Prince deposits P10 000 into a fund today and deposits P20 000
into the same fund fifteen years later. Interest is credited at a
nominal discount rate of d compounded quarterly for the first 10
years, and at a nominal interest rate of 6% compounded semiannually
thereafter. The accumulated balance in the fund at the end of 30
years is P100 000. a) By first drawing a sketch diagram, write down
in terms of d the accumulated value of the initial deposit at the
end of 30 years. [6] b) Write down the accumulated value of the
second deposit at the end of 30 years. [5] c) Write down an
equation for the total accumulated value at the end of 30 years,
solve for d. [5]
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