📘 finance

1. **Problem Statement:** Sarah invests 1000 at an annual interest rate of 7.2% and leaves it untouched for 50 years (from age 20 to 70). We need to find how much money she will ha

1. **State the problem:** We need to find the annual interest rate $r$ for an account that started with a principal $P=5000$ and grew to an amount $A=13000$ after $t=12$ years with

1. **Problem Statement:** Kristen wants to have 2,000,000 in 45 years by investing in a mutual fund that pays 8.5% annual interest compounded quarterly. We need to find the initial

1. **State the problem:** Jasmine deposits 520 into a savings account with an interest rate of 3.5% compounded monthly. We need to find the balance after 2 years. 2. **Formula used

1. **State the problem:** We need to find the amount of interest paid for Month 4 based on the amortization table provided. 2. **Understand the amortization table:** The table show

1. **State the problem:** Jackson has 3000 in a savings account with 1% annual interest compounded annually. We want to find the interest earned after 5 years to the nearest cent.

1. **State the problem:** Javier has 5363 in a savings account with 13% annual interest compounded yearly. We want to find the interest earned after 5 years. 2. **Formula:** The ba

1. **State the problem:** Riley has 7000 in a savings account with 2% annual interest compounded once per year. We want to find the balance after 4 years. 2. **Formula:** The formu

1. **State the problem:** Felix has 3000 in a savings account with an interest rate of 15% compounded annually. We want to find the balance after 1 year. 2. **Formula:** The formul

1. **State the problem:** Sammy borrows 400 for nine months at a simple interest rate of 12.5% per annum. We need to find how much he has to pay back in total. 2. **Formula for sim

1. **Problem Statement:** We are given cash flows for a project and asked to calculate the Net Present Value (NPV) ignoring risk and considering risk using certainty equivalent coe

1. **Problem Statement:** Calculate the Effective Annual Rate (EAR) for a 5-year car financing plan with 0% interest, where the car price is 2300000, monthly payments are 38333.33

1. **State the problem:** We need to compare the present values of two payment options using a discount rate of 11.5% per year. 2. **Formula for Present Value (PV):**

1. **State the problem:** Ann and Tom want to find the lump sum amount to deposit now at a 7% annual interest rate, compounded annually, so that the fund grows to 50000 in 10 years

1. **Problem Statement:** Ms. Casas has 80,000 and wants to deposit it for 10 years. There are two accounts: - Account 1: 6% interest compounded monthly

1. **Problem Statement:** Calculate the periodic payment for each annuity given the amount, payment interval, interest rate, compounding period, and term. 2. **Formulas Used:**

1. **State the problem:** We need to find the periodic payment for four different annuities given their amounts, payment intervals, interest rates, compounding periods, and terms.

1. **Problem Statement:** Find the periodic payment of each annuity payable at the end of each period using the given data. 2. **Formula for periodic payment of an annuity:**

1. **Problem Statement:** Calculate the periodic payments for different types of annuities given their parameters such as amount, interest rate, compounding period, term, and payme

1. **Problem Statement:** Calculate the periodic payment of each annuity payable at the end of each period given the annuity details.

1. **Problem Statement:** We are given several annuity problems with different parameters and periodic payments. The goal is to verify or correct the periodic payment calculations.