# Questions tagged [interest]

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### Swap curve is unsmooth at front end with naive interpolation

I am looking at swap curve building at front end and find it difficult to get a smooth forward curve with a fast generic algorithm. For example, EUR 6m curve has 6m deposit, and then a series of FRAs (...
101 views

### Day count methods and actual coupon payments

Assume I have a bond that pays 5% coupon anually on the last day of the year. The day count method used to calculate accrued interest over time is "days actual / 360". The day before the ...
107 views

With a payer swaptions delta and gamma is there a method for approximating pnl for a given move in underlying swap rate? (An equivalent to the Taylor expansion for a vanilla call) Thanks!
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### Properties of difference between continuous and discrete compounding of interest rate [closed]

The relationship between annual discrete and continuous compounding interest rates is given as: $$1+r_d = e^{r_c}$$ My question is what are the properties of the difference between $r_d$ and $r_c$? ...
46 views

### Why Bond pricing formula is changed? [closed]

When I first learn about finance, a bond with continuous yield was priced via $$Z = e^{-rT},$$ where $r$ is the yield, $T$ the time to maturity. But, when I learned about stochastic interest rate ...
117 views

### What is the cheaper IR hedge: Futures or IRS?

Let's take the following idea: Your objective is to hedge interest rate risk. You decide between Futures and IRS: You can sell bund futures (10Y bond equivalent): Price 177.70 Theoretical coupon: 6%...
118 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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### End of period balance with changing payments

I know how to calculate the end of period balance with the same payments (i use excel FV function), but how can I calculate it for different payments per yer? Currently I have: monthly contribution, ...
94 views

### Does “Interest Costs during Construction” impact NAV or IRR of a project?

Does “Interest Costs during Construction” impact NPV or IRR of a project? Companies often, based on accounting principles, capitalize Interest Costs during construction (i.e. they added fixed asset by ...
74 views

### What are “local” and “foreign” interest rate in this formula? [closed]

I found this formula to find fair value of a forex pair: FV = Spot × e(local interest rate−foreign interest rate) × T Taken for example AUDUSD, Spot is AUD per USD. T is the time to maturity of ...
24 views

### How to solve for effective interest rate of a government bond on HP 10bll+ financial calculator? [closed]

Price of bond = 100.44 Nominal coupon interest rate (compounded annually) = 1.5% Duration: 10 years Face value (what you get back after 10 years, may be poor translation): 100 Spent hours now trying ...
112 views

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### Central bank interest rates: are they quoted annualized?

After a little research on interest rates of different countries I figured out that they are more complicated than I thought and the meaning of them varies country by country. For example, the U.S. ...
88 views

### Immunization: Whats the best way to hedge my short interest rate exposure?

What's the best way to hedge a portfolio against a rise in rates? Portfolio: long bonds different maturities. a) parallel shift b) convex shift (short and long term rise more than mid term) How is ...
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### Force of Interest Compounding at Annual Rate i

I'm working through some actuarial practice and am lost as to what's going on with the differentiation here (it's been a while since I've had calc): Derive an expression for $\delta_t$ if ...
121 views

### What interest rate should I use for testing the covered interest parity?

I am doing an empirical test of the CIP from the recent financial crisis between Canada and the United States. I am using 1,2,3,6,12 month forwards (monthly data). What interest rates should I use? I ...
239 views

### Compound Interest Calculation (Years + Months)

My question is with regards to the calculation of "Compound Interest". I have the formula below where I would get an answer to the total value of the investment over a period of "years". $A$ = Future ...
48 views

### Formal Proof of Immunization Techniqu

Please correct me if I am wrong in understanding the Immunisation Technique behind bond interest rate risk management. It says that any change in interest rate can be neutralised by reinvesting the ...
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### “Equivalent” data sets despite different numbers

Are the historical data sets of short term treasury bill rates considered the same as the historical data sets of savings account interest rates because by definition they are both risk free rates of ...
958 views

### How often do banks update forward points?

My understanding is that forward rates are calculated by comparing interbank interest rates of the 2 currencies for a currency pair, with the points being the difference between spot and the forward ...
1k views

### What is lagged interest rate?

I am trying to reproduce a plot in "Statistics and Data engineering for Financial Engineering" by D. Ruppert. The author uses the risk free returns data available in the Ecdat package in R. ...