Hi, if someone could provide a solution to these questions that would be great, thanks! Answers are shown at the bottom, just need help getting to them.

iPad 19:39 Financial Mathematics Sheet 3 1. A small business owner is under obligation to repay to a bank E6280 in four years time, 8460 in 7 years time and f7350 in 13 years time. The owner is reviewing future financial commitments and is considering the following offering the following option to the bank namely to discharge these debts by making a single payment in 5 years time. Given that the force of interest is constant and equal to lnl.08 determine using present values the size of single repayment that will clear the loan. 2. A company has obtained a loan in which it will make 3 repayments as follows. After one year it will make the first repayment X, after three years it will make a a second repayment, twice the size of the first and after 5 years it will make the last repayment equal to the first payment. Determine the present value ofthis series of payments with an annual interest rate of ipa. If instead it can change its repayments to a single sum equal to kx at the ofthe 5th year period show that the annual interest rate is given by (k-1) 3. In return for a single payment of 1000 a building society offers the following alternative choices benefits: (a) a lump sum of 1330 after 3 years; b) a lump sum of 1550 after 5 years An investor who decides to take up this offer must specify which benefit he or she is selecting when he or she makes the single payment. For each savings plan ifinterest is compounded annually determine which scheme gives the greater retum. If interest is compounded monthly for the first scheme and daily for the second scheme determine the interest rates for the two schemes 4. In return for a loan of 6000 the amount paid at the end of the year is f6375. Determine the annual interest rate. Ifinterest is paid quarterly what is the corresponding interest rate? If the borrower elects to pay the interest monthly what is the equivalent interest rate? What about interest paid daily? 1. E18007 2, Xv0 3. (a 9.97% (b) 9.16%; 9.61 monthly and 10.95%daily 4. 6.119%, 6.12%, 7.30%. 34%