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(4 (a) 20 deposited at 3% followed by n deposits at 4% (b) n deposit at 3% followed by n deposit at 4% Question 3

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(4 (a) 20 deposited at 3% followed by n deposits at 4% (b) n deposit at 3% followed by n deposit at 4% Question 3 A large pension fund has a value of N$ 350 millions at the beginning of the year. During the year the fund receives contributions of N$ 80 millions, pays out benefits of NS 20 millions and has interest income of N$ 40 millions. Estimate the yield rate on the fund for each of the following cases: (a) Contributions, benefits and interest are uniformly spread throughout the year. [4] (b) Benefit payments, interest income, and 20 millions of contributions are uniformly spread throughout the year, but there is a lump sum contribution of 60 millions in September 6 (c) Same as () expect that the lump sum contributions are 50 millions on May and 10 Millions on September. (5) TOTAL: 50

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