# BUSN 5200 Week 7 Homework Assignment

November 27, 2016

Question
For Week 7, please turn in the answers to the following questions:
1. (Monthly compounding) If you bought a \$1,000 face value CD that matured in nine
months, and which was advertised as paying 9% annual interest, compounded
monthly, how much would you receive when you cashed in your CD at maturity?
2. (Annualizing a monthly rate) You credit card statement says that you will be charged
1.05% interest a month on unpaid balances. What is the Effective Annual Rate
(EAR) being charged?
3. (FV of annuity due) To finance your newborn daughters education you deposit
\$1,200 a year at the beginning of each of the next 18 years in an account paying 8%
annual interest. How much will be in the account at the end of the 18th year?
4. (Rate of return of an annuity) Paul’s Perfect Peugeot says they’ll sell you a brand new
ItalianIron Man motor scooter for \$1,699. Financing is available, and the terms are
10% down and payments of \$46.57 a month for 40 months. What annual interest rate
is Paul charging you?
5. (Rate of return of an annuity) You would like to have \$1,000,000 40 years from now,
but the most you can afford to invest each year is \$1,200. What annual rate of return
will you have to earn to reach your goal?
6. (Monthly loan payment) Best Buy has a flat-screen HDTV on sale for \$1,995. If you
could borrow that amount from Carl’s Credit Union at 12% for 1 year, what would be
7. (Solving for an annuity payment) You would like to have \$1,000,000 accumulated by
the time you turn 65, which will be 40 years from now. How much would you have
to put away each year to reach your goal, assuming you’re starting from zero now and
you earn 10% annual interest on your investment?
8. (PV of a perpetuity) If your required rate of return was 12% a year, how much would
you pay today for \$100 a month forever? (that is, the stream of \$100 monthly
payments goes on forever, continuing to be paid to your heirs after your death)

9. (PV of an uneven cash flow stream) what is the PV of the following project?
(Assume r = 10%)
Year
Cash Flow
1
\$10,000
2
\$10,000
3
\$10,000
4
\$20,000
10. (FV of an uneven cash flow stream) what is the FV at the end of year 4 of the
following project?
(Assume r = 10%)
Year
Cash Flow
1
\$10,000
2
\$10,000
3
\$10,000
4
\$20,000

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