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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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1 answer
93 views

How to calculate a mixed interest rate?

I would like to calculate the realized interest rate of my stocks. How can I do that? Example: I buy stock A for 1000$ in year 1. After 3 years it is worth 1158$ (+5%/a, 158$ profit) I buy stock B for ...
1 vote
2 answers
240 views

Formula for continuously increasing interest rate

Is there a standardised formula for continuously increasing interest rate of an investment? Given a compound interest formula of A = P(1 + (r/n)^nt), is there a way to combine daily compounding with a ...
1 vote
3 answers
195 views

How to calculate the very last payment when repaying a debt?

Suppose I'm repaying a fixed amount every month on a debt such as a credit card debt. Generally, the very last payment will be less than the others, because the total owed will be less than the fixed ...
0 votes
0 answers
33 views

How to evaluate the net profit rate for a pension scheme?

I am not a finance (cse background) guy but have some basic minimal knowledge about the inflation rate & interest rate of a country, and the net profit rate for an investment. As far as I ...
1 vote
1 answer
68 views

Confusion with payment calculation for fixed payments on fixed interest loan

I'm trying to understand how to calculate the monthly payments on a fixed interest loan with a given term. I understand this can be done with the PMT excel function. Whenever I see this explained ...
0 votes
1 answer
202 views

Monthly Rate vs Continuously Compounded Rate

A bank offers two alternative interest schedules for a savings account of $100,000 locked in for 3 years. Which alternative should you choose? (a) a monthly rate of 1% (b) an annually, continuously ...
-1 votes
1 answer
234 views

Need help in calculating interest on daily savings account

Preamble I would like to open a savings account in one of "Big 5" banks in Canada. Many banks are offering so called "daily savings" accounts. My calculation Not to name any names, ...
14 votes
3 answers
6k views

Which mortgage should I pay off first? Same interest rate and mortgage length

tl;dr: I have two amortized mortgages; one big and one small. The conditions (interest rate and mortgage length) are exactly the same. Which should I pay off first? I have always heard that you ...
1 vote
1 answer
103 views

If APY factors compounding (while APR doesn't), shouldn't APY always be higher than APR?

So, from what I understand: APR: rate advertised to borrowers (without compounding) APY: rate advertised to lenders (with compounding) So, for a loan with APR of 6%, that compounds monthly: APY = (...
0 votes
1 answer
7k views

How do I calculate monthly compound interest with additional monthly deposits in Google Sheets?

I'm trying to figure out how to write a formula and/or use a function to calculate the following in Google Sheets. John deposits $1,000.00 into a savings account on Dec 31st. John also deposits $100 ...
2 votes
1 answer
2k views

How are compound interest factor tables calculated?

In my economics class, our textbook provides these massive tables for looking up these compound interest factors to put in worth equations. They look something like this: There has to be some formula ...
1 vote
2 answers
89 views

For mutual funds, does average annual return mean compounded annually or continually or daily?

Vanguard's Portfolio Allocations page (1926-2019) shows 9.21% Average annual return for 70% Equity and 30% Fixed income. Does this mean 9.21% compounded annually? GOAL... If at age full retirement age ...
0 votes
1 answer
88 views

How do we trust power of compounding with mutual fund SIP

When I search for SIP Mutual fund plans, often I see huge money returns in the long run. But when I research, it's usually mentioned as Power of compounding, that's how they're able to return such a ...
2 votes
2 answers
327 views

How frequently is interest compounded when estimating market returns [duplicate]

I'd like to be able to estimate the value of my portfolio over time given annual contributions and an expected return of a certain percentage. I found several simple online interest calculators, but ...
1 vote
1 answer
100 views

Future value of an annuity with variable compounding time?

I haven't found any information on this so here goes: Is there any general formula for calculating future value of an annuity (recurring deposit) when the interval of interest compounding is variable? ...
1 vote
1 answer
123 views

Calculating CAGR for Ordinary annuity

Basic compounding interest question: I paid 5000 every month for 12 months and got 67500 in return, what was the annual compounding intereset rate? I considered formular as follows: FV = PMT(((1+r)^...
0 votes
1 answer
216 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 ...
1 vote
2 answers
2k views

How to deal with February in accrued interest calculation (30/360 day count convention)

How would you deal with the month of February in a daily interest calculation on a loan that compounds monthly? I would think that with 30/360 day count convention, each day in February results in ...
-1 votes
2 answers
142 views

What formula has bank used in this situation?

This is the bank fixed deposit's start date and end date with the principal and maturity amounts. The rate is 7% p.a. Could anyone help with how the bank has calculated this maturity amount?
0 votes
0 answers
28 views

How We Decide n in Compound Interest Rate Table When Annual Expenses Increasing After Certain Year?

I don't understand that, in this question's solution for HEPS9, why we take n as 6. And why we use A/G for SP240 and P/G for HEPS9. Question: Solution: Compound Interest Rate Table:
2 votes
2 answers
178 views

How do I determine the performance of my retirement fund with regular monthly contributions?

My retirement fund [Australian Superannuation fund] can be checked at any time. The fund invests in shares, which can go up - or down. Money is going IN regularly [monthly]. At any given time, how do ...
1 vote
1 answer
2k views

TreasuryDirect Reinvest T-Bills (Gap or no Gap)

When you set a T-Bill (say 3M) to reinvest on TreasuryDirect, will there be a one week gap when reinvesting (due to auction scheduling) or will you be fully vested for 2 years (get 2 year's worth of ...
0 votes
1 answer
137 views

How to calculate Average CAGRs?

