Gilbert is an engineer by profession and he has been saving RM 500 every month in ABC Bank for the past 10 years since he was a junior engineer. Gilbert plans to buy a condominium worth RM 650,000 located in Shah Alam with a 10% down payment towards financing the house. (a) Determine Gilbert's accumulated savings in ABC Bank if the bank offers him an interest of 3.2% compounded monthly for the first 4 years and 3.9% compounded monthly for the rest of the period. (12 marks) (b) How much is the down payment of 10% and the loan amount of 90% for the condominium? Does Gilbert have enough money to pay the down payment for the condominium? (4 marks) (c) After paying the down payment for the condominium, Gilbert applies for housing loan from XYZ Bank and the bank approves the loan. Determine the monthly installment of the housing loan, if he was offered 4.25% interest compounded monthly for 30 years. (4 marks) Below is the share price of FTSE Malaysia KLCI (KLSE) for the past 10 months. Obtain a trend value for this data using exponential smoothing with a smoothing constant of a = 0.4. Hence, find the forecasted share price for the month of APRIL 2020. (Please round up the forecasted figure to 2 decimal places). Forecast (a = 0.4) Forecast Error Date 2019-Jun 2019-Jul 2019-Aug 2019-Sep 2019-Oct 2019-Nov 2019-Dec 2020-Jan 2020-Feb 2020-Mar Price (RM) 1,672.13 1,634.87 1,612.14 1,583.91 1,597.98 1,561.74 1,588.76 1,531.06 1,482.64 1,350.89