Am stuck in finding solutions to the following questions

(1) Calculate the combined present value of an immediate annuity payable monthly in arrears such that payments are f1,000 pa for the first 6 years and $400 pa for the next 4 years, together with a lump sum of $2,000 at the end of the 10 years. [3] (ii) Calculate the amount of the level annuity payable continuously for 10 years having the same present value as the payments in (i). [3] (iii) Calculate the accumulated values of the first 7 years' payments at the end of the 7th year for the payments in (i) and (ii). [3]A loan of nominal amount of $100,000 is to be issued bearing interest payable quarterly in arrear at a rate of 8% pa. Capital is to be redeemed at $105% on a coupon date between 15 and 20 years after the date of issue, inclusive, the date of redemption being at the option of the borrower. (i) An investor who is liable to income tax at 40% and tax on capital gains at 30% wishes to purchase the entire loan at the date of issue. Calculate the price she should pay to ensure a net effective yield of at least 6% pa. [9] (ii) Exactly 10 months after issue the loan is sold to an investor who pays income tax at 20% and capital gains tax at 30%. Calculate the price this investor should pay to achieve a net yield of 6% pa on the loan: (a) assuming redemption at the earliest possible date (b) assuming redemption at the latest possible date [6] (iii) Explain which price the investor should pay to achieve a yield of at least 6% pa. [2] [Total 17](i) Describe the risk characteristics of a government-issued, conventional, fixed interest bond. [2] (ii) A particular government bond is structured as follows: Annual coupons are paid in arrears of 8% of the nominal value of the bond. After five years, a capital payment is made, equal to half of the nominal value of the bond. The capital is repaid at par. The repayment takes place immediately after the payment of the coupon due at the end of the fifth year. After the end of the fifth year, coupons are only paid on that part of the capital that has not been repaid. At the end of the tenth year, all the remaining capital is repaid. Calculate the purchase price of the bond per f100 nominal, at issue, to provide a purchaser with an effective net rate of return of 6% per annum. The purchaser pays tax at a rate of 30% on coupon payments only. [5] [Total 7]