📘 finance

1. **Identify the principal amount.** The principal is the initial amount borrowed or invested.

1. **Problem 1:** Determine the minimum principal to accumulate 200,000 in 4 years at 10% compounded semi-annually. 2. **Formula:** Compound interest formula for future value:

1. **Problem statement:** We are given a continuous income stream with rate of flow $f(t) = 900 e^{-0.02 t}$, an interest rate of 7% compounded continuously, and a time period of 3

1. **State the problem:** Cohen took a loan with compound interest. At the end of 2004, the amount owed was 637.88. At the end of 2009, the amount owed was 863.75. We need to find

1. **State the problem:** We have a loan of 34000 with an annual interest rate of 4.25% compounded annually. We want to find the smallest whole number of years $t$ such that the am

1. **State the problem:** Calculate the interest earned when 400 is invested at 5% per annum compound interest for 3 years. 2. **Formula used:** Compound interest is calculated usi

1. **State the problem:** Calculate Maru's net pay every payday given a weekly salary of 10000, mandatory contributions of 500, and non-taxable benefits of 1000. 2. **Understand th

1. Let's understand the problem: You want to know why the correct answer is P8,761.48. 2. This amount likely comes from a financial calculation such as compound interest, loan paym

1. **Problem Statement:** A loan of 10000 is amortized by equal annual payments for 30 years at an effective annual interest rate of 9%. We need to find the year in which the inter

1. **State the problem:** We are given the present value (PV) of an annuity, the number of periods (n), and the interest rate per period (i). We need to find the payment amount (PM

1. **State the problem:** We need to find the purchase price of a 50-day T-bill with a maturity value of 1367, an annual interest rate of 3.667%, assuming a 360-day year. 2. **Form

1. **State the problem:** We need to find the purchase price of a 50-day T-bill with a maturity value of 2047 and an annual interest rate of 4.192%, assuming a 360-day year. 2. **F

1. The problem is to understand and calculate simple interest. 2. The formula for simple interest is:

1. **State the problem:** We want to find the time $t$ in years for a principal amount $P=157500$ to grow to a total amount $A=457000$ with a simple interest rate $r=10.5\%$ per an

1. **Problem Statement:** You want to have 2.5 million after 5 years by investing a one-time amount now in a money market account with an annual interest rate of 5.8%. We need to f

1. **Problem Statement:** Calculate the interest earned on an initial deposit of 30000 with an annual interest rate of 1.25%, after 91 days, considering an 80% tax on the interest.

1. **State the problem:** Calculate the interest earned on an initial deposit of 30000 with an annual interest rate of 1.25% over 91 days, considering a 20% tax on the interest. Th

1. **State the problem:** Calculate the actual interest earned after 35 days on Php 100,000 placed in a time deposit with an annual interest rate of 2.5%, considering an 80% tax on

1. **State the problem:** Calculate the actual interest earned after 35 days on a principal of 100000 with an annual interest rate of 2.5%, considering a 20% tax on the interest. 2

1. **State the problem:** Nicola borrows 215000 for her mortgage.

1. **Problem statement:** A company needs 113000 in 18 years to replace a computer. They want to make fixed monthly payments into a sinking fund that compounds monthly at an annual