Questions tagged [forward]

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Back of the enveloppe forward irs pricing

trying to have a back of the enveloppe way of working out generic forward starting swap rates like 2y2y or 5y3y to put in a spreadsheet without too much loss of accuracy. Whats a good way to look at ...
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3answers
173 views

How can I use the Radon-Nikodym theorem to show that forward measure is indeed measure?

The following statements are taken from the Wikipedia page for forward measure. Let $$B(T)=\exp \left(\int _{0}^{T}r(u)\,du\right)$$ be the bank account or money market account numeraire and $...
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38 views

Application Itô's Lemma: Forward to Spot process

I am working on the following equation (I want to apply Ito's lemma on it): and I know that: and also and My problem is that I want the dynamic of F(S,T) without S because I need first to ...
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1answer
63 views

Difference between Price and Value in Forward and Futures

Consider forward and futures contract on a zero-coupon bond. Denote the time $t$ forward (contract) price on a $T_2$-maturity zero-coupon bond with delivery date $T_1$ as $F(t,T_1:T_2).$ Similarly, ...
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40 views

How to Calculate Discrete Currency Returns for Short Positions

I need to calculate currency returns for 1) short selling the currency and 2) going long in the currency. When going long, the currency is sold at Forward price $F_t$ and bought at spot price $S_{t+1}$...
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3answers
121 views

Are forward rates for an IRS computed between reset dates or between start dates?

In order to price the floating leg of an IRS I am computing forward rates for future coupons, but I'm not sure whether I have to compute such rates between reset dates or between start dates. My ...
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2answers
52 views

Forward swap sensitivity

How do we replicate a forward swap using ordinary swap? Do we have either sensitivity or present value on forward interest rate swap prior to the effective date?
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1answer
55 views

Simple forward price of a commodity formula

Given the spot price of a commodity C, an annual interest rate r, a time to maturity in years t, and storage and insurance cots to maturity s we can express the forward price (using simple interest) ...
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1answer
120 views

Calculate forward price based on option chain

I've got historical data for a spy option chain which looks as follows ...
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1answer
74 views

Arbitrage when discounting and forward computation is done with different curves

I notice that (equity derivatives) trades generally are priced with different forward curve and discounting curve, which clearly lead to arbitrage. Is this arbitrage value too small to be ignored? How ...
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1answer
88 views

Constructing an arbitrage opportunity for a company involving Forwards

Let's say an investor enters a long forward contract on 100 units of underlying assets $S$ and maturity $T$ = 4 years. The asset $S$ pays no dividends and the spot price of one asset is $S_0$ = £5. ...
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3answers
113 views

Future Versus Forward Price When Underlying Asset Price Positively Correlated with Interest Rate

I'm reading a book called a Practical Guide to Quantitative Finance Interview, and cannot make sense of the solution for a particular question, so I really appreciate your advice: Question: What is ...
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1answer
161 views

Forward price vs. futures price - Wilmott

I am reading Paul Wilmott's book PWOQF2, and there is something I don't get in his derivation of the convexity adjustment between forward and futures prices (chap. 30). He models $S$ and $r$ ...
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1answer
117 views

Payoff of Forward Contract

Consider the following notation: $P(T_j,T_2)$ is the price of a zero-coupon bond at $T_j$ with maturity $T_2$. $F(t,T_h,T_2)$ is the price of a forward contract at time $t$ on the above $T_2$-...
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1answer
72 views

How to change the Libor rate to Forward Libor rate in Swap?

