Group project: Work with your group and answer the following questions for the case studies indicated. First National Bank You have applied for a job with a local bank. As part of its evaluation process, you must take an examination on time value of money analysis covering the following questions: B$.$ What's the future value of $\backslash (\backslash$$ $100\backslash )$ after $3$ years if it earns $\backslash (4\backslash \%\backslash ),$ annual compounding? C$.$ What's the present value of $\backslash (\backslash$$ $100\backslash )$ to be received in $3$ years if the interest rate is $\backslash (4\backslash \%\backslash ),$ annual compounding? D$.$ What annual interest rate would cause $\backslash (\backslash$$ $100\backslash )$ to grow to $\backslash (\backslash$$ $119\mathrm{.}10\backslash )$ in $3$ years? E$.$ If a company's sales are growing at a rate of $\backslash (10\backslash \%\backslash )$ annually, how long will it take sales to double? F$.$ What's the difference between an ordinary annuity and an annuity due? What type of annuity is shown here? How would you change it to the other type of annuity? G$.$ What is the future value of a $3-$year, $\backslash (\backslash$$ $100\backslash )$ ordinary annuity if the annual interest rate is $\backslash (4\backslash \%\backslash )?$ What is its present value? What would the future and present values be if it was an antuity due? What would the present value be if this was a perpetuity? old investor have to save each year to accumulate the same amount at $65$ as the $20-$year$-$old investor? J$.$ What is the present value of the following uneven cash flow stream? The annual interest rate is $\backslash (4\backslash \%\backslash ).$ K$.$ Will the future value be larger or smaller if we compound an initial amount more often than annually $($e$.$g$.,$ semiannually, holding the stated $($nominal$)$ rate constant$)?$ Why? L$.$ Define $($a$)$ the stated $($or quoted or norninal$)$ rate, $($b$)$ the periodic: rate, and $($c$)$ the effective annual rate $($EAR or EFF$\backslash \%).$ M$.$ What is the EAR corresponding to a nominal rate of $\backslash (4\backslash \%\backslash )$ compounded semiannually? Compounded quarterly? Compounded claily? N $.$ What is the future value of $\backslash (\backslash$$ $100\backslash )$ after $3$ years under $\backslash (4\backslash \%\backslash )$ semiannual compounding? Quarterly compounding? Save your assignment. When you have completed the assignment, save a copy for yourself in an easily accessible place. Upload a copy of the assignment to Canvas by the due date in the syllabus.