Variable Annuity Comparison

Under what condition(s) would the two be equal?

What is the present value of a five-year annuity; with the first $3,000 payment being made three months from today, if the required return is 7% EAR? How can I calculate can you show?

1) at the time of his son birth ,a man invest a certain sum of money 8% compounded quarterly to provide payments of 6000 each for four years. the first payment to be on his son’s 20th birthday.how much does the father invest?
2) on his 45th birthday a man buys an annuity from an insurance co.which credits interest at 0.09 m=4 the annuity will provide 15 yrs of 3000monly payments to himself or his wife ,and its term will begin on his 50th b-day.what single payment does he make on his 45th b-day?

what is the formula to figure this out?

A 6 year, $1,000 IBM bond pays interest of $80 annually and currently sells for $950. What are its coupon rate, current yield, and yield to maturity?

I can only find formulas for annuities that either begin within one year or for annuities due that start immediately. How does the time gap affect the formula?

10-yr annuities, assuming they all have the same interest rate. Which of these 10-yr annuities would have the highest present value?

One that pays $500 at the beginning of every 6 months, one that pays $500 at the end of each 6 months, one that pays $1000 at the beginning of each year, or one that pays $1000 at the end of each year?

Present Value of Annuity Problem
A 30 year treasury bond is issued with face value of $1,000, paying interest of $60 per year. If the going rate for similar risk bonds increases shortly after the T-bond is issued, what happens to the 30 year Treasury bond’s: Do they go up, down or stay the same?
a. coupon rate
b. price
c. yeild to maturity
d.current yield

Based on $1,000,000 now plus $200,000 from year 6 through 15.
10% rate

The payments would start immediately. Since the payments are coming at the beginning of each period instead of the end, this is an annuity due.

What is the present value of a semi-annual ordinary annuity payment of $7,000 made for 12 years with a required annual return of 5%?
A . $65,145
B . $128,325
C . $125,195
D . $62,043

Also… how will I know if that is ordinary or due after finding out that it’s a maturity or present value problem?

I’d really appreciate some help!

$100 paid at the beginning of each month for four years at the rate of 6% compounded monthly

What are annuities, and why is it necessary to calculate their present value? Why is the calculation of the present value of any future amount important? Why is the present value of any future amount greater when the discount rate is lower? Explain your