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.

Filter by
Sorted by
Tagged with
0 votes
1 answer
111 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, ...
-1 votes
2 answers
135 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?
  • 72
0 votes
0 answers
27 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:
1 vote
2 answers
68 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 ...
  • 596
2 votes
1 answer
971 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 ...
0 votes
1 answer
253 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 ...
  • 167
1 vote
1 answer
378 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 ...
  • 297
0 votes
1 answer
29 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 ...
  • 101
-2 votes
1 answer
108 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 ...
1 vote
2 answers
74 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. ...
0 votes
1 answer
71 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
53 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
98 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 ...
-1 votes
2 answers
115 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 ...
  • 1
1 vote
2 answers
96 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 ...
  • 13
6 votes
4 answers
462 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
104 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
449 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
49 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 ...
  • 143
1 vote
2 answers
72 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
227 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 ...
  • 113
0 votes
3 answers
59 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 ...
  • 209
0 votes
1 answer
70 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
278 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
429 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
984 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 ...
  • 153
2 votes
2 answers
77 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 ...
  • 245
-5 votes
2 answers
154 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
111 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 ...
  • 47
0 votes
1 answer
39 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 ...
  • 233
1 vote
2 answers
130 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 ...
1 vote
2 answers
429 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 ...
0 votes
1 answer
80 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 ...
2 votes
1 answer
1k 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 ...
1 vote
1 answer
103 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 ...
  • 13
1 vote
2 answers
109 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 ...
2 votes
1 answer
167 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 ...
0 votes
2 answers
127 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 ...
0 votes
1 answer
35 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 ...
  • 1
0 votes
1 answer
111 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 ...
2 votes
1 answer
73 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: ...
  • 23
2 votes
1 answer
129 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 ...
0 votes
1 answer
374 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 ...
  • 233
1 vote
2 answers
401 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 ...
  • 11
-1 votes
1 answer
60 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, ...
  • 137
7 votes
3 answers
1k 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 ...
  • 171
1 vote
2 answers
1k 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 ...
1 vote
4 answers
856 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 ...
  • 121
1 vote
2 answers
136 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 ...