(1) A commercial real estate developer plans to borrow money to finance an upscale mall in an exclusive
area of the city. The developer plans to get a loan that will be repaid with uniform payments of
$475,000 beginning in year 2 and ending in year 16. How much will a bank be willing to loan at an
interest rate of 14% per year?
The bank will be willing to loan the developer a sum of? 2536982.429
(2) Civil engineering consulting firms that provide services to outlying communities are vulnerable to a
number of factors that affect the financial condition of the communities, such as bond issues, real estate
developments, etc. A small consulting firm entered into a fixed-price contract with a spec home builder,
resulting in a stable income of $315,000 per year in years 1 through 5. At the end of that time, a mild
recession slowed the development, so the parties signed another contract for $160,000 per year for 4
more years. Determine the present worth of the two contracts at an interest rate of 10% per year.
The present worth of the two contracts is determined to be? $1,752,032.23
(3) What is the equivalent annual cost in years 1 through 10 of a contract that has a first cost of $78,000
in year 0 and annual costs of $19,000 in years 3 through 10? Use an interest rate of 10% per year.
The equivalent annual cost is determined to be? 26327.58292
(4) How much will Kingston Technologies have to pay each year in 11 equal payments, starting 2 years
from now, to repay a $800,000 loan. The interest rate is 15% per year?
Kingston Technologies will have to pay $ each year to repay the loan ?
(5) Lifetime savings accounts, known as LSAs, allow people to invest after-tax money without being
taxed on any of the gains. If an engineer invests $10,000 now and $10,000 each year for the next 11
years, how much will be in the account immediately after the last deposit, provided the account grows
by 11% per year?
After the last deposit, the balance in the account will be? $227,131.87
(6) How much money would be accumulated 19 years from now from deposits of $13,000 per year for 5
consecutive years, starting 5 years from now, if the interest rate is 10% per year.
The amount that would be accumulated is determined to be ? 205855.7
(7) A company that manufactures air-operated drain valve assemblies currently has $150,000 available
to pay for plastic components over a 5-year period. If the company spent only $52,000 in year 1, what
uniform annual amount can the company spend in each of the next 4 years to deplete the entire
budget? Let i = 8% per year.
The uniform annual amount the company can spend is ? 36906.33
(8) Attached
Answer – x=$123.9198
(9) The City of San Antonio is considering various options for providing water in its 50-year plan,
including desalting. One brackish aquifer is expected to yield desalted water that will generate revenue
of $4.1 million per year for the first 4 years, after which less production will decrease revenue by 10%
per year each year. If the aquifer will be totally depleted in 21 years, what is the present worth of the
desalting option revenue at an interest rate of 7% per year?
The present worth of the desalting option revenue at an interest rate of 7% per year is determined to be
?
Answer = $25,037,593.83