📘 finance
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Loan Interest
1. The problem states that Shaun owed £538.44 at the end of 2003 and £679.07 at the end of 2008. We want to find the amount of interest the loan gathered over the next 3 years afte
Irr Interpolation
1. **State the problem:** Calculate the Internal Rate of Return (IRR) using interpolation for TechMinds Ltd's project.
2. **Given:**
Npv Calculation
1. **State the problem:** Calculate the Net Present Value (NPV) for purchasing tourist vans costing 150000 with annual cash inflows of 50000 for 5 years, given a cost of capital of
Irr Calculation
1. **Problem Statement:**
Calculate the Internal Rate of Return (IRR) for TechMinds Ltd's new software system investment using the interpolation method given:
Simple Interest Rate
1. We are given the principal amount $P=100000$, the simple interest $SI=25200$, and the time period $t=9$ years. We need to find the rate of interest $r$.
2. Recall the formula fo
Npv Calculation
1. **Stating the problem:** We need to calculate the Net Present Value (NPV) of a project where the initial investment is 150000 and annual cash inflows are 50000 for 5 years. The
Compound Simple Interest
1. Calculate Simple Interest (SI) on 5,000 for 3 years at 6% p.a.
SI formula is $SI = \frac{P \times R \times T}{100}$
Depreciation Calculation
1. The problem states that an item initially valued at 150000 depreciates by 10% each year.
2. Calculate the value at the end of each year using the formula for depreciation: $$V =
Direct Cost
1. **State the problem:**
Given a table of direct costs with each component's cost and percentage chosen, calculate the total direct costs (DC).
Capital Gains
1. **Problem 7:** Roger bought 300 shares for $15,000. He sold half (which is 150 shares) for $18,000. Find the gross capital gain on those shares.
2. Calculate the original cost p
Interest Difference
1. **State the problem:** We need to find the difference between simple interest (SI) and compound interest (CI) on Rs. 1200 for one year at an interest rate of 10% per annum, with
Compound Interest Period
1. **Stating the problem:** We need to find the time period (in years) for which Rs. 30,000 amount at 7% per annum compound interest becomes Rs. 30,000 + Rs. 4347 = Rs. 34,347.
2.
Compound Interest
1. We are given that the amount increases by 60% in 6 years at simple interest. This means the simple interest rate for 6 years is 60% of the principal.
2. Let the principal be $P$
Financial Ratios
1. **Problem Statement:** Calculate and interpret financial ratios for Sawdust Limited for the years 2023 and 2024.
2. **Ratios and Formulas:**
Simple Interest
1. The problem is to calculate the simple interest earned on £2800 at a 3.5% annual interest rate over 6 years.
2. Simple interest is given by the formula $$\text{Interest} = P \ti
Simple Interest
1. **State the problem:**
We have £1200 deposited in an account with simple interest at 6% per year.
Simple Interest
1. **State the problem:**
We have an initial principal of $1200$ pounds invested at a simple interest rate of $6\%$ per year.
Compound Interest
1. **State the problem:** We start with an initial balance of £4000, and the account earns 5% compound interest per year. We want to find the balance after 1 year and after 2 years
Compound Interest
1. **State the problem:** Evie takes out a loan of 600 pounds with compound interest at 24% per year.
2. **Identify the formula for compound interest:** The amount owed after $t$ y
Apr Calculation
1. The problem states that $1000$ is deposited in a savings account with an annual interest rate of $12.2\%$, compounded quarterly, for $18$ months. We are asked to find the annual
Share Value Change
1. **Stating the problem:** Charlie initially bought shares worth 7000.
2. **Part a):** The shares increased in value by 12% after one month. We need to find their worth after this