot ...
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0answers
79 views

Can arbitrage arguments be rearranged to avoid selling? (Hull, Chapter 5)

Suppose forward contracts are traded on a consumption asset, so there aren't necessarily people ready and willing to sell the asset to jump on an arbitrage opportunity. Suppose the asset has no yield, ...
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0answers
54 views

Options pricing model inversion

He cited about Roll's compound formula for finding the lead-lag effects between stocks and options. I have a similar data for National Stock Exchange's Index, NIFTY but it's daily, not intra-day. I ...
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0answers
80 views

How to use quantlib Excel for valuation of european swaption with vol surface to calibrate?

I would like to replicate the following Bloomberg pricer in quantlib using Quantlib xl. Is it possible? Thanks
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0answers
159 views

Pricing of the compound coupon bond with PDE

I am now studying finance math using Steven E.Shereve's book. Using Interest Rate models, We can the price for zero-coupon with maturity price $1$ under Hull-White interest rate model[page 274] and ...
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0answers
79 views

Pricing Equity Swaptions

Consider a swaption to enter into a standard equity swap as a fixed-rate payer, equity receiver, in which the notional principal is fixed. If the strike is K. the underlying swap starts at time 0=n ...
1
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0answers
56 views

New/ relevant ways to retrieve intraday stock pricing

I am trying my best to find cheap/ free ways to retrieve and store intraday stock prices - both historically and going forward. Many of the ways I find seem to be outdated and no longer exist. For ...
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0answers
137 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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0answers
25 views

Pricing a transfer option for oil

Need some input in how to attack this problem. Given are 8 timeseries: UK Oil price, Delivery Quarter 1 2020 UK Oil price, Delivery Quarter 2 2020 UK Oil price, Delivery Quarter 3 2020 UK Oil price, ...
1
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0answers
66 views

Preferred Stock pricing model

I am trying to build a model to price a preferred stock. I want to model the dividends as random payments. I can't find any papers online on the subject. Does anyone have a reference for me?
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0answers
103 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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0answers
34 views

amount of data - option pricer calibration

A practical question. When you calibrate an option pricer (whatever the model is), do you use data from several days or just one day (last trading day)? I noted some papers use data from one single ...
1
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0answers
81 views

Bond prices tend to 100 at maturity?

Let's assume we have a fixed-income bond, which is paying a yearly coupon. For example a 3 year bond, 1% fixed coupon, issued at par. So we have at issue -> $Price=\frac{1}{(1+0,01)^1}+\frac{1}{(1+0,...
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0answers
248 views

What rate/structure to use in <yield term structure> for the pricing of callable bond using QuantLib

I am new to quantlib (actually to the fixed income universe). I am trying to price a callable bond using the CallableFixedRateBond classe of quantlib, and compare it to the market data(bloomberg). I ...
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0answers
41 views

Simulating Asset Prices by Independently Simulating Supply and Demand

If I have an asset, whose supply is generally mean-reverting and whose demand is generally cyclical, could I somehow simulate / project the supply and demand levels across multiple discrete time ...
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0answers
433 views

Risk neutral pricing - Example from a book is correct?

I found the following example in a book on Model Risk, while trying to explain how risk-neutral pricing takes properly into account the risk involved in different investments. The Example is this. ...
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0answers
94 views

Estimation of Affine Term Structure Model

In this paper the estimation of Affine Term Structure models via ML is discussed. In the Affine $N$-factors model the price of the bond is $$ P(X_t,t,T;\theta) = \exp(-\gamma_0(T-t;\theta)-\gamma(T-...
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0answers
35 views

Methodologies behind shocking a composite index instrument, what assumption distinguishes these?

Suppose I have a composite index (rebalancing or non-rebalancing) that at present time has some base value $B_{\text{base}}$ in some base economy. I am in the process of shocking the economy on which ...
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0answers
75 views

Issue on pricing bond using RQuantLib

trying to pricing a simple bond using RQuantLib, but cannot get the right values. For example, consider a bond with 2% annual coupon rate and flat interest rate of 3%, a 5 year maturity, and \$100 ...
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0answers
68 views

Is there anyone tried to use simultaneous stochastic differential equations?

I am looking for some examples or attempts of using simultaneous stochastic differential equations for financial analysis but there has been none so far. Is it just so nasty to apply such thing in ...
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0answers
792 views

PDE vs TREE vs MC vs Analytical

One what basis the pricing model can be differentiated for particular trade pricing. For exapmle why PDE or Binomial tree or MC or Analytical method will be consider for pricing any trade. Question ...
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0answers
186 views

Black Scholes Model Replicating Strategy Delta Hedged Exam Question

A share is currently priced at 640p. A writer of 100,000 units of a one year European put option with an exercise price of 630p has delta-hedged the option with a portfolio which holds cash and is ...