📘 finance
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Simple Interest
1. The problem is to understand and calculate simple interest.
2. The formula for simple interest is:
Simple Interest Time
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
Investment Present Value
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
Interest Earned
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.
Interest Earned
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
Interest Earned
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
Interest Earned
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
Mortgage Repayment
1. **State the problem:**
Nicola borrows 215000 for her mortgage.
Sinking Fund Payment
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
Balance Update
1. **State the problem:** You start with a balance of 60, then deposit 120, and finally withdraw 40. We need to find the final balance.
2. **Formula and explanation:** The final ba
Note Proceeds
1. **State the problem:**
We have a noninterest-bearing note issued for 507500 on February 12 of a non-leap year with a term of 10 months. It is sold on September 22 with a negotia
Student Loan Interest
1. **State the problem:**
Jo has a student loan of $87941 with an interest rate of prime + 2.5%. The prime rate is 3.5%, so the total interest rate is $3.5\% + 2.5\% = 6\%$ annuall
Hire Purchase Price
1. **State the problem:** Anderson bought a wardrobe on hire purchase terms. He paid a deposit of 6500 and 12 equal monthly instalments of 1900. We need to calculate the total hire
Simple Annuity
1. The problem involves understanding a simple annuity, which is a series of equal payments made at regular intervals.
2. The formula for the future value of a simple annuity is $$
Bond Pricing Ytm
1. **Problem 1: Calculate the issue price of a bond with semi-annual coupons**
Given:
Bond Pricing Ytm
1. **Problem 1:** Calculate the issue price of a bond with face value 100000, coupon 9% per year paid semi-annually, maturity 10 years, and market YTM 8% per annum compounded semi-
Bond Pricing Ytm
1. **Problem 1:** Calculate the issue price of a bond with face value P100,000, coupon 9% per year paid semi-annually, maturity 10 years, and market YTM 8% per annum compounded sem
Compound Interest Rate
1. **State the problem:**
We have a principal amount $P = 5600$ naira deposited for $t = 3$ years.
Principal Amount
1. The problem is to find the principal amount, which is already given as 5600.
2. Principal is the initial amount of money before interest or any other calculations.
Option Call Binomial
1. Énoncé du problème :
Nous avons une option call avec les paramètres suivants : \(\Delta t = 0,1\), maturité \(P = 1\), \(\Delta S = 10\), \(S\) varie de 0 à 100, valeur d'exerci
Inflation Interest
1. **Problem 1: Calculate the current cost of a car given inflation.**
The problem states that the cost of automobiles increases by 2.5% each year due to inflation. We want to find