📘 finance
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Annuity Accumulation
1. **Problem statement:** Amir saves 250 at the end of every month for 6 years in an account earning 2.75% interest compounded monthly. We need to calculate the accumulated amount
Compound Interest
1. **State the problem:** Felixia deposited 3700 at Bank Cahaya with interest rate $k$% compounded semi-annually. We need to find the accumulated amount after 5 years.
2. **Recall
Compound Interest
1. **State the problem:** Felixia deposited 3700 at Bank Cahaya with interest rate $k\%$ compounded semi-annually. After 3 years, the amount is 4418. We need to find (i) the intere
Compound Interest
1. **State the problem:**
We want to find the initial deposit amount $Z$ in a savings account with 8% annual interest compounded quarterly.
Annuity Comparison
1. **State the problem:** Kiara invests 125 every month for 1 year (12 months) in two different annuities.
- Annuity A: 2% annual interest compounded monthly + 25 bonus (no interes
Annuity Future Value
1. **State the problem:** Maya invests 135 each month into an ordinary annuity for 31 years with an interest rate of 1% compounded monthly. We want to find the future value of the
Devon Share Value
1. **State the problem:** We want to find the expected value of a share of Devon on December 1, 2018, given that the first dividend of $0.45 will be paid on December 1, 2021, and d
Simple Interest
1. Find the simple interest on 15000 at 9% for 2 years.
Simple interest formula: $$SI = P \times r \times t$$
Present Value
1. **State the problem:** We need to find the present value of R13 000 received at the beginning of each year for 8 years, with an interest rate of 10% compounded annually.
2. **Id
Annuity Investment
1. **State the problem:** Nina wants to have R800000 in 4 years. We need to find the amount she must invest at the beginning of each year to reach this goal, assuming compound inte
Interest Calculations
1. **Problem:** Calculate the difference between the interests received from two investments of 1 000 000 each for one year, one with simple interest at 10% p.a. and the other with
Simple Interest
1. **State the problem:** Arjun deposits 1240 into a bank account with simple interest at 7% per year. The total interest earned is 954.80. We need to find the number of years the
Note Proceeds
1. **State the problem:**
Find the proceeds of a promissory note for RM8,000 with 9% interest per annum, dated 12 May 2021, due in 90 days, discounted on 15 July 2021 at 6% bank di
Term Discount
1. **State the problem:**
We are given a RM5,000 note with 8% interest for six months, discounted at 6.5%, and the discount amount is RM18.78. We need to find the term of discount
Face Value Note
1. **Problem statement:** Find the face value of a 90-day promissory note when the interest is RM200 and the interest rate is 8% per annum.
2. **Step 1: Write down the known values
Loan Term Amount
1. **State the problem:** Azizi took a loan on 1 May 2020 with a simple interest rate of 5.5% per annum. He paid RM14,320.84 on 28 October 2020 to settle the loan. We need to find
Annuity Future Value
1. **State the problem:** We need to find the future value of an ordinary annuity with the following details:
- Periodic payment: 1400
Reducing Interest Loans
1. **State the problem:**
Ashika borrows 180000 at 4.8% per annum compounded monthly, repaid monthly over 20 years. We use the formula $$PV = PMT \times \frac{1 - (1 + i)^{-n}}{i}$
Compound Interest
1. **State the problem:** Vasu invested 8000 at an interest rate of 9% per annum. We need to find the total amount after 3 years with interest compounded annually.
2. **Identify th
Compound Interest Quarterly
1. **State the problem:** We need to find the compound interest on 64000 for 1 year at an interest rate of 1% per annum compounded quarterly.
2. **Identify the variables:**
Compound Interest
1. **State the problem:** Dal received a loan of 40000 with an interest rate of 7% per annum compounded annually. We need to find the compound interest after 2 years.
2. **Identify