Due to the high crime rate in the city center, the state council in partnership with the police has installed CCTV in several “hotspot” areas. The installation of the CCTV cost USD1000000. The cost of CCTV maintenance in the first year is USD500,000, USD700000 in the second year, USD950000 in the third year, USD990000 in the fourth year and costs are realized at the end of each year. On the other hand, the installation of CCTV will help to reduce crime in that area and is predicted to bring about a benefit of USD2000000 for the first and second year and a benefit of USD 3000000 for the third and fourth year. At the end of the fourth year, the CCTV will be replaced by a new one and it can be resold as second hand for USD200000. Assume the discount rate of 3% is used. Calculate the present value of net benefits assuming that the benefits are realized at the beginning of each of the three years. Also, draw the timeline of benefits and costs.
Due to the high crime rate in the city center, the state council in partnership with the police has installed CCTV in several “hotspot” areas. The installation of the CCTV cost USD1000000. The cost of CCTV maintenance in the first year is USD500,000, USD700000 in the second year, USD950000 in the third year, USD990000 in the fourth year and costs are realized at the end of each year. On the other hand, the installation of CCTV will help to reduce crime in that area and is predicted to bring about a benefit of USD2000000 for the first and second year and a benefit of USD 3000000 for the third and fourth year. At the end of the fourth year, the CCTV will be replaced by a new one and it can be resold as second hand for USD200000. Assume the discount rate of 3% is used.
Calculate the present value of net benefits assuming that the benefits are realized at the beginning of each of the three years. Also, draw the timeline of benefits and costs.
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