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📘 finance

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Simple Annuities
1. **Problem 1a:** Lulu borrows 240,000 with 12% interest compounded monthly and pays 5,300 monthly. Find the number of payments. Step 1: Identify variables:
Loan Amortisation
1. **State the problem:** We have a loan of 12000 with an interest rate of 12% per annum compounded every 4 months. The loan is to be repaid over 3 years with equal payments every
Debt Rescheduling
1. **State the problem:** John owes P10,000 due in 4 years and P3,000 due in 5 years. He reschedules to pay three sums: $X$ now, $2X$ in 3 years, and $3X$ in 5 years. The interest
Customer Lifetime Value
1. **State the problem:** Calculate the Customer Lifetime Value (CLV) given quarterly spending of 1500, a gross margin of 25%, a customer duration of 3 years, and an annual discoun
Investment Growth
1. **State the problem:** We have an initial investment of 50000 dollars on January 1st, 2025.
Compound Interest
1. The problem involves understanding and using the compound amount formula and the compound interest formula. 2. The compound amount formula is given by:
Compound Interest
1. The problem is to understand and apply the compound interest formula and related concepts. 2. The compound amount $A$ is given by the formula:
Compound Interest
1. The compound amount formula is given by $$A = P \left(1 + \frac{r}{m}\right)^{mn}$$ where: - $A$ is the amount after $n$ years,
Credit Card Ear
1. Stating the problem: a) Calculate the effective annual interest rate (EAR) given a nominal annual interest rate of 21.9% compounded daily (365 times per year).
Kronor To Pounds
1. The problem is to convert 150 Swedish kronor (kr) to British pounds (£) using the graph provided. 2. The graph shows a linear relationship between Swedish kronor and British pou
Compound Interest
1. **State the problem:** Evie takes out a loan of 600 pounds with an annual compound interest rate of 24%. We want to find out how much money she will owe after 12 years. 2. **For
Future Value
1. **Stating the problem:** We have an initial investment of $35600$ at a bank with an annual interest rate of $11.9\%$, compounded quarterly (4 times a year), and the investment p
Future Value Annuity
1. **State the problem:** You save R2525 every month at the end of each month for 3 years. The bank pays 13.5% interest per annum compounded monthly. You want to find out how much
Future Value
1. Stating the problem: Calculate the future value (FV) of an investment of 150000 at an interest rate of 7.5% compounded quarterly over 10 years. 2. Formula for compound interest:
Simple Interest
1. The problem is to find the number of years it will take for an initial amount of R 2500 to grow to R 12500 at a simple interest rate of 12%. 2. Recall the formula for simple int
Mortgage Repayment
1. **State the problem:** We need to find the monthly bond repayment on a mortgage of 650000 over 20 years with an annual compound interest rate of 9.5%.\n2. **Identify variables:*
Interest Rate
1. State the problem: We need to find the interest rate $r$ for a deposit of 20000 that yields 50000 over 8 years. 2. Assume simple interest. The formula for simple interest is $A
House Payment
1. **Stating the problem:** We want to find the monthly payment that the parents will receive if the house is sold in 7 years for 3.2 million, with an interest rate of 8.06% compou
Debt Payment Plans
1. **State the problem:** You owe R 500 000 and want to find which of the three payment plans pay closest to this amount without overpaying, considering different interest rates an
Total Current Assets
1. Stating the problem: Find the firm's total current assets using the provided balance sheet items. 2. Given:
Gross Profit
1. **State the problem**: We need to find the firm's gross profit given sales and cost of goods sold (COGS). 2. **Identify the formula for gross profit**: Gross profit is calculate