Questions tagged [compound-interest]

Compound interest is the result of reinvesting interest so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

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62 views

Calculating daily yields with a different compounding interest

For simplicity's sake, suppose I have an investment that earns 1% daily return on average. The following day, that 1% earning is immediately rolled over into an account that earns 10% yearly ...
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130 views

Compound Interest Problem [closed]

Vanessa decides to invest R 140,000 into an account earning 13.5% interest per year, compounded quarterly. This new account allows her to withdraw an amount of money every quarter for ten years after ...
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48 views

How does the continuously compounded interest formula work in terms of months?

The continuously compounded interest formula is: Pe^rt Where: P = Principle e = 2.718... r = Annual interest rate t = time in years If instead of an annual interest rate, I got a monthly interest ...
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33 views

Calculating real rate after taxation - is there a better way?

First I need a sanity check for my calculations. Say I have this scenario: Nominal Rate (per year) [r] 13% Inflation Rate (per year) [i] 5% Initial investment [x] $ 100.00 Time (years) [t] 10 Tax ...
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Do I make more money if I combine 2 VTI investments (me and my spouse) into one investment?

Myself and my wife own some VTI ETF. I own more and she owns less. We are planning to make some additional monthly investments into VTI. Question -- Which account should we put more VTI in, mine or ...
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109 views

calculating stock investment return

Please help. I am stuck. I am still pretty new to investing, so please be nice and a simple explanation is much appreciated. I want to calculate the capital gains (NO DIVIDEND) annual return of a ...
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107 views

How best to maximise the compounding effect of vanguard investing platform?

I have recently put 2K into the vanguard life strategy 100% fund, which is a pre diversified fund of funds. I also drip feed this account monthly. Now I’m putting another 2K from savings into vanguard ...
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25 views

Future value with contributions NOT increased for inflation

Let's say one starts with a portfolio balance of $1,000 and wants to contribute an additional $100/year. Future returns are assumed to be 5%/year. Future inflation is assumed to be 2%/year. If he ...
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1answer
76 views

Is a bunch of debt now better than distributed debt in the future in terms of paying less in the long run?

This might be too theoretical but it popped into my head this concept for attending University/College. If you had the ability to choose one of the following which is best in terms of you paying ...
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1answer
166 views

Google Sheet formula for annualized returns - doubts

I'm trying to setup a calculator in google sheets where I calculate the future value of investing for example: a principal of 10.000 into which I deposit 1.000 every month the investment doesn't give ...
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1answer
66 views

Understanding a UK Plan 2 Student Loan Interest Calculation

I recently requested a statement from SF England regarding my student loan outstanding debt. Once I had this I was leafing through but started to become confused about their methods of calculating ...
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2answers
45 views

Proper way to annualize returns

Searching for "how to annualize interest rates" on Google leads to the following results: Wikihow's How to Annualize a Percentage Investopedia's Annualized Rate of Return Wikihow ...
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1answer
141 views

Mistake in Investopedia's article on APY?

My question is about James Chen's article on Investopedia, Annual Percentage Yield (APY), last updated on October 17, 2020. It begins by correctly stating the formula for APY: APY = (1 + r / n)^n - 1 ...
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2answers
53 views

Help Calculating Monthly Earnings with two co-existing APYs in same “Savings” Account from T-mobile Money

Background I have a T-Mobile Money (via BankMobile, a division of Customers Bank) interest checking account. I'm trying to track earnings per month but I'm a bit confused by their fine print and their ...
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1answer
34 views

Compound Profit per trade vs Time on Stocks with target profit

Any good Spreadsheets or explanation that track compound profit for stocks with time considered? I am trying to journal my stock trades and set some goals. We know compound interest is powerful. I ...
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1answer
80 views

Why articles give the stock market as an example for compound interest?

I have read a dozen or so books, including The Intelligent Investor, but I still like to read random articles about investing. I keep finding articles like this one where they give the stock market as ...
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1answer
56 views

Calculating monthly and annual payments with corresponding rate: different results?

Good evening everyone, I got a small financial problem that I tried to understand and, even though I come to the right answer, I do not understand why my alternative approach does not work. Problem: ...
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1answer
84 views

Am I using the right method for this compound / simple interest problem with annual deposits?

