Questions tagged [interest]

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84 views

analytical formula for FV of fixed rate of a IRS [closed]

IRS plain vanilla - expiry in 5 years - principal is 1$ - semianual payment How could the analytical formula be derived for the fair value of the fixed rate (initially no value of the swap)?
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47 views

Sharpe Ratio and interest rate

The Sharpe ratio is calculated as the ratio between the return and the volatility. Now, when I have a trading strategy that requires to be invested sometimes and to be flat other times, I assume 0% ...
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0answers
41 views

cashflow for floorlet option on 1 month Libor under Vasicek

I have to figure out the cashflow for a floorlet option written on 1 month Libor under Vasicek model by considering yield curve power series expression and bond pricing equation: Has anyone an idea ...
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Does Vasicek interest rate model had any derivation that follows from a list of assumptions?

I can't find that anywhere online and It doesn't seems to me that this model originated come from intuition or some human motivation but rather it is coming from computerized curve fitting as all the ...
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2answers
248 views

OIS, Fed Funds Rate and Working

I'm a bit confused about OIS. Is OIS the overnight interest rate or is it a swap. If OIS is the rate at which banks lend overnight, where does the swap come in? Don't they borrow at a fixed rate? ...
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3answers
143 views

Can you model the LIBOR rate as a geometric Brownian motion?

i.e. The LIBOR rate is driven in the same way as a stock price in the Black Scholes model. For example let $R_t$ denote the LIBOR rate at time t. the stochastic differential equation (sde) would take ...
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1answer
59 views

Why do most interest rate formulas, and indeed finance in general, add 1 to a rate and then subtract afterwards? [closed]

For example, in the formula that shows the relationship between the nominal and effective interest rate shown below, 1 is first added to in/m and then 1 is subtracted from the result. What is the ...
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1answer
240 views

Increasing Annuities [closed]

Olga buys a 5-year increasing annuity for X. Olga will receive 2 at the end of the first month, 4 at the end of the second month, and for each month thereafter the payment increases by 2. The nominal ...
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1answer
304 views

taylor expansion in compounded interest [closed]

You invest $1, 000$ dollars for $10$ years at a $5$% yearly interest rate. After each year the interest paid is reinvested at the same rate. (a) Represent the total amount A after ten years in the ...
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1answer
120 views

How are LIBOR rates beyond 12M arrived at? [closed]

I understand LIBOR rates quoted on a daily basis upto 12 M tenors. But how are rates beyond 12M tenor estimated. I got this question from an interviewer.
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1answer
329 views

Short-Interest Rates Models - Geometric Brownian Motion?

in a paper of Brennon&Schwartz (1977), they model embedded bond options by using an stochastic interest rate model which follows a geometric Brownian Motion. Now they claim that this assumption ...
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1answer
89 views

Variable Loan Interest Question

I have been attempting this question a few times over the past few days but can't seem to make any headway on it. Any help would be greatly appreciated. A loan of €L was to be repaid over a twenty-...
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2answers
131 views

How is the spread between the US-10 T-bond and the Fed funds rate determined?

In 2015 the Fed funds rate was 0.24%, while the US Treaury 10-year government bond was 2.24%. How is the spread determined? Is there a formula to determine the spread of the US-10 T-bond and the Fed ...
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1answer
3k views

Interest rate implied probability of default

Is there an equation or rule of thumb to determine the probility of default for a loan with a specific interest rate? Let's say, a bank offers a company a loan with an interest rate of 6%, by which ...
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1answer
6k views

Calculating the net interest income and net interest margin

The tabel below contains financial statement information from the CBA 2013 annual report. I am asked to find the Net interest income and net interest margain: My answers are as follows: Net ...
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2answers
36 views

I need a low volatility asset that gives an interest/dividen [closed]

I have some cash that needs to sit on an account for some time (less then a year, where I will withdraw an amount every month). I need them in a fixed price/low volatility asset that gives an interest ...
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1answer
472 views

What if: Negative interest on an overdrawn bank account?

