Questions tagged [forward]

A contract between two parties to make a transaction at a specified future time.

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1answer
308 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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114 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
526 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
606 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
2k 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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2answers
320 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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3answers
419 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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316 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
407 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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1answer
432 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
243 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?
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232 views

Stock forward price argument

Hi I am strangling to understand where is the mistake with the following strategy. Can anyone help me with the following argument? Assuming a stock price follows geometric Brownian motion then the ...
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3answers
2k views

Valuation of open FX-Forward

So called closed FX-Forwards are well known forward contracts where some amount of foreign currency is bought at a specified date in the future for a price fixed "today". Such contracts can be ...
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2answers
1k views

Futures and Forward Prices vs interest rates

Textbooks usually state that if an asset's prices are positively correlated with interest rate movements, then its Futures price is going to be greater than its Forward Price assuming the same ...
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168 views

Forward spot calculation for a dividend paying no-short sell ETF

I am trying to fit an implied volatility curve for options on the SSE 50 etf that has no borrow (no short selling allowed) and pays a single annual dividend. I originally thought I could use the ...
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1answer
220 views

Why is the value of a forward contract discounted to the present value?

I'm not sure if this question has been asked before, but it's a simple one. Let's consider a Forward contract on a non-income paying investment asset. We know that the Forward price on such an asset ...
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120 views

Financing of an equity forward

How reasonable it is to assume that the forwards (implied through call-put parity from European options) on easy-to-borrow European stocks will "grow" at Euribor/Eonia rate? In other words, is it ...
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1answer
5k views

MtM of FX Forward

I had a look at pnl calculation of FX forward but it didn't quite match my question. Say $X_{t,\tau}$ is the USDJPY FX Forward Rate as seen at time $t$ for expiry $t+\tau$. So $X_{t}^{spot} := X_{t,0}...
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1answer
273 views

Index implied repo gerater than the stock repo

I've observed that the repo rate implied from options on Euro Stoxx 50 is significantly higher than the repo rate implied from options on individual stocks that are constituents of the index. This is ...
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258 views

Reason for choosing the T-forward measure to calculate expected value of forward curves

Setup I read that when simulating forward curves $(r_t(s_i))_i$ at some future time $t>0$, one is supposed to center them not around $F(0;t,t+s_i)$, but around $$\mathbb E^{\mathbb Q_{t}}[r_t(s_i)]...
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1k views

how to simulate FX forwards

My question is how to do Monte Carlo simulation for FX forward contracts. Just imagine you have bought a bunch of FX forwards (in various currencies and various tenors) for hedging purposes and you ...
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83 views

Different versions of Put-Call Parity

Why is it stated sometimes that $C - P = F$ and in wikipedia it statest that $C - P = D(F-K)$, where D is the discount factor and K is the strike (of both the call and put?). Is this just affected ...
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162 views

why do forward contracts have varying sensitivity to yield, but futures contracts do not?

I just watched https://institute.cmegroup.com/courses/introduction-to-eurodollars/modules/understanding-convexity-bias as I understand it, if the yield rate of a futures contract increases, the price ...
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1answer
5k views

Mark to market forward contract

(All prices are in $) Say that at time $t=0$, $A$ goes long a forward contract with maturity $T$ on an underlying asset $X$ with forward price 100 \$, that is, $A$ agrees to buy $X$ for 100 \$ at ...
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179 views

Modelling roll-over and roll yield in a forward strategy

This is a post which serves as a follow-up question to Nature of short VIX strategies. I am trying to understand where the change in value in a synthetic strategy constructed from futures comes from: ...
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1answer
547 views

Confusion in forward contract pricing on a stock using the binomial model

In the financial engineering course I am taking we are studying how to use the binomial model to price derivatives, one of which is the forward. For this question it is related to a forward contract ...
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2answers
210 views

Nature of short VIX strategies

By now, we all pretty much know that the recent upsurge in the VIX Index caused the spectacular failure of some Exchange-Traded Products (ETPs) or Exchange-Traded Notes (ETNs) written on it. An ...
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1answer
338 views

Spot-Forward Relationship - Proof

Does anyone know of a decent proof for the spot-forward relationship of a currency? I've been looking on Google for hours and I'm not getting anywhere. My lecture notes are useless in that they don't ...
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2answers
944 views

Properly interpreting LIBOR curves?

I have a confusion regarding LIBOR curves. I understand what LIBOR means, but what exactly is meant by a LIBOR curve? I would imagine a curve where on the x-axis is time and y-axis the 6-month LIBOR ...
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325 views

Long term equity repo

Let's assume I have various European stocks and would like to somehow estimate their long-term (5y+) forward prices. As for repo rate for each individual stock, is it reasonable to assume that its ...
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1answer
464 views

AUD Forward Rate Agreement and Forward Curve Bootstrapping

The pricing between an Australian Forward-Rate-Agreement is different compared to the US one. The question is whether this is somehow included already in the Quantlib? Also how does it compare to the ...
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2answers
102 views

What is the optimum hedge ratio when trying to hedge one underlying security with another which is similar in natural?

