6. Assume the annual effective interest rate is i = 2%. An individual wants to invest a capital of £100,000 and is contemplating two projects: = 0 that will generate = Project A. She buys a property for exactly £100,000 at time t income from rent. (a) If rent is paid monthly in advance and each payment is £700, how long will it take before the present value of rental payments exceeds the initial cost of purchasing the property? (b) To be more realistic assume that rent increases every three years at a rate of 1% effective per annum compound, and taxes are paid at 20% on rental income. Moreover, maintenance work for the property will cost £1,500 to be paid at the end of every 5 years (and these are not subject to tax relief). If rental payments stop after 15 years, what is the net present value (at time t = 0) of all cash flows for 15 years? (Include maintenance costs paid at t = 15 years.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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6. Assume the annual effective interest rate is i
capital of £100,000 and is contemplating two projects:
2%. An individual wants to invest a
Project A. She buys a property for exactly £100,000 at time t
income from rent.
(a)
If rent is paid monthly in advance and each payment is £700, how
long will it take before the present value of rental payments exceeds the initial cost
of purchasing the property?
10 that will generate
(b)
To be mo realistic assume that rent increases every three years at
a rate of 1% effective per annum compound, and taxes are paid at 20% on rental
income. Moreover, maintenance work for the property will cost £1,500 to be paid
at the end of every 5 years (and these are not subject to tax relief). If rental
payments stop after 15 years, what is the net present value (at time t = 0) of all
cash flows for 15 years? (Include maintenance costs paid at t = 15 years.)
Transcribed Image Text:= 6. Assume the annual effective interest rate is i capital of £100,000 and is contemplating two projects: 2%. An individual wants to invest a Project A. She buys a property for exactly £100,000 at time t income from rent. (a) If rent is paid monthly in advance and each payment is £700, how long will it take before the present value of rental payments exceeds the initial cost of purchasing the property? 10 that will generate (b) To be mo realistic assume that rent increases every three years at a rate of 1% effective per annum compound, and taxes are paid at 20% on rental income. Moreover, maintenance work for the property will cost £1,500 to be paid at the end of every 5 years (and these are not subject to tax relief). If rental payments stop after 15 years, what is the net present value (at time t = 0) of all cash flows for 15 years? (Include maintenance costs paid at t = 15 years.)
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