📘 finance

1. **State the problem:** We are given the equation $$155,000 = m \frac{1 - (1 + \frac{0.041}{12})^{-12 \times 15}}{\frac{0.041}{12}}$$ and need to solve for the monthly payment $m

1. **Problem statement:** Oscar invests 2000 pounds into a savings account with a compound interest rate of 3.5% per year. We need to find: a) The total amount in the account after

1. **State the problem:** We have a flat costing 103500 that depreciates by 2.3% each year for 3 years. We want to find its value after 3 years.

1. **Problem statement:** Briac Steel deposits 4400 at the beginning of every month into a fund with an 8% annual interest rate compounded semi-annually. We want to find the total

1. **Problem Statement:** Briac Steel deposits 44004400 at the beginning of every month into a fund with an 8% annual interest rate compounded semi-annually. We want to find the to

1. **State the problem:** You can afford monthly payments of 800. The mortgage rate is 4.04% annually for a 30-year fixed loan. We want to find how much you can borrow (the loan pr

1. **Problem statement:** Esmeralda wants to save enough money to buy a summer house priced at 990000 after 6.5 years by making equal quarterly deposits into a bank account with an

1. **State the problem:** You can afford monthly payments of 600. The mortgage rate is 2.41% annually for a 15-year fixed loan. We want to find how much you can borrow (the loan pr

1. **State the problem:** Calculate the monthly payment for Choice 2, which is a 20-year fixed rate loan at 3.5% interest with closing costs of $1400 and 2 points on a $150,000 loa

1. **State the problem:** Calculate the total closing costs for Choice 2, given a loan amount of 150000, closing costs of 1400, and 2 points. 2. **Understand points:** Points are f

1. **State the problem:** We want to find the daily savings amount needed to accumulate $52200$ over 4 years with daily compounding interest at an annual rate of 4.6%. 2. **Formula

1. **State the problem:** We need to determine the monthly payment for a loan based on the principal and interest, ignoring taxes and insurance. 2. **Formula used:** The monthly pa

1. **State the problem:** A professor wants to buy a house for 660000 with a conventional loan requiring a 20% down payment and 2 points at closing. We need to find the cost of the

1. **State the problem:** Calculate the price per square foot for each plywood panel given the dimensions and total price. 2. **Formula:** Price per square foot = \frac{Price\ per\

1. **Problem Statement:** Calculate the present value (investment today) needed to reach a future value of 10,000 after 20 years with different quarterly compounded interest rates.

1. **State the problem:** Calculate the value of the expression $25,000 \left(\frac{1 - (1+ 0.05)^{-5}}{0.05}\right)$. 2. **Formula and explanation:** This expression resembles the

1. **State the problem:** Juan invested 23000 six years ago, and now the investment is worth 42557. We need to find the effective annual rate of return $r$ over 6 years. 2. **Formu

1. **State the problem:** Calculate the monthly payment, total payment, and total interest for a loan of 11500 at 5.9% annual interest over 4 years with monthly payments. 2. **Form

1. **State the problem:** Amir and Eva each invest 100000 at 7.5% per annum for 5 years. Amir's interest is compounded daily, Eva's annually. We need to find how much more Amir ear

1. **State the problem:** We need to calculate the implied growth rate $g$ using the given dividend growth model formula: $$P_0 = \frac{D_0(1+g)}{r-g}$$

1. Problem 1: Calculate the interest $Z$ for Kapital $K=520$, Zinssatz $p=2.5\%$, Zeit $t=77$ Tage. Formula for simple interest: $$Z = K \times \frac{p}{100} \times \frac{t}{360}$$