# Questions tagged [spot-rate]

The tag has no usage guidance.

47 questions
Filter by
Sorted by
Tagged with
39 views

### Deriving instantaneous forward rate from spot rates/ zero rates

i have the following problem. I have a set of spot rates /zero rates $\{(t,r_t)\}_{t=1}^n$ where $t$ is the time and $r_t$ is the zero rate. How can i calculate with this data the instantaneous ...
49 views

### Is there a name for the common class of instrument which Spots and Forwards belong to?

I'm doing some database design where I'm modelling Forwards and Spots. They share the same schema, the only difference is that Spots have a settlement date of the time they were created at, while ...
45 views

### Implication of Humped Spot Curve on future spot curve(s)

I'm currently implementing a G++ model (Two Factor Hull & White model with constant parameters) on zero curve bootstrapped from USD IRS. Currently, USD IRS is humped at 30 years; swap rate goes up ...
37 views

### Total return of a bond using spot rates

Suppose that the current spot rate curve (annually compounded) is s1=0.2%, s2=0.8%, s3=1.2%. Assume that one year from now, the spot rate curve will be s'1=0.8%, s'2=1.4%, s'3=1.8%. Consider a 3-year ...
74 views

### FX spot distribution with student-t returns

If I am modelling my returns as $\sim N(0, \sigma^2)$, then I can evolve my spot distribution as: $$S_{t} = S_{0}e^{(\mu - \frac{1}{2}\sigma^{2})t + \sigma dW_{t}}$$ where $S_{0}$ is the spot, $\mu$ ...
289 views

### Bootstrapping OIS curve

I am trying to get a zero curve from a series of EONIA-based OIS rates with Quantlib. When comparing my output with Bloomberg, I find some differences (see at the end of the question), and and I don't ...
64 views

### Reliable weekend forex source that can act as credible data for Monday APAC morning forex trade

In general most of the forex market closes by 10:00 pm london time on Friday and opens back on Monday morning APAC time , somewhere around Sunday evening London time. I am interested in knowing if ...
76 views

### Spot rate investment horizon

I'm learning about spot rates from Financial Mathematics for Actuaries and something about the definition is confusing me. Spot rates are used (in the textbook) to specify the interest rate on a ...
776 views

### Pricing IRS: bootstrapping zero rate (spot rate) from the swap curve

I would like to ask about swap zero curve calculation algorithm used by Bloomberg. Below is a plain vanilla EUR IRS. I want to calculate >= 2 year spot rates from the market rates. I don't know how to ...
157 views

### Link between spot and forward rates in no-arbitrage world

With reference to the forward exchange rate definition, let be: $S$: the spot rate $F$: the forward rate $r_d$ and $r_f$: respectively the domestic and foreign interest rates $DF_d$ and $DF_f$: ...
289 views

### Bloomberg SWPM Zero Rate Curve Conventions

Referencing : Bloomberg SWPM: Day count to calculate discount factor for US0003M Hi, I have a hard time reproducing the conversions between Discount factors and zero rates for an XCCY Swap I have ...
51 views

### Spot Rates on Treasuries

I am trying to find the spot rates for 1mo, 3mo, and 6mo tbills. This would just be their yields as listed on the treasury website, correct or am I missing something?
177 views

### For which would you expect the liquidity on instrument X to be the greatest: its spot, future, option or swap?

Would like $X$ to remain general, but if needed, let's say GBPUSD Exchange Rate. By liquidity I mean overal market volume across exchanges / ease of opening and closing positions / total notional ...
834 views

I am currently reading "Deviations from Covered Interest Rate Parity" by Du et al. When establishing deviations from CIRP they consider transaction costs as follows. "We assume that the transaction ...
161 views

### Calculating theoretical spot rates of treasury bonds beginning with treasury bills

In Introduction to Fixed Income Analytics by Frank Fabozzi, p. 41, there is an example how to calculate the theoretical spot rate of a 1.5 year treasury bond with a 3.5% annual interest and semiannual ...
91 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 ...
33 views

### Retrieve SYC from Par yields

Currently studying about fixed income and the construction of the Spot yield curve, but I do not know whether my intuition is right. Suppose we have a firm that has traded Bond for different ...
2k views

### Calculating spot rates from forward rates

I am working on a problem where I am trying to calculate the forward rates from two different spot rates. I have the following: ...
102 views

### Generalization of Macaulay/modified duration under non-parallel shift of spot curve

The generaliztaion of Macaulay duration (which is defined in terms of yield to maturity) is known as Fisher-Weil duration. How is Fisher-Weil duration or modified duration defined under non-parallel ...
264 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 ...
54 views

### Valueing a Short future contract with dividens [closed]

A forward of an underlying paying a yield $q$ can be priced with the equation: Price $= S_0 e^{(r-q)*t}$ or Price $= (S_0-I)e^{rt}$ Where $S_0$ = Spot price, r = interest, q = dividend yield, I = ...
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 ...
799 views

### How do I calculate the spot rate?

How can I calculate the rates to construct the curve? I was thinking to use the formula converting par yield to spot rate, but I am not confident about it. Please give some hints or working on how to ...
1k views

