Question 1 The mutual fund prices at the end of each month for the 12 months of 2018 are given in Table 1-1. Table 1-1: Mutual fund price for 2018 Month Price January 100 February 105 March 108 April 109 May 110 June 112 July 113 August 111 September 109 October 112 November 113 December 112 (a) Construct a five-month moving average model to forecast the mutual fund price for Jan 2019. (8 marks) (b) Apply the simple exponential smoothing method with a smoothing constant of 0.4 to make forecast. If the first observation is taken as the initial value, what is the predicted mutual fund price for March 2018? What is the forecast error for March 2018? (8 marks) (c) Compare the two (2) different smoothing methods used in 1(a) and 1(b) in terms of their sensitivities to changes in data. (hint: calculation is not required). (4 marks)