I have sales by 30 different products over years (2015-2022). I need to compute Compound Annual Growth Rate, however some of the product groups have high CAGR and some of them have quite low CAGR. So ...
-2 votes
1 answer
114 views

Are there any home-loans that compound every quarter or half-year or annually?

Are there any home-loans that compound every quarter or half-year or annually? Asking for a friend who keeps bugging my other friend to give them money to buy a house, and the friend doesn't want to ...
3 votes
3 answers
2k views

Annuities question - Equations of value

Chuck needs to purchase an item in 10 years. The item costs 200 today, but its price inflates at 4% per year. To finance the purchase, Chuck deposits 20 into an account at the beginning of each year ...
1 vote
2 answers
140 views

Is this a weekly compounding loan amortization schedule?

I am currently having a disagreement with my colleagues regarding whether a loan is compounding or not. I have linked below an image of a amortization schedule for a 52 week term for a $50,000 loan. ...
4 votes
1 answer
2k views

Compound Interest Formula With Monthly Investment Increase

I'm looking to solve this problem: If I were to start investing now, With a 4% annual return compounded monthly what is the function for my return if my monthly input is initially $2000 then for ...
1 vote
2 answers
133 views

Calculating cumulated interest of mortgage within a specific time span

I like to use google sheets because of its ease of access with just a link. I have a mortgage and I need to be able to calculate the interest within a year (but I'd like to be able to do it within any ...
0 votes
1 answer
76 views

If you pay off a variable APR daily accruing credit card before the end of the month, is there interest?

Can you avoid 100% of interest on a card that accrues interest daily, by paying it off in full before the end of each billing cycle?
2 votes
2 answers
63 views

CAGR of Monthly Close Prices

In step 7 in this tableau tutorial he uses the number of periods as 12 I believe this number should change. So for instance if we started with January to March, the number of period would be 3. Then ...
1 vote
2 answers
172 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 ...
-1 votes
2 answers
185 views

What's the formula behind these two stock trading scenarios?

Let's say I have $10,000 in my account. Scenario 1: If I make 10 trades in a year and each trade I position size using only 25% every time and exit the trade after a 10% gain, my account would grow by ...
2 votes
1 answer
138 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 ...
1 vote
2 answers
105 views

How long will it take to pay off a Virgin Money Transfer principal balance of £ 5,816.21 at 23.29% variable interest?

I'm thick when it comes to finances. I don't understand how interest and compound interest works, so I'm seeking help. I have a Virgin Money Transfer principal balance of £ 5,816.21. Interest rate ...
6 votes
4 answers
580 views

Financial pros and cons of having a rainy day fund in a savings account versus invested?

I used to have about 4 months of expenses in a savings account as a "rainy day fund" in case of emergencies. The last year or so, though, I've switched to having a minimum of expenses (about ...
0 votes
2 answers
331 views

Calculate interest rate APR (compound and normal) on a daily basis

Let's assume there is an interest rate of 0.61%. So, the interest is 0.61% AER which is then divided by 365 and paid daily. The interest rate is for the year, not per day however interest is paid ...
1 vote
2 answers
1k views

Calculating Effective Annual Interest Rate & Annual Percentage Rate with fees (in R)

Problem How to calculate Effective Annual Interest Rate (EAR) and Annual Percentage Rate (APR) with fees (in R) ? I am interested in getting to know how much I am actually paying interest when fees ...
1 vote
1 answer
61 views

How to find CAGR from absolute return in a given duration?

What is the formula to figure out "Compound Annual Growth Rate (CAGR)" from absolute returns? Say, if 100% is the absolute return in 5 years tenure, then how would I find what is the CAGR ...
2 votes
2 answers
452 views

Calculate APY given start balance, end balance, and term

I'm having trouble figuring out the formula for calculating APY given a starting balance, ending balance, and term in length of years. What's the formula to do this?
-2 votes
2 answers
292 views

Handing multiple people pooling money into a crypto that compounds

This might be an odd one, but I’m looking for some advice. I have a few people wanting to pool money together into a crypto that compounds. I’m looking for a good way to record the percentage that ...
0 votes
3 answers
64 views

Finding optimal balance between unscheduled mortgage loan replayments and financial market investments

Imagine the following situation. You have a mortgage loan, it has a quite low fixed interest but runs over a couple of decades You have positive experiences over a couple of year with the financial ...
1 vote
1 answer
712 views

Calculating APY and compounding rates of investment on Coinbase

So I have been working on determining which is better: the Coinbase apy seen in coins such as DAI (2%), and Algorand (4%) and a bank's apy, say 0.6%. I have the calculations in Matlab, but wanted to ...
0 votes
1 answer
844 views

How do I calculate Compound Interest with changing monthly contributions, quarterly contributions, and changing interest rate

John currently has $100 in a saving account that compounds quarterly at a .25% interest rate. When the account's balance reaches $2500 or more, the interest rate will change to .05%. I want to figure ...
3 votes
3 answers
2k views

Formula for "How long until balance 0" with compound interest and withdrawals?

I an looking for a formula which returns "n" for a given combination of Starting balance (1M) Withdrawal rate per year (80k) Expected interest (8%) I looked around but couldn't find a ...
2 votes
2 answers
94 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 ...
-5 votes
2 answers
180 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 ...
1 vote
1 answer
348 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 ...
0 votes
1 answer
42 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 ...
5 votes
3 answers
1k views

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 ...
3 votes
3 answers
2k 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 ...