1) An investment requires HK$100,000 initially and HK$150,000 in the beginning of each of the next two years. However, there is a return of an amount HK$500,000 at the beginning of the 4th year. Assume the nominal interest rate each year is 10%and interest is compounded yearly. Is this investment desirable?
Q2) Michael plans to buy a newly built flat in Yuen Long and will borrow
HK$3,000,000. Annual mortgage rate compounded monthly in 15 years term(under prime minus plan) of HSBC Bank is 2% with cash rebate of $30,000 backto the borrower, while annual mortgage rate compounded monthly in 15 years term(under interbank rate plus plan) of Bank of China is 1.7% with no cash rebate tothe borrower. Which offers should Michael choose?
Please show all workings, fast!