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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2answers
28 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
53 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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3answers
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 that laying under my bed and the hypothetical ...
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1answer
68 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
48 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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21 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
55 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
53 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
378 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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0answers
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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
88 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
61 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
108 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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3answers
1k 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
101 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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1answer
186 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
124 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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0answers
74 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
105 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
92 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
67 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
65 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
200 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
45 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 ...
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1answer
44 views

Chart showing returns by asset class vs CAGR [closed]

I know of charts that show yearly returns by asset class. Are there charts that show 10 year CAGR by asset class?
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2answers
909 views

Help with a homework question calculating interest

Question : Imagine that you deposit $6,000 a year, starting one year from today, for four years into a savings account paying 6% per annum. (That is one deposit of $6,000 per year.) How much money ...
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5answers
190 views

Definition of compound interest

The textbook by John Hull (9/e) describes "quarterly compounding" on page 80: If the interest rate is measured with annual compounding, the bank’s statement that the interest rate is 10% ...
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1answer
127 views

Compound interest, no dividends, no share price change

I've read about compounding and understand dividend reinvestment, but still not sure about compounding on stocks with no dividends. Is this scenario correct? Share purchase price = $ 10.00 $ 0 ...
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6answers
3k views

Does the growth of home value benefit from compound interest?

I read Investopia's definition and my take away is that compound interest applies to an investment that yields some return on a regular basis and that yield is reinvested in that instrument. If I have ...
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4answers
150 views

What is an appropriate metric measure average annualized rate of return for an average investor?

Let us say an investor invests $X per year for N years. Let us say the final portfolio value is $Y. In this scenario, how should I measure a metric that quantifies "average annualized return"? I ...
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1answer
24 views

Can I report all my taxable interest in Schedule CA NR Column E even if I wasn't a resident for the entire year?

Filing 2016 taxes. The place I having a savings account in reported $12 in 1099-INT. I started living in California at the end of January. Will my taxes get rejected if I report all $12 in column E ...
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2answers
278 views

How much do I need to save per month in an interest-bearing account to reach a certain account balance in a certain number of years?

How do I calculate what my monthly contribution should be to an interest bearing account, knowing how much I'll need to have in the account in a given number of years? For Example, I need $8,203.03 ...
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1answer
119 views

What kind of interest rate is used on treasury bills?

Let me use an example. If we say the yield to maturity of 1 month treasury bill is 2.414% now, what exactly does it mean? In actuarial notations, this number can mean effective interest rate (APY), ...
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1answer
41 views

Finding the price of an item years earlier from compound interest, simple interest, or APY

Is there a way to use the compound interest formula, simple interest, or APY to find the price of something years earlier if the price of it was increasing by a certain percentage annually?
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1answer
159 views

When to make Credit Card payments on large balance with interest

Consider the following scenario: A credit card has a balance of $5000 that cannot be paid off at this time. Every week I earn $500 that is deposited to my bank. My monthly minimum payment is $200. ...
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3answers
590 views

Does compounding frequency have any bearing on the return on investment?

If I take 100 dollars and put it into a savings account that pays me 5% annual interest which compounds monthly. At the end of the year I will have $105.12 If I take the same 100 dollars and invest ...
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2answers
152 views

effective rate loan installment

Why is it that the effective rate is based on compounding and it is also paid only on the remaining loan balance in compounding interest we pay interest on interest? Can someone explain in to me? what ...
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2answers
217 views

How to calculate the payback period when income is reinvested? [closed]

Could someone please show me how to calculate the payback period with compounded interest? So if I had a initial investment of $100, paying 1.5% interest annually that is reinvested, how do I ...
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2answers
975 views

interest compounded daily vs monthly

I want to compare two saving accounts with same APY, but one has interest "compounded daily and credited monthly" and the other has interest "compounded monthly and credited monthly". Which will yield ...
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3answers
409 views

How to calculate the return from a mutual fund?

How do I calculate the return from a mutual fund invested as a monthly SIP of Rs. 5000 over a period of 3 years at a return rate of 20.4% per annum? The projected amount for the same is calculated by ...
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4answers
262 views

Time value of money confusion [duplicate]

I am new to the stock market and currently trying to just get a basic understanding of the stock markets using online sources (investopedia). I came across this sentence when I was reading on a ...
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1answer
357 views

Building Marcus Savings Calculator in Excel

I'm trying to do some analysis in Google Sheets which involves putting money in Marcus' High Yield savings account. For some reason, I can't seem to get my numbers to match the values from their ...
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3answers
377 views

Long Term Stock Investment and Compounding

I have a query that's been bugging me. I have been investing in the UK stock market + funds for around a year now. Current Investments - Retirement Fund - FTSE index Fund - Managed Accumulation ...
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1answer
87 views

Understanding effective interest rate and compounding period

An article I'm reading says "An effective monthly rate [on a loan] is quoted over a one-month period. Since it is effective, it is compounded once per month." Is that still true if there's no ...
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4answers
2k views

Do pension pots get interest? [closed]

Pension pot is the money, the employee and sometimes the employer and the government pay that gets accumulated into pension fund. But my question is, that this pension fund is basically a bank ...
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1answer
92 views

How to compare the APRs of different currencies?

I want to take a loan and I have two options: Euros APR: 7.2% terms: 10 years Yuan APR: 9.2% terms: 5 years I have taken some financial classes so I have a vague idea about it. I know there is an ...
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3answers
538 views

How to know how much money was paid, and how much was spent paying off interest

I would like to buy a car, and found out about the 20/4/10 rule today. I definitely have more than 20% downpayment saved up, due to that I am not concerned with the 20 part. I am more concerned about ...
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2answers
160 views

How to calculate how long my money would last

I want to calculate how much money I'll need in retirement. For that I want to calculate how long my money will last. I'm not sure if there is a formula for that. Lets say we have this simple ...
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2answers
118 views

Comparing Real Estate returns to Mutual Fund returns

I was recently looking at a syndicated Real Estate investment that did some math to show what future returns might look like. The bottom line was that a $1,000 would turn into $2,360 after 10 years. ...
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2answers
137 views

Future value vs total amortized cost of a loan

My goal is to determine the total cost of a mortgage loan (principle + interest for 30 years) I assumed that the future value(FV) of a loan is the total amortized cost of the loan. Is that assumption ...