An individual invests 9 3 5 4 1 4 (pounds) to purchase two flats that are going to be rented to provide a monthly rental income to the investor. The first flat costs 608019 and the second flat costs 3 2 7 3 9 5 . Rent is paid to the investor at the start of each month for 10 . The annual eff ective interest rate is 3 . 0 3 % . For the first flat we have: • The initial monthly rental income for the first 12 months is 1 2 1 6 . 0 0 . Each subsequent year, the rent increases at the start of the year at a rate of 7 . 0 0 % p.a. effective, and is then constant for the next 12 months; • Maintenance costs are also paid by the investor from the rental income at the start of each month. The initial amount is 6 7 . 5 6 per month, and is fixed for12 months. Like the rent, it increases at the start of each subsequent year at a rate 0 . 7 0 % p.a. effective. For the second flat we have: • The initial monthly rental income for the first 12 months is 7 5 0 . Each subsequent year, the rent increases at the start of the year by a fixed amount. The total annual increase is 7 5 % , which is divided equally between the number of monthly rental payments. • Maintenance costs are paid at the start of each month. The initial amount is 4 4 . 1 2 per month, and is fixed for 12 months. Like the rent, it increases at the start of each subsequent year. The amount by which it increases is fixed as 9 . 2 9 % of the increase in rent. Taxes on both properties are paid at the start of every month at a rate 1 8 % on the monthly rental income net of maintenance costs (that is, monthly rental income minus the maintenance costs). After 1 0 both properties are sold. Their value has increased at an annualrate of 1 . 9 4 % p.a. and capital gains taxes (CGT) are paid at a rate of 1 8 %on the capital gains.                                                          There are three tasks you have to complete:                                                                                                   1) Computing the Net Present Value (NPV) of the cash flow at the given 3 . 0 3                                               2) Computing the Internal Rate of Return (IRR) for the two parts of the investment project.                           3) Compare the investments in the two flats.                                                                                                use excel

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An individual invests 9 3 5 4 1 4 (pounds) to purchase two flats that are going to be rented to provide a monthly rental income to the investor. The first flat costs 608019 and the second flat costs 3 2 7 3 9 5 . Rent is paid to the investor at the start of each month for 10 . The annual eff ective interest rate is 3 . 0 3 % . For the first flat we have: • The initial monthly rental income for the first 12 months is 1 2 1 6 . 0 0 . Each subsequent year, the rent increases at the start of the year at a rate of 7 . 0 0 % p.a. effective, and is then constant for the next 12 months; • Maintenance costs are also paid by the investor from the rental income at the start of each month. The initial amount is 6 7 . 5 6 per month, and is fixed for12 months. Like the rent, it increases at the start of each subsequent year at a rate 0 . 7 0 % p.a. effective. For the second flat we have: • The initial monthly rental income for the first 12 months is 7 5 0 . Each subsequent year, the rent increases at the start of the year by a fixed amount. The total annual increase is 7 5 % , which is divided equally between the number of monthly rental payments. • Maintenance costs are paid at the start of each month. The initial amount is 4 4 . 1 2 per month, and is fixed for 12 months. Like the rent, it increases at the start of each subsequent year. The amount by which it increases is fixed as 9 . 2 9 % of the increase in rent. Taxes on both properties are paid at the start of every month at a rate 1 8 % on the monthly rental income net of maintenance costs (that is, monthly rental income minus the maintenance costs). After 1 0 both properties are sold. Their value has increased at an annualrate of 1 . 9 4 % p.a. and capital gains taxes (CGT) are paid at a rate of 1 8 %on the capital gains.                                                          There are three tasks you have to complete:                                                                                                   1) Computing the Net Present Value (NPV) of the cash flow at the given 3 . 0 3                                               2) Computing the Internal Rate of Return (IRR) for the two parts of the investment project.                           3) Compare the investments in the two flats.                                                                                                use excel

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