d$.$ A security has a cost of $$1,000$ and will return $$3,000$ after $4$ years. What rate of return does the security provide? Round your answer to two decimal

places.

e$.$ Suppose California's population is $36\mathrm{.}8$ million people, and its population is expected to grow by $2\%$ annually. How long will it take for the population

to double? Round your answer to the nearest whole number.

$35$ years

f$.$ Find the PV of an ordinary annuity that pays $$1,000$ each of the next $4$ years if the interest rate is $12\%.$ Then find the FV of that same annuity. Round

your answers to the nearest cent.

PV of ordinary annuity: $$3037\mathrm{.}35$

FV of ordinary annuity: $$4779\mathrm{.}33$

g$.$ How will the PV and FV of the annuity in part $f$ change if it is an annuity due rather than an ordinary annuity? Round your answers to the nearest cent.

$\backslash$table$[[$PV of annuity due: $$,3401\mathrm{.}83],[$FV of annuity due: $$,5352\mathrm{.}85]]$

h$.$ What will the FV and the PV for parts a and c be if the interest rate is $8\%$ with semiannual compounding rather than $8\%$ with annual compounding?

Round your answers to the nearest cent.

$FV$ with semiannual compounding: $$,0636\mathrm{.}63Q$

$PV$ with semiannual compounding: $$\frac{,}{b}ar(66\mathrm{.}64)$

i$.$ Find the annual payments for an ordinary annuity and an annuity due for $8$ years with a PV of $$1,000$ and an interest rate of $7\%.$ Round your answers

to the nearest cent.

j$.$ Find the PV and the FV of an investment that makes the following end$-$of$-$year payments. The interest rate is $7\%.$

If the TVM is the only consideration, what nominal rate will cause all of the banks to provide the same effective annual rate as Bank A$?$ Round

your answers to two decimal places.

Suppose you don't have the $$5,500$ but need it at the end of $1$ year. You plan to make a series of deposits $-$ annually for A$,$ semiannually for $B,$

quarterly for $C,$ monthly for $D,$ and daily for $E-$ with payments beginning today. How large must the payments be to each bank? Round your

answers to the nearest cent.

Even if the five banks provided the same effective annual rate, would a rational investor be indifferent between the banks?

It is more likely that an investor would prefer the bank that compounded frequently.

I. Suppose you borrow $$14,000.$ The interest rate is $7\%,$ and it requires $4$ equal end$-$of$-$year payments. Set up an amortization schedule that shows the

annual payments, interest payments, principal repayments, and beginning and ending loan balances. Round your answers to the nearest cent. If your

answer is zero, enter $"0".$

Choose the correct graph that shows how the payments are divided between interest and principal repayment over time.

The correct graph is $v.$