Mortgage calculations Using Excel. Repaying a mortgage When applying for a mortgage, you will need to provide the following information:  the value of.

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Mortgage calculations Using Excel

Repaying a mortgage When applying for a mortgage, you will need to provide the following information:  the value of the property you are buying  the size of the deposit you are putting down on the property  the period of time over which you want to repay the mortgage. 2

Repaying a mortgage With this information, the mortgage lender will offer you different types of mortgage with the following details:  the total loan value (including fees)  the monthly repayment amount  the Annual Percentage Rate (APR). What we want to consider is how much of our monthly payment is going towards paying off the loan, and how much is paying interest. 3

Mortgage example Let us say we want to buy a house for £270,000 (national average) and we have £54,000 deposit (20% of the house value). So we require a £216,000 mortgage. The ‘Too Good To Be True’ building society offers to lend us the money at an APR of 5% with no fees included. We wish to pay the mortgage off over 25 years and so the lender tells us that the monthly repayments will be £

Repayment schedule In an Excel file, put together a monthly repayment schedule, detailing your monthly opening and closing balances, the monthly interest charged, the monthly repayment, and the current loan balance. The handout will help you set up your schedule. Remember:  The opening loan balance is £162,000.  Annual interest is charged at 5%.  The mortgage will be paid back monthly over 25 years.  A repayment of £ will be paid each month. 5

Graphical representation Using the values you have calculated, construct graphs to show:  the outstanding (closing) loan balance changing over time  a comparison of how much of each monthly repayment is actually paying off the loan (the principal) and how much is interest. Analyse these graphs, reporting your findings. 6

Outstanding balance 7

Repayment breakdown 8

Real-life comparative models Calculate a repayment schedule for both these existing mortgage offers. Take note of the change in rate after a certain number of years and the product fees. 9

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Core Maths Support Programme Highbridge House 16–18 Duke Street Reading RG1 4RU Call: