$1\mathrm{.}1$ Calculate the correct $122-$day rate given that the

$90-$day rate is $4\mathrm{.}75\%,$ and the

$182-$day rate is $5\mathrm{.}15\%.$

$1\mathrm{.}2$

Calculate the future value of a R$10000000$ investment after a period of $5-$years. The interest rate on

this investment is $9\mathrm{.}25\%$ nacs.

$1\mathrm{.}3$ You quote a client an interest rate of $5\mathrm{.}50\%$ nacm. They want a semi$-$annual rate.

What rate should you quote them?

$1\mathrm{.}4$

How much must be invested today if you require a lump sum of R$2000000$ in $10$ years$$ time if you can

earn $9\mathrm{.}75\%$ pa$?$

$1\mathrm{.}5$ What is the equivalent nominal weekly rate $($nacw$)$ of an effective rate of $6\%$ pa$?$

$1\mathrm{.}6$ Calculate the NPV of the following set of cash flows:

Initial cost of the investment R$11500000$

Expected income at the end of year $1$ R$750000$

Expected income at the end of year $2$ R$1000000$

Expected income at the end of year $3$ R$1250000$

Expected selling value at the end of year $4$ R$14500000$

The risk$-$free rate to applied is $5\%$

$1\mathrm{.}7$

How many compounding periods must be used when converting from a daily nominal rate to its$$

equivalent effective rate?

$1\mathrm{.}8$

Calculate the amount that would have been accumulated in your savings fund if you invest R$1000$ at

the start of each month over a period of $10$ years. The rate that you can earn is $7\mathrm{.}5\%$ nacm.

$1\mathrm{.}9$ What is the IRR of the following cash flows?

Initial cost of the investment R$15000000$

Expected income at the end of year $1$ R$1500000$

Expected income at the end of year $2$ R$1500000$

Expected income at the end of year $3$ R$1500000$

Expected income at the end of year $4$ R$1500000$

Expected redemption value of the investment at the end of year $4$ is R$15000000$

$1\mathrm{.}1$

Calculate the amount to be repaid monthly on a $25-$year mortgage bond of R$2500000$ if the interest

rate is quoted at $8\%$ nacm.

$1\mathrm{.}11$

How much interest will be earned on a R$20000000$ investment over a period of $185-$days earning an

interest rate of $6\mathrm{.}5\%$ p$.$a$?$

$1\mathrm{.}12$ Convert $6\%$ nacs to its$$ equivalent effective rate.