accounting question, homework help

An annuity is defined as a series of payments of a fixed amount for a specific number of periods.  Thus \$100 a year for 10 years is an annuity, But \$100 in year 1, \$200 in year 2, and \$400 in years 3 through 10 does not constitute and annuity.  However, the entire series does contain an annuity.  Is this statement true or false?

Problem 4-1

If you deposit \$10,000 in a bank account that pay %10 interest annually, how much will be in your account after 5 years?

4-2

What is the present value of a security that will pay \$5,000 in 20 years if securities of risk pay 7% annually?

4-12

Find the value of the following annuities.  The first payment in these annuities is made at the end of year 1, so they are ordinary annuities.

a.  \$400 per year for 10 years at 10%.

b.  \$200 per year for 5 years at 5%.

c.  \$400 per year for 5 years at 0%.

d.  Now rework parts a, b, and c assuming that payments are made at the beginning of each year; that is, they are annuities due.

4-29

Assume that your aunt sold her house on December 31, and to help close the sale she took a second mortgage in the amount of \$10,000 as part of the payment.  The mortgage has a quoted (or nominal) interest rate of 10%; it calls for payments every 6 months, beginning onJune 30, and is to be amortized over 10 years.  Now, 1 year later, your aunt must inform the IRS and the person who bought the house about the interest that was included in the two payments made during the year.  (This interest will be income to your aunt and a deduction to the buyer of the house.)  To the closest dollar, what is the total amount of interest that was paid during the first year?