I am trying to solve the following exercise: A bank account is opened at the beginning of the year 2013 by making a one-off deposit of £1000. A further deposit of £200 is made at the beginning of each ...
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1answer
248 views

Cannot understand the 10 year VTI growth chart on Vanguard

The image below shows the performance of Vanguard Total Stock Market ETF (NYSE Arca: VTI). I cannot understand how $10,000 becomes $34,070 after 10 years with a 10-year return of 12.80%. Shouldn't it ...
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2answers
186 views

EU APR calculation, solving for APR

I'm looking for some help with a finance homework. We've been given the FCA calculation for APR: Source: https://www.handbook.fca.org.uk/publication/handbook/graphic/13449.png We've also been given a ...
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1answer
54 views

Interest Rate Interpretation

If someone says that the six month interest rate is 5% quoted for an act/360 daycount with semi annual compounding, this means that the amount to pay on a loan of $1 to be repaid in a year is 1.025^2, ...
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3answers
468 views

When computing monthly interest, why do we divide yearly interest by 12, rather than taking the 12th-root?

I've been reading about loans and interest rates, and I've run across a mathematical sticking point. The crux is that, if my loan's outstanding balance is £100,000, I make no payments, and it has an ...
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70 views

How do you treat interest (both simple and compound) earned on cryptocurrencies?

Currently, on an exchange platform, I am pledging about 10 BCH (approx. $2800) which should earn interest p.a. of 8 % paid out every three months. The interest is paid in BCH, meaning that 8% of 10 ...
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2answers
272 views

Index fund question regarding Vanguard 500 Index Fund Admiral Shares - compound interest

I created an account with TDAmeritrade and started investing in VFIAX(Vanguard 500 Index Fund Admiral Shares) three years ago. At the time, I thought that I am investing in an index fund. However I ...
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4answers
438 views

Why do banks pay a compound interest on deposits instead of simple interest?

Why do banks pay a compound interest on deposits? Obviously they'd be better off paying a simple interest instead, which would still be attractive to their customers. However I figured that in such a ...
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2answers
109 views

Is there a concept similar to “continuous compounding” but related to dollar cost averaging when buying (e.g.) shares or bitcoins?

I know that dollar cost averaging (DCA) is "drip feeding" a total amount to be invested over regular intervals like daily, weekly or monthly, so that each share purchase (or whatever the ...
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2answers
44 views

Calculate term of mortgage based on monthly payment value

Using the PMT formula in Excel, I can calculate the monthly payments based on the interest on the loan (e.g.2%), the principal value of the loan (e.g. £100,000), and the term of the loan (e.g. 25 ...
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1answer
327 views

Calculating the compounding interest formula for an overnight rate

I am VERY NEW to all this industry, so I apologize in advance if my question is too simple. I am given the formula to calculate the compounded rate, where Ri is the effective rate and k is the ...
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2k views

Inflation and the current value of my dollar

I am trying to figure out the value of my $100 with a hypothetical 2% constant inflation rate after 30 years. Here is the scenario: suppose I have $100 laying under my bed and the hypothetical ...
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1answer
108 views

Is it good to invest in mutual fund during the down time in market?

Say there is a mutual fund and its annual return in the past 3 years i.e. 2017, 2018, 2019 were -10%, +20%, and -10% respectively. A and B invest $100 in this fund at different time points. A ...
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1answer
80 views

Can I renegotiate desirable rates and terms on a paid-off credit card?

I would like to keep and use my business credit card, but I do not need it. I paid off around $10k today which took my balance to zero, now that my 0% introductory rate has ended. (The card is around ...
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23 views

How much benefit we earn with no cost emi on CC

I am thinking to take a policy on no cost emi of CC. I want to find money I saved annually by opting to no cost emi against paying all premium lumpsum at the start of the year. I want to consider ...
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2answers
64 views

Find ending balance given return rate and amount added each year

If I have an investment that grows 10% per year, and every year I add an amount, is there a formula that can be used to find my ending balance after n years? The following demonstrates this: year 0: ...
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1answer
56 views

Average Yearly Return: is this correct?

