An investor makes a deposit today and earns a continuously compounded return rate of $6\%$ over

the next five years. What continuously compounded return rate must be earned over the subsequent

five years in order to double the original investment at the end of ten years? $[7\mathrm{.}86\%]$

The two cash flow streams $(0,5,5,5,105)$ and $(0,x,x,x,x)$ are equivalent when the effective

interest rate is $5\%$ per annum. Find $x$ to $2$ decimal places. $[28\mathrm{.}2]$

At a certain interest rate $R,$ the cash flow steams $(100,-70,50,-20)$ and $(0,50,0,40)$ are equivalent.

Find $R.[20\%]$