(ii) Explain how the monetary authorities of a country can use the following techniques to expand or contract the money supply: (a) open market operations (b) funding minimum reserve requirements. Explain why the techniques discussed in (i) may fail to give complete control over the stock of money in circulation. [9] [7] [Total 16] Mortality of a group of lives is assumed to follow Gompertz' law. Calculate , for a 30-year old and a 70-year old, given that , is 0.003 for a 50 year old and 0.01 for a 60-year old. [4] (ii) Explain how the monetary authorities of a country can use the following techniques to expand or contract the money supply: (a) open market operations (b) funding minimum reserve requirements. Explain why the techniques discussed in (1) may fail to give complete control over the stock of money in circulation. [9] [7] [Total 16] Mortality of a group of lives is assumed to follow Gompertz' law. Calculate , for a 30-year old and a 70-year old, given that , is 0.003 for a 50 year old and 0.01 for a 60-year old. [4]