The realised PV of a swap (notional is 1 ) is : $Swap(t)=\sum^n_{i=1} \tau_i \times D(t,Ti) \times (L(Ti, Ti, Ti+ \tau_i) - K)$ How do we get the expression with forward rate : $Swap(t)=\sum^n_{i=1}...
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0answers
76 views

what numeraire is used to price an FX forward contract

By non-arbitrage, it is easy to show the relationship between fx forward and fx spot via the domestic and foreign currency interest rates. I am wondering how we can express this in terms of the ...
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0answers
32 views

Hedged portfolio dynamics under T-forward measure

I'm looking to find the hedging PDE for a multi-currency derivative $u(F_d, F_f, X,t, T)$ under the T-forward measure, using the delta-hedging argument (F - forward rate, X - forward FX rate). ...
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0answers
40 views

Retrieve zero coupon curve from forwards

Let's suppose I am given a forward swap curve of a certain maturity (10Y). The curve is not very smooth and is decreasing but whatever. I have the curve : $S(0,t,t+T) = \frac{P(0,t) - P(0,t+T)}{\sum_{...
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1answer
72 views

What is the difference between Cost of Currency Hedging and the Price of a Currency Pair Forward?

I am looking at Reuters Datastream and all they seem to provide is the settlement price of the CME EURGBP contract (which more or less equals current spot). But what does it actually cost me to ...
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2answers
275 views

Calculating bond forward rate/price

What's the difference these two methods on calculating the bond forward rate/price. First of all I'm assuming forward rate is the same as forward price in this context, if this assumption is false, ...
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1answer
127 views

What happened to future price if rates become negative?

Imagine the spot price of a non deliverable and not paying dividend asset is 100\$. With positive rate, the theoretical formula $F = S \cdot e^{rT}$ give us a future price higher, let's say 105. If ...
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5answers
304 views

Equity Forward Price calculation

In the book of John Hull, the price of an equity forward on a dividend paying stock is formulated as: $$F_0 = (S_0 - I)e^{rT} $$ where $r$ is the risk free rate and $I$ is present value of the stream ...
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0answers
35 views

Dimension reduction for worst of basket on $min(S_1, S_2)$

Suppose we want to price an exotic equity which is a function of $min(S_1, S_2)$. To do this, I'm trying to compute an implied volatility surface for $min(S_1, S_2)$ and then price the option using ...
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38 views

Negative drift when calibrating GBM parameters

Setup for question: Consider a basket of $N$ stocks $\{S^1, S^2, \dots, S^N\}$. For fixed strike $K$, each stock in the basket, $S^i$, follows the SDE $$dS_t^i = \mu^i(t) S_t^i dt + \sigma^i(K, t) ...
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73 views

Replication of a dividend swap

I wanted to know how banks replicate dividend swap, my best guess is to take the spread between a Total Return Swap and a Forward.
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1answer
58 views

Basic FX-Forwards trading Guide [closed]

What fundamentals or other factors should one follow to trade currency Forwards intraday?
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2answers
198 views

Interest rates impact on forward prices

In stock option markets, rising interest rates will increase the froward price, causing call values to rise and put values to fall. But my understanding is that rising interest rate will cause stock ...
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0answers
153 views

Constructing USD 1M Libor Forward Curve

Hope you are doing fine. I am pricing a 1month IRS. For that purpose in order tu build the forward curve i have to use the following. Since USD 1m instruments do not exist, one has to use basis ...
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1answer
387 views

Constructing an FX forward curve

A lot of our clients are currently using interest rate parity as a means of constructing an FX forward curve. For instance, to construct the USD-GBP FX Forward curve, they are using the USD LIBOR, ...
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2answers
444 views

Forward Volatility vs Spot Volatility in Option Skew Models

My question is regarding Volatility Skew Models and their inputs. I have noticed that a vast majority of models take as an input the forward of the underlying (even in the case of stocks - where the ...
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1answer
75 views

FX Forward last day first day premium

How exactly do you trade the turn of the year/quarter effect (also known as last day-first day effect). How do you track this data, is it directly quoted in the market or is it interpolated?
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1answer
52 views

Units of measurement for Minimum Variance Hedge Ratio

The minimum variance hedge ratio is given by $h=p*\frac{\sigma_S}{\sigma_F}$. I was wondering if you wanted to calculate the S.D yourself and the spot prices were in Dollars per barrel while futures ...
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2answers
378 views

Why are FRA/futures convexity adjustments necessary?

