Question

1. A 6?-month ?$9000 Treasury bill with discount rate 8.671?%
was sold in 2009. Find **a.** the price of the?
T-bill, and **b.** the actual interest rate paid by
the Treasury.

**a.** The price of the? T-bill is ?$

?(Round to the nearest dollar as? needed.)

2. Suppose that ?$30,000 is invested at 7?% interest. Find the amount of money in the account after 8 years if the interest is compounded annually.

If interest is compounded? annually, what is the amount of money after t = 8 ?years?

?(Do not round until the final answer. Then round to the nearest cent as? needed.)

3. Find the compound amount for the following deposit.

?$11,000 at 6?% compounded semi-annually for 6 years.

The compound amount after 6 years will be ?$

?(Round to the nearest? cent.)

4.A gift of ?$5000 to a city grew to ?$10?,000,000 in 200 years. At what interest rate compounded annually would this growth? occur?

The interest rate would be

?(Do not round until the final answer. Then round to the nearest hundredth as? needed.)

5.Find the APY corresponding to the following nominal rate.

3?% compounded quarterly

The APY is

?(Type an integer or a decimal. Round to the nearest hundredth as? needed.)

6.Find the APY corresponding to the following nominal rate.

4?% compounded quarterly

The APY is

?(Type an integer or a decimal. Round to the nearest hundredth as? needed.)

7.Find the future value of the following ordinary annuities. Payments are made and interest is compounded as given.

R=?$8000

5?% interest compounded annually for 20 years

What is the future value of the ordinary? annuity?

?(Round to the nearest? cent.)

8.Find the future value of the following ordinary annuities. Payments are made and interest is compounded as given. R=?$4000 10?% interest compounded annually for 5 years

What is the future value of the ordinary? annuity?

?(Round to the nearest? cent.)

9.Find the future value of a 13?-year annuity due with payments of ?$2,300 and an annual compound interest rate of 7.8?%.

The future value is ?$

?(Round to the nearest ?cent.)

10. Find the monthly house payments necessary to amortize a 10.8?% loan of ?$268,300 over 30 years.

The payment size is ?$

?(Round to the nearest? cent.)

11. Find the monthly house payments necessary to amortize an 8.4?% loan of ?$274,700 over 30 years.

The payment size is ?$

?(Round to the nearest? cent.)

12. Find the payment made by the ordinary annuity with the given present value. ?$89,382?; monthly payments for

17 ?years; interest rate is 4?%, compounded monthly

The payment is ?$

?(Simplify your answer. Round to the nearest cent as? needed.)

13. Find the payment made by the ordinary annuity with the given present value. $257,688?; quarterly payments for 20 ?years; interest rate is 9?%, compounded quarterly

The payment is ?$

?(Simplify your answer. Round to the nearest cent as? needed.)

14. Find the APY corresponding to the following nominal rate. 6?% compounded semiannually

The APY is

?(Type an integer or a decimal. Round to the nearest hundredth as? needed.)

15. Find the present value of the following future amount.

?$200,000 at 12?% compounded semiannually for 20 years

What is the present? value?

?(Round to the nearest? cent.)

Answer #1

1. Number of T-bill= 9000/100 = 90 bonds with face value of 100

Price = 180*8.671/360 = 4.3355

Price of T-bills = (100 -4.3355)*90 = $8,609.805

Actual interest rate = (9000-8609.805)/8609.805 = 0.0453 = 5.53%

2. Amount of money at t = 8 = 30000*(1+0.07)^8 = 51,545.59

3. Compounded amount = 11,000*(1+0.06/2)^12 = 15,683.37

4.Interest rate(annual) = (1 + (10,000,000-5,000)/5,000)^(1/200) -1

Interest rate (annual) = (1+1999)^(1/200) -1 =0.0387 = 3.87%

Note: We have answered 4 questions (full). Only 4 questions can be answered at a time. Kindly post the others seperately for experts to answer, 4 at a time.

1.Find the present value of the following ordinary annuities.
Round your answer to the nearest cent.
Amount per Payment
Payment at End of Each
Time (Years)
Rate of Investment
Present Value
$3,300
6 months
8
12%
$
2. Find the amount of the following annuities due and interest
earned. Round your answer to the nearest cent.
Amount of
Each Deposit
Period
Rate
Time
(Years)
Amount of
Annuity
$7,500
quarterly
8%
8
$
3.Find the amount of each payment needed to...

1.)
calculate the present value of annuity. Round answer to the nearest
cent. $1800 monthly at 6.2% for 30 years. *NOTE: i keep getting
293,879.98 which is incorrect.
2.) since 2007, a particular fund returned 13.5% compounded
monthly. How much would a $6000 investment in this phone have been
worth after two years? Round your answer to the nearest cent.
3.) In the following ordinary annuity, the interest is
compounded with each payment, and the payment is made at the...

Find the future value of an ordinary annuity if payments are
made in the amount R and interest is compounded as given. Then
determine how much of this value is from contributions and how much
is from interest
R=9200, 6% interest compounded semiannually for 7 years.
The future value of the ordinary annuity is $____?
Round to the nearest cent as needed
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Round to the nearest cent...

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quarterly for 6 years, if the interest rate is 7%, compounded
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Present Values:
Please provide the calculations in MS Excel for the present
value of an $7,000 goal in 7 years at 7% discounted on an annual,
semi-annual, quarterly, monthly, and daily basis to the nearest
penny.
Future Values:
Please provide the calculations in MS Excel for a future value
of an $7,000 investment today in 7 years at 7% compounded on an
annual, semi-annual, quarterly, monthly, and daily basis to the
nearest penny.
Present Value of an Annuity:
Please provide...

Find the future value of the following ordinary annuity.
Periodic Payment
Payment Interval
Term
Interest Rate
Conversion Period
$122.00
1 month
5
years
4%
quarterly
The future value is
$nothing.
(Round the final answer to the nearest cent as needed. Round
all intermediate values to six decimal places as needed.)

a. Find the future value of the ordinary annuity. (Round your
answer to the nearest cent.) $120 monthly payment, 5.5% interest, 1
year
b. Find the future value (FV) of the annuity due. (Round your
answer to the nearest cent.) $170 monthly payment, 6% interest, 14
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Find the future value of an ordinary annuity of $1,000 paid
quarterly for 9 years, if the interest rate is 9%, compounded
quarterly. (Round your answer to the nearest cent.)

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quarterly for 4 years, if the interest rate is 8%, compounded
quarterly. (Round your answer to the nearest cent.)

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