Theoretical question: Consider if a bank account had a -12% yearly interest rate, and an account was currently overdrawn to a balance of -$100. What would the bank do to the -$100 balance after one ...
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0answers
308 views

US Rule versus Actuarial Method for calculating interest

I'm trying to understand the difference between the actuarial method and the U.S. Rule for calculating interest. I think the difference is that the actuarial rule adds unpaid interest to the principal ...
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1answer
886 views

Calibration of 1F Hull White short-rate model to market data

I want to calibrate the Hull White 1 factor short rate model to market data. The main purpose is to simulate interest rate paths, which I will use to calculate the net pv of banking liabilities. Some ...
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2answers
321 views

Relationship between interest rate and corporate bond yield?

I have been reading articles on liability driven investing, a technique used to increase the correlation b/w assets and liabilities of a pension plan. It appears that they use AA rated corporate bond ...
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1answer
131 views

Compound interest calculator solving for time with deposits [closed]

I am attempting to solve a compound interest calculation for time given Principal = 100 Time(years) = t Rate(per year) = 8% Deposit(per month) = 5 Total = 300 I ...
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3answers
688 views

CIR model and calibration

I am new to quantitative finance. We know that in the CIR model the short rate can't go negative. My question then concerns calibration of CIR to a ZCB yield curve. Is it (and why?) possible to ...
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1answer
1k views

Is there any template of hull white one-factor calibration model?

Recently I would like to look for excel template of hull white one-factor calibration model using swaption data for my urgent task? However, it seems that I cannot find suitable one in the web. ...
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2answers
651 views

Interest Rate Risk - The Greeks

IR Delta and Gamma. Can someone please explain if my understanding is accurate as relates to a 2yr interest rate swap? You are considered to be long Delta in an interest rate swap if you are ...
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1answer
38 views

Compound and continuous interest in the context of debt

I'm trying to figure out the concepts "compound and continuous interest". This article explains the material very well in the context of a savings account. However, I find it difficult to transfer my ...
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1answer
514 views

Why QuantLib assumes zero rates to discount factor is continuous?

https://github.com/lballabio/QuantLib/blob/0ec43027834220baf0a554d68de79a159a2c5489/ql/termstructures/yield/zeroyieldstructure.hpp ...
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2answers
79 views

How do we include inflation in our calculations? [closed]

How do we include inflation in our compound interest calculations? E.g. if we have current principal of 1000$ and the interest rate is 3% after 10 years we have <...
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1answer
4k views

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. ...
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1answer
86 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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2answers
55 views

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 ...
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2answers
116 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 ...
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2answers
136 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 ...
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0answers
47 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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3answers
267 views

Is an economy where money yields interest able to be sustainable and healthy? If yes, how?

There are two points that concern me Loans If someone takes a loan of let's say 1000\$, he has to pay back the money with 5% interest, i. e. 1050\$. But where do the 50\$ come from? They didn't ...
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2answers
561 views

Intuition behind interest rate models

I am modelling the 3M yield of US Treasuries using an ARMA/ GARCH approach. Most interest rate models (e.g. Vasicek) describe the process as follows: $r_{t}-r_{t-1} = some ARMA+ \epsilon_t $ ...
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1answer
64 views

“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 ...
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3answers
808 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 ...
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1answer
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. ...
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0answers
62 views

Should portfolio be optimized by marking to the future than marking to market (excluding currencies)?

Observing the negative interest bonds in Switzerland, Denmark, GErmany the value of higher presently (credit-free) outgoing cash flows seems less important than the value of lower future (credit-free) ...
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1answer
378 views

Is inverted Japanese style curve persistent when negative rates are real / market - observed?

Are the inverted (Japanese style) governmental yield curves being a sign a recession/credit risk or should they be modelled as being due to a lack of liquidity? (...with such curves evolving into a ...