📘 finance

1. **State the problem:** Calculate the nominal interest rate $j$ compounded daily for a credit card balance.

1. **State the problem:** Calculate the nominal interest rate $j$ compounded daily for a credit card balance.

1. **State the problem:** Calculate the future value of an annuity with quarterly payments of 125, an interest rate of 7% compounded quarterly, and an initial principal of 10,000.

1. **State the problem:** Calculate the future value of 10,000 with 9% annual interest compounded monthly. 2. **Formula used:** The future value $FV$ with compound interest is give

1. **State the problem:** Paul wants to accumulate at least 55000 by depositing 2000 at the end of every month into a fund with 6.25% annual interest compounded monthly. We need to

1. **Problem Statement:** Kristen invested 12000 in a fund earning 5.5% compounded monthly. He withdraws 800 at the end of every quarter starting 5 years from now. We need to find

1. **State the problem:** We need to find the present value $P$ that will grow to a future value $A = 29000$ with an interest rate of 2% per quarter compounded quarterly for 13 qua

1. **State the problem:** We need to find the present value (PV) that will grow to a future value (FV) of 24000 with an interest rate of 9% compounded quarterly over 14 quarters. 2

1. The problem asks to calculate the closing costs on a home purchase using 3% of the purchase price. 2. The formula for closing costs is:

1. **State the problem:** We want to find the amount of money in an account after 29 years if 7800 dollars is deposited at an annual interest rate of 6.5%. 2. **Formula used:** For

1. **Problem:** Monthly payments of 2000 for 5 years with interest rate of 12% compounded annually. - This is a **Simple Annuity** with monthly payments but interest compounded ann

1. **Problem:** Monthly payments of 2000 for 5 years with 12% interest compounded annually. - This is an **annuity due** because payments are monthly but interest is compounded ann

1. **Problem statement:** Calculate the monthly payment, total payment, and percentage breakdown of principal and interest for a $12500 loan at 12% APR over 20 years. 2. **Formula

1. **State the problem:** You want to find the monthly deposit amount needed to reach $1.3$ million in 22 years with an APR of 4% compounded monthly. 2. **Formula used:** The futur

1. **State the problem:** You want to find out how big of a loan you can afford if you can pay $400 per month for 3 years at 4% annual interest. 2. **Formula used:** The loan amoun

1. **State the problem:** Shelly Katz gave Ron Prentice a $4,400 note at 6% interest for 165 days. On May 10, Shelly discounted the note at Roseville Bank at 10%. We need to find t

1. **State the problem:** Shelly Katz gave Ron Prentice a $4,400 note at 6% interest for 165 days on Feb. 26. On May 10, Shelly discounted the note at Roseville Bank at 10%. We nee

1. **Problem Statement:** Find the present deposit amount that will provide beginning-of-month payments of 600 for the first 2 years and 800 for the next 4 years, with an account e

1. Problem 4: Calculate the size of quarterly payments to settle a $15,000 loan at 5.25% annual interest compounded monthly over 10 years. 2. Formula: Use the annuity payment formu

1. **Problem 2a:** Calculate the time to pay off the mortgage. Given:

1. **Problem statement:** A $300,000 house requires a 25% down payment, and the rest is financed with monthly payments of $1,500 at an interest rate of 4.15% compounded semi-annual