If an initial investment of 100'000 results in 200'000 after 10 years (including the initial investment), is it correct to say that the investment has returned on average 10% per year? I am guessing ...
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1answer
412 views

Compound interest rate

Given annual interest rate r_ann and n compounds per year, why do we use the formula (1+r_ann/n)^tn rather than (1+r)^tn given r = (1+r_ann)^(1/n) - 1.
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How does a break in contributions (eg. working holiday) affect superannuation over time?

I'd like to better understand how a break in superannuation contributions during a working holiday affects the long term balance. Say I'm 35 years old and accumulated $100,000 AUD in Australian ...
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2answers
91 views

Buy and hold to mitigate taxation

Today I came up with a reason why selling stocks too early might be a bad idea: Imagine that we invest $100 in stocks. If we assume a constant annual growth of 10% the after say 50 years, we would ...
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2answers
67 views

Calculate hypothetical stock value in n years at todays' dollars? [closed]

I'm new to investing. If I buy hypothetical stock that meets this criterion: 100 shares at $100 per share Shares increase in value by 10% per year Inflation is 2% per year In today's dollars, what ...
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2answers
118 views

How has the modern era of low dividend paying index affect the principles of compound interest?

From my understanding: *To keep it simple, we will keep the asset as index S&P500, not including asset allocation. Compound interest (or compounding interest) is interest calculated on the ...
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2k views

How to calculate savings account interest if you deposit and withdraw irregularly?

It's easy to calculate interest on a fixed principal. If you have for example $1000 deposit on your savings account and the rate is 0.25% compounded every whatsoever and you want to know how much is ...
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1answer
128 views

Are Offset Accounts OR Paying of Mortage Going to Give Me a Better ROI

I've been looking into my finances lately (I am an armchair finance person). And it looks to me, that my return on investment isn't going to be the same, if for example, I put $12000 in an offset ...
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3answers
574 views

How do compound interest calculations interact with penny round-off?

[As I have very little experience on money.SE, I welcome feedback about the following question, in addition to any answers of course.] The balance on a loan or deposit is always reported as an ...
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4answers
421 views

What formula can I use to calculate compounding interest with recurring investments?

Assume I am saving X dollars per year every year, and every year I earn 10 percent on what I saved the previous year. e.g. if I am saving 100 dollars every year I would see the trend: 100, 210, 331, ...
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152 views

Interest rate quoting conventions in financial markets

I'm aware that there exist different day count conventions for rates depending on the market but I'm still confused when it comes to the way interest rates are quoted on the market. Example if LIBOR ...
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1answer
212 views

How is interest calculated on a UK type 1 student loan?

On my student loan annual statement it says The Student Loan Company applied interest to my balance every month but only received one lump sum payment at the end of the year from HMRC, even though ...
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2answers
155 views

Calculating Annuities With Different Compounding period and Interest Period

Can anyone Help me solve this? In July 2010, Mike deposits $100 semiannually into an account compounding quarterly at 7% nominal annual interest for three years. In July 2013, he increases the ...
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1answer
68 views

Is there a general term for the increased impact of annual management fees, on investments with a positive return?

In conversations with friends, they are often very surprised at the net difference between the total of two investments with identical positive returns, which can be attributed to different annual ...
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1answer
79 views

How do I calculate an average monthly income, with accurate yields, from dividend stocks paid quarterly and monthly?

I have a column that has evolved over months and I have another spreadsheet with my positions (my stocks, # of stocks, dividends payout and dividend yield). Those won't move. However, some of my ...
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2answers
396 views

What compounding frequency should I choose for this retirement calculator if I invest not in bonds, but in S&P500

I am trying to use a retirement savings/investment calculator using this: https://www.getsmarteraboutmoney.ca/calculators/compound-interest-calculator/ I chose initial investment of $1500, monthly ...
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1answer
51 views

How to calculate equivalent interest rate of gains with monthly contributions?

I started the year with a known amount of funds in my account and I make regular (assume equal) monthly payments into the account. I know how much my gain/interest for the year is. I believe the ...