Exam 12: Compound Interest and Present Value

The effective rate (APY) is:

Mark Larken promised his grandson Ralph that he would give him $3,000 six years from today for graduating from high school. If money is worth 10% compounded semiannually, what is the present value of this money?

Annual means compounded once a year.

The annual rate a bank advertises is the same as the effective rate.

In the table of present value of one dollar, all table factors are less than $1.

Al Miler, the owner of Al's Garage, estimates that he will need $29,000 for new equipment in 15 years. Al decides that he will put aside the money now so that in 15 years the $29,000 will be available. His bank offers him 10% interest compounded semiannually. (Use the tables in the handbook.) Al must invest today:

Joe Diamond deposited $9,000 into the Rong Bank, which pays 12% interest, compounded quarterly. Calculate the amount Joe will have in his account at the end of four years.

Kathy Crag, the owner of The Fabric Corner, lent $15,000 to Dani Flynn to open her own card shop. Dani plans to repay Kathy at the end of 12 years with 8% interest compounded quarterly. How much will Kathy receive at the end of 12 years?

Effective rates can be seen in the compounding table for one dollar.

Abe Frill wants to attend AVP Tech. He will need to have $15,000 seven years from today. How much should Abe put in the bank today (12% quarterly) to reach his goal in the future?

John James lent Mel Karras $8,000 to open a pottery shop. Mel will repay John at the end of five years with interest, compounded quarterly, at 8%. How much will John receive at the end of five years?

The interest on $3,000 at 8% compounded semiannually for six years by using the table lookup (use table in handbook) is $1,803.

A table factor of .7312 from a present value table of $1 means that a certain rate of interest for a certain period of time will equal:

The table for the compound value of $1 has only table factors over $1.00.

Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year, Merle deposits an additional $20,000 that is also compounded semiannually at 10%. At the end of six years, the balance in Merle's account is (use the tables in the handbook):

Jim Moore opens a new savings account. He deposits $12,000 at 12% compounded semiannually. At the start of the fourth year, Jim deposits an additional $50,000 that is also compounded semiannually at 12%. At the end of six years, the balance in Jim Moore's account is (use the tables in the handbook):

Interest calculated on a balance every three months is said to be compounded quarterly.

Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. (Use the tables in the handbook.) The best deal is:

Effective rate (APY) is:

Katie Hector wants to purchase a condo in Oxford, MS, in 20 years. The cost of the condo is expected to be $180,000. Assuming she can earn 6% annually, what should Katie deposit today?