📘 finance

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: $$Z = K \times \frac{p}{100} \times \frac{t}{360}$$

1. The problem involves calculating the Future Value (FV) of a series of cash flows (CF) compounded at an interest rate $r$ over $T$ periods, and then finding the Present Value (PV

1. **State the problem:** You want to find the future value of annual savings of 2742.33 for 9 years at an annual interest rate of 14.17%. The goal is to find how much money will b

1. **State the problem:** Calculate the future value of annual deposits of $400 made for 5 years with an annual interest rate of 10%. 2. **Formula used:** The future value of an an

1. **State the problem:** You deposit 365 at the end of each year into an account earning 12% interest. First, you save for 25 years, then for 50 years. We want to find how much mo

1. The problem asks to find the daily interest rate given an annual interest rate of 28.8%. 2. The formula to convert an annual interest rate to a daily interest rate assuming simp

1. **State the problem:** We are given a loan with the following details:

1. **State the problem:** You purchased office supplies worth 700 and received a bill dated 15-Sep with terms 3/10 EOM. 2. **Understand the terms:** 3/10 EOM means a 3% discount is

1. **State the problem:** You purchased office supplies worth 600 and received a bill dated 18-Sept with terms 5/10 EOM. 2. **Understand the terms:** 5/10 EOM means a 5% discount i

1. Énoncé du problème : Une entreprise place 2 millions d'euros en banque. Dans 25 ans, son capital aura doublé. Il faut calculer le taux d'intérêt annuel pratiqué par la banque, a

1. **Problem statement:** We need to find the Z-spread of a risky corporate bond with the following details:

1. **State the problem:** We have three payments: $747$ due in 1 year, $843$ due in 4.5 years, and $1233$ due in 5 years. We want to find a single equivalent payment at 2.5 years,

1. **State the problem:** Convert the price of one phone case from Chinese Yuan (¥) to US dollars ($) using the exchange rate $1 = ¥7.17$. 2. **Formula used:** To convert from Yuan