c. Find the PV of $1,000 due in 4 years if the discount rate is 8%. Round your answer to the nearest cent.

$

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

%

e. Suppose California's population is 34.6 million people, and its population is expected to grow by 3% annually. How long will it take for the population to double? Round your answer to the nearest whole number.

f. Find the PV of an ordinary annuity that pays $1,000 each of the next 4 years if the interest rate is 14%. Then find the FV of that same annuity. Round your answers to the nearest cent.

PV of ordinary annuity: $ FV of ordinary annuity: $

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.

PV of annuity due: $ FV of annuity due: $

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: $ PV with semiannual compounding: $

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 6%. Round your answers to the nearest cent.

Annual payment for ordinary annuity:	$
Annual payment for annuity due:	$

j. Find the PV and the FV of an investment that makes the following end-of-year payments. The interest rate is 6%.

Year	Payment
1	$100
2	$300
3	$400

Round your answers to the nearest cent.

PV of investment: $ FV of investment: $

k. Five banks offer nominal rates of 4% on deposits, but A pays interest annually, B pays semiannually, C pays quarterly, D pays monthly, and E pays daily. Assume 365 days in a year.

What effective annual rate does each bank pay? If you deposit $4,000 in each bank today, how much will you have in each bank at the end of 1 year? 2 years? Round your answers to two decimal places.

	A		B		C		D		E
EAR
FV after 1 year
FV after 2 years

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.

	B		C		D		E
Nominal rate

Suppose you don't have the $4,000 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.

	A		B		C		D		E
Payment

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

moreless frequently.

l. Suppose you borrow $16,000. The interest rate is 6%, 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".

	Beginning			Repayment	Ending
Year	Balance	Payment	Interest	of Principal	Balance
1
2
3
4