The question is specified as hedging exposure to oil prices using forward contracts on oil) My idea is that we can just purchase one forward contract for each asset,then it should be perfectly hedged, ...
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1answer
287 views

What is the dollar zero rate and the foreign zero rate?

These terms are used in a proof that the forward price of a foreign exchange pair (where the base is USD) at time $t$ is $X_t \cdot e^{(r_s-r_f)(T-t)}$, where $r_s$ is the dollar zero rate and $r_f$ ...
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1answer
107 views

Role of next month's dividends in forward pricing

I'm using the equations given on this page to price forwards on an equity. It's a basic equation that discounts dividends. But my question is: What do we do about dividends that occur after the ...
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1answer
4k views

How to compute the forward price using a replicating portfolio?

I post this question here as I didn't receive an answer in the Mathematics community. I am trying to understand how replicating portfolios can help us determine fair prices. Suppose we have a 3-year ...
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1answer
385 views

Price series for an FX forward contract

Let's assume I am buying a NZD/USD 1Y forward for $1000000 on the 20/02/2017. The NZD/USD 1Y forward point is currently -270 and spot rate is 0.8325. (Example taken from here). Now I want to have a ...
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770 views

Dividend yield for an index

Let's say we want to price an option and so need a dividend yield to plug into Black-Scholes. We can compute an implied dividend yield for a stock using: $$F=S_0 e^{(r-d)T}$$ and by isolating for $...
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308 views

Decreasing Forward FX rate curve

i've constructed a Forward FX curve using the formula: $F= Spot \frac{(1+I_b*n/N)}{(1+I_c*n/N)}$ when i get these Forward rates for 1 month, 3, 6 till 1 year i got a decreasing forward Fx Curve How ...
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8k views

Relationship between forward and option prices

Do forward prices factor into option prices at all? It seems to me from Black-Scholes that you just need a spot price and interest rate r. I understand that $F_t = S_0 e^{r t}$, but I don't know if ...
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1answer
217 views

How to regard foreign currency forward as foreign and domestic bonds on VaR

In John Hull's book Options, Futures and Other Derivatives 9th page 507 We want to calculate the VaR of a ...
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1answer
668 views

How to calculate the yield of a forward bond price from the zero curve

We want to use the Duration to convert forward price volatility to yield volatility with ...
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1answer
123 views

Some questions on (re-)pricing a forward

A few questions and my answers, to be sure I understand everything Question 1 Suppose A and B agree on a forward contract: maturity $T = 1Y$ spot at $t=0$: $S_0=100$ forward price $K = 120$. ...
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1answer
312 views

Traders view on hedging of FX Futures with FX Forward

I would like to get a trades view on hedging a FX Forward with a FX Future by just moving the (1) FX_Spot rate and ignore the other risk factors (2) ccy1 DV01 risk, (3) ccy2 DV01 risk, (4) basis swap ...
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1answer
286 views

Up-front settlement of forward contract

One has entered a forward contract to purchase oil at $F_{t,T} = S_{t}e^{(r_f + s - c)(T-t)}$. The contract is entered at time $t$ and executed at time $T$. Where: $S_{t}$ is the spot price at time $...
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2k views

Why a Target Redemption Forward cannot be used as hedging instrument?

A Target Redemption Forward (TARF) allows you to buy or sell foreign currency at an agreed “Enhanced Rate” for a number of expiry dates. But why can't a Target Redemption Forward (TARF) be used as a ...
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2answers
2k views

"Forward price of bond" VS "Price of a bond with a future settlement date"

What is the difference between 1) computing the 'forward price' of a bond at a future time T. ( spot price - carry, involving repo rates) 2) computing the price of a bond (discounting all cash ...
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1answer
85 views

Integrating Interest and Dividend Functions

How are interest rate and dividend functions integrated over time in practice? For example, what does it mean in practice to discount a current price by $e^{\int_{t_m}^{T}r_s ds }$ where $r_s$ is the ...
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128 views

Are futures/forward contracts tradable in the middle of its life? If yes, how?

I think I'm having some trouble understanding what trading futures/forward contracts means. Assuming a market over the period $[0,T]$, for a European contingent claim $X_T$, my naive understanding is ...
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1answer
4k views

T-Forward measure

Ref: https://en.wikipedia.org/wiki/Forward_measure I am trying to understand how to move from risk neutral measure $Q$ to T-Forward measure $Q_T$. It appears we can move from one measure to another ...
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1answer
486 views

Stochastic Interest rate spot forward relationship

For a stock that pays no dividends, and has constant interest rates, I know that the relationship can be described with: $F(t) = s(t). e^{r(T-t)}$ F(t) = Forward price, S(t) = Stock price, r = risk ...