### Implied AUD Interest Rate from USDAUD FX Swap and USD Interest Rate

Can someone help me understand how to derive the implied interest rate or spot rate in BBG FXFA? I actually get why the Forward rate, F_Ask and F_Bid are derived using the formula in the picture. ...
773 views

### Why do par-yield shifts grow faster across the curve than spot-rate shifts when looking at key-rates?

Consider the following 10y key-rate shifts of bond par yields and its implied shift of bond spot rates: Assume we have the key-rates for 2y, 5y, 10y and 30y. The y-axis is in basis points, and the x-...
97 views

### Physical trading spot transaction analysis-Quantified

ref to my previous question here: Physical commodity trading quantitative risk return model I am currently new to commodities and physical trading. I have currently narrowed down my area of analysis ...
758 views

### Bloomberg zero rate calculation using shift

I used Bloomberg to calculate a zero rate under a parallel shift of 100 basis points, however I can not understand the results neather duplicate them. I included the +100 basis points by using the ...
330 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 ...
531 views

### Structured product sellers and div swaps

From a Barclays primer on dividend swaps: We note that for shorter periods of time, implied dividends can be more volatile than spot as dividends often trade away from ...
669 views

### CIR discretization Milstein scheme

The CIR model for spot rate $r_t$ is: $$dr_t=(\eta-\gamma r_t)dt+\sqrt{\alpha r_t} dW_t$$ where $\eta, \gamma, \alpha$ are constants. How to express this SDE in discrete form using Milstein scheme? ...
952 views

### Is LIBOR a spot rate?

Can we use USD LIBOR as spot rates for discounting? If we have overnight LIBOR and say 1 month LIBOR how to compute 16 day LIBOR? Can we do interpolation?
379 views

### Riccati Equation in spot rate model

Given that $dr=(\eta-\gamma r)dt+\sqrt{\alpha r+\beta}dW$ Let $Z(r,t)=e^{A(t;T)-rB(t;T)}$, \begin{matrix} \frac{dA}{dt}=\eta B-\frac{1}{2}\beta {{B}^{2}} \\ \frac{dB}{dt}=\frac{1}{2}\alpha {{...
113 views

### Are forward rates starting at observation date spot rates?

In part 3.2 of Lu and Neftci (2003) "Convexity Adjustments and Forward Libor Model: Case of Constant Maturity Swaps", the authors propose a new way of pricing CMS swaps, with Monte Carlo simulations. ...
603 views

### Predicting the Future FX Spot Rates

Say I need to predict what the spot rate between USD and CAD will be in 3 months. What will be the most accurate measure or model that I could possibly use? Does the 3 month forward rate necessarily ...
56 views

### Is there a limit to the number of Spot rates than can be calculated from Par Yields

I am just trying to calculate Spot Rates from Par yields. I find that the code below gives very similar spot rates for the data here, yet if I increase the size of the ...
89 views

Are there any studies on the average difference or ratio between Settlement (execution price) and the Spot price dependant on lot size. I'm looking for a function such as ...
922 views

This question might appear trivial to many (considering the questions on this site), but I think it reflects something fundamental that I am missing. To keep things simple, assume everyone is risk-...
73 views

### How should I use central banks rates in order to compute 2-day forward exchange rate on EURUSD

Good morning, I would like to compute a 2-day forward exchange rate on EURUSD. For that, I have historical data on EURUSD spot price, and I know that theoretically, when maturity is T we have : $F_0$...
292 views

### Zero coupon bonds [closed]

Assume the zero-coupon bonds from 1 year to 4 years are all available, and the current 1-year, 2-year, 3-year and 4-year spot rates are 4%, 5%, 6% and 7% accordingly. Interest rates are annually ...
71 views

### Incorrect characterization of spot rate?

Is the t in the red boxed $R(t,T)$ supposed to be the same as the S in the green boxed $R(S,T)$?
113 views

### Build spot rate curve with multiple treasuries for each maturity

I have the following treasuries: T 0 1/4 01/31/15 at 100.1236 T 2 1/4 01/31/15 at 101.1257 T 0 1/4 02/15/15 at 100.1251 T 4 02/15/15 at 101.9994 T 11 1/4 02/15/15 at 105.6269 T 0 1/4 02/28/15 at 100....
292 views

### Future spot price versus current forward price

Which are the two conditions necessary to claim that the future spot price will have as many chances to be above or below the current forward price?
2k views

### forward vs spot simply-compounded spot interest rate

Question about forward vs spot simply-compounded spot interest rate.Some definitions $P(a,b)$ a zero coupond price at time $a$ and maturity $b$ $L(a,b)$ simply compounded spot interest rate set at ...
2k views

### Interpolating spot rates given intermittent coupon-bond prices.

I'm trying to bootstrap spot rates given coupon-paying bond data. To simplify my problem, assume we are working with only 3 given data, the price/coupon rate on semi-annual bonds maturing in 0.5, 1, ...
35k views

### Calculating spot rate of interest

You are given the following information regarding the domestic government fixed-interest bond market: The current price of a one-year bond paying coupons at a rate of $4.5$% per annum and redeemed at ...