This would be my explanation for the reason that convexity adjustments must exist: Futures are margined daily, such that if a trader is paid a future and rates goes up then money is paid into their ...
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2answers
99 views

Gold forward price

In the Hull book, i saw the following exercice and its answer : Suppose the one-year gold lease rate is 1,5% and the one-year risk-free rate is 5%. Both rates are compounded annually. Calculate the ...
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1answer
88 views

Computing FX forward returns using spot returns and an existing term structure

Sorry for the naive question, I am new to the area. I have YTD spot returns on the USD/GBP pair and a forward yield curve. How would one go about computing the forward returns in 2 years using this ...
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2answers
122 views

Strategy if dividend is lower than expected

Here is a question I encountered: In 2009, a trader believes that dividends for a stock in 2011 will be lower than expected, what is the best strategy among: long/short 2010 forward, long/short ...
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0answers
134 views

How can we value NPV for a standard FX Swap?

hope you are all well! Was just wondering how we can value the NPV on the value date for a FX swap - i'm sure it's by evaluating the interest rate payable/receivable from the trade date until the ...
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1answer
166 views

Principal Components Analysis on overlapping contracts

I am conducting several PCAs on the gas forward curves (months, quarters, seasons, calendars) for hedging purposes which give me some rather reasonable and stable results. However, these contracts ...
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0answers
91 views

value of forward contract at inception

I am reading a derivation of the forward price $F$ of a forward contract. I think the author uses a circular argument to assume that "the value of the forward at inception is equal to 0" because the ...
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1answer
118 views

Pricing an Asian style forward contract with early exercise feature

Is there an analytic way to price or approximate a contract with payout $A_t - K$, where $A_t$ is the running average price of the underlying asset from $[0, t]$ and $K$ is (fixed) strike. If this ...
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0answers
80 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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1answer
200 views

Why are interest rate swaps the most popular interest rate derivatives [closed]

Interest rate swaps are the most popular interest rate derivatives. Is there a reason why they are more popular than other interest rate derivatives (e.g. forwards, futures)? Is it because they were ...
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1answer
220 views

What is the instantaneous FX rate and used for a FX Forward?

Could someone please explain me what the instantaneous FX rate corresponds to and why it is used in the valuation of an FX Forward trade? It is defined as: FX_Instantaneous= FX_Spot-(ON+TN) where ...
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1answer
1k views

Pricing Uneven FX Swaps

I'm trying to figure out how to price uneven FX swaps. I just started on a FX trading desk and have been told that the all-in rate for a 2-legged FX swap is equal to: 1) Quote for market side of net ...
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1answer
197 views

Difference between settlement of Eurodollars and FRA

I am going through J.C. Hull's chapter on FRA and EuroDollar Futures. Taking the case of FRA. I assume $T_0$ is the time when two parties entered into a FRA to fix interest rates they get on a ...
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1answer
152 views

When to Choose FX Swap or Forward

Assume we have an exporter who is looking to hedge their USD exposure. How would they decide between choosing a FX swap or a FX forward contract to do so? I understand that a swap has 2 exchanges, ...
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0answers
241 views

Forward implied vol vs Instantaneous vol

In the Discrete Stochastic Implied Volatility Model which is from the standard Heston Model, the model shows the evolution of forward implied volatilities with time. I thought forward implied ...
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2answers
200 views

How to calculate correlation between commodities with forward prices?

I'm trying to understand which is the correct way to calculate the correlation between 2 commodities with forward prices. My idea would be first bootstrap forward prices to have only spot prices for ...
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0answers
256 views

Quanto Factor - FX Forward

In the paper Quanto Options by Uwe Wystup the "quanto factor" $Q$ is used to describe forwards/options when quanto-ed into a different currency, e.g. $$\text{Quanto Forward Value} = Q \cdot e^{-r_Q T}...
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0answers
192 views

Extrapolating implied dividend yield

I have liquid option quotes for 1, 2, 3 and 4y expiries. I was able to imply the continuous dividend yield for all of those. How would you extrapolate such implied yield to 5 and 6y expiries?