solve the questions below

Given that /=0.07 , calculate: (1) (6) (6) (iIT) (4) (iv) of (2) 2 Calculate the annual effective rate of discount that is equivalent to a rate of interest of 4% pa convertible monthly. 3 (1) Calculate the effective annual rate of interest corresponding to: (a) a nominal rate of interest of 11% po convertible half-yearly (b ) a nominal rate of interest of 12% po convertible monthly. [2] (11) Calculate the rate of interest convertible monthly corresponding to: (a) an effective rate of interest of 14.2% po (b) a nominal rate of interest of 11% po convertible three times a year. [3] [Total 5] 4 The constant nominal rate of interest convertible quarterly is 15% po. Calculate the accumulated value after 7 years of a payment of $300. 5 E250 is invested at a discount rate of 18% po convertible monthly for the first 3 months followed by an interest rate of 20% po convertible quarterly for the next 9 months. Calculate the accumulated sum at the end of the year. 6 Assuming a force of interest of 9% po, calculate the accumulated value of $6.34 after: (i) 3 months (11) 3 years (III) 7 years and 5 days.(1) Calculate the accumulated value after 6 months of an investment of f100 at time 0 using the following rates of interest: (a) a force of interest of 5% po (b) a rate of interest of 5% pa convertible monthly (c) an effective rate of interest of 5% po. [3] (ii) Explain why the answer obtained in (i)(a) is higher than the answer obtained in (1)(c). [2] [Total 5] The force of interest at time t is: 0.04 Ost