Questions tagged [compounding]
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46 questions
1 vote
0 answers
97 views
Why does the interest calculation give a different result?
I have a daily time series with interest rates and my task is to find accrued interest for a given investement amount and time period. I'm working with continous compounding and day count convention ...
1 vote
0 answers
67 views
Compounding with fixed fraction of bankroll [closed]
Suppose you have $100 But you invest 10% of in in each investment with payoffs (multipliers). that are as follows; 1, 0.9, 2 Investing 10% into 1: ...
0 votes
0 answers
85 views
How do I derive the effective rate per period for backward looking overnight interbank borrowing?
The formula for the effective rate per period (of say $n$ days) for backward looking overnight interbank *borrowing has been quoted as follows in my textbook: $$ \left( \prod_{i=1}^{n} \left(1 + \frac{...
1 vote
0 answers
85 views
Modeling compounded RFRs with Vasicek
I’m wondering if simple interest rates models, like Vasicek, could be successfully used for modeling compounded setting-in-arrears rates (compounded SOFR for example)? As far as I see I can do that ...
0 votes
1 answer
143 views
Periodic investments with compound interest: where's the mistake?
Consider two investment strategies: Every year, I have a quantity $I_a$ to invest. There is a financial object that gives an anual return of $r$, that is, after a year it transforms $I_a \mapsto rI_a$....
0 votes
1 answer
229 views
compounding in short positions
Why does compounding doesn't work in short positions? Let's say I have following mini time series 5 6 4 2.5 Returns are -20%, 33% and 37.5%. So compounding return equals to 46.67% = 0.8 * 1.33 * 1.375....
0 votes
0 answers
119 views
What is the proper way to calculate cumulative return when only a portion of the portfolio is invested?
I have a hypothetical investment strategy that returns $x$ amount after $n$ days for a $1/n$ portion of the portfolio. I want total cumulative portfolio return. Is this right? Basically, I calculate ...
1 vote
1 answer
782 views
Compounding vs Annualizing Returns in a Portfolio Optimization Context
This might be a rather basic question that might be closed... but I can't for the life of me understand why in many Google search results the annualization of daily returns is done like this: r_yearly ...
0 votes
1 answer
149 views
Monthly and annual arithmetic mean in valuations? [closed]
I know this is back to basics but I am perplexed by it!!! Assume that the future value (FV) of an investment at the end of year 1 is 112, the annual arithmetic expected return is 12%, hence the ...
1 vote
1 answer
769 views
Day Count Convention & Compounding Frequency Assumption in Interest Rate Swaps and Discount Factors
This question concerns old LIBOR Swaps where their fixed legs are based on 30/360, and floating legs on Act/360. Q1. Let's assume the simple self-discounting case where spot rates are obtained ...
-1 votes
2 answers
129 views
How should we interpret r_c in continuously compounded interest? [closed]
I'm just curious there is any useful "meaning" or interpretation we can assign directly to $r_c$. Of course one can directly calculate the non-continuously compounded interest from $r_c$, ...
1 vote
1 answer
483 views
Quantlib Yield curve and rate compounding [duplicate]
I need help in understanding Quantlib's interpretation of yield curve and rates. The rate output retrieved from yield curve differs from expectation for non continuous cases. Illustration: Let's start ...
0 votes
1 answer
314 views
equivalentRate not matching for compounding cashflows
I am calculating equivalentrate between two days in quantlib python using following functions but the output is not matching with the manual calculation. ...
0 votes
3 answers
344 views
compounding component contributions
Say I have a portfolio which contains two components, A & B. Below are the daily contributions to performance (0.02 equals 2%), where the overall portfolio return is equal to the sum of component ...
0 votes
1 answer
194 views
How to calculate the number of stocks I can buy with X dollars, if we know the exact growth rate of the stock price per dollar?
Let's say we have a stock whose price goes up at a rate (from the doubling time formula): $ r = e^{(\text{volume}/1000 * \ln(1.2))} - 1 $ (The 1 is subtracted from e^pwr, not from pwr) Meaning that it ...