Q. 4 A principal value of 200 is invested for one year: (i) The return rate over the year is estimated to be increasing linearly from 0.10 to 0.14. In this case x, = 0.04t+0.1. Find the cumulative interest rate, rate function, future value. (ii) The mean of the financial rate is defined by the integrable function 7. = 0.04u +0.10 while the variance is 7. = 0.002(1 +0.001u). Find the expectation of rate function and the expected future value. Q. 4 A principal value of 200 is invested for one year: (i) The return rate over the year is estimated to be increasing linearly from 0.10 to 0.14. In this case x, = 0.04t+0.1. Find the cumulative interest rate, rate function, future value. (ii) The mean of the financial rate is defined by the integrable function 7. = 0.04u +0.10 while the variance is 7. = 0.002(1 +0.001u). Find the expectation of rate function and the expected future value