Consider an annuity for 10 years, whose payments vary in
geometric progression. An annual effective interest...
Consider an annuity for 10 years, whose payments vary in
geometric progression. An annual effective interest rate of 6% is
used. Obtain the financial value at t = 29/05/2010 of this annuity
considering different cases:
Annual payments increasing 3% annually. First payment (€1,650;
29/05/2011).
Annual payments increasing 5% annually. First payment (€1,650;
29/05/2011).
Monthly payments increasing 0.3% monthly. First payment (€175;
29/06/2010).
Monthly payments, constant during the year and increasing 4%
annually. First payment (€175; 29/06/2010).
Solutions
Expert Solution
Refer below solution, please comment if any query. All the
best!
Consider a level annuity-due with annual payments, and an annual
interest rate of 6%. The value of the annuity-due, on the day of
its first payment, is $5,231.50. Using the same interest rate, the
value of this annuity on the day of its last payment, is
$16,778.13. Find the number of payments and the amount of the level
payment for this annuity.
An annuity pays $250 at the end of each semi-annual period for
10 years. The payments are made directly into a savings account
with a nominal interest of 4.85% payable monthly, and they are left
in the account. Find the effective interest rate for the
semi-annual period and use it to calculate the balance immediately
after the last payment.
For 50000, Smith purchases a 36-payment annuity-immediate with
monthly payments. Assume an effective annual interest rate of
12.68%. For each of the following cases find the unknown amount
X.
(a) The first payment is X and each subsequent payment is 50
more than the previous one.
(b) The first payment is X and each subsequent payment until
the 18th pay- ment (and including the 18th payment) is 0.2% larger
than the previous one. After the 18th payment, each subsequent
payment...
Consider a $12,000 loan with 4 equal annual payments and 10%
interest.
a. Calculate the annual payment, n = 4, r = 0.10.
b. Prepare a complete loan payment schedule table for this loan.
You need the time period, the beginning principal, payment,
interest paid, principal paid, and ending principal in your
table.
c. Now assume that the loan is fully amortized over 4 years,
however, the interest rate is variable. That is, the bank changes a
different rate each...
A bond pays 7% annual interest in semi-annual payments for 10
years. The current yield on similar bonds is 9%. To determine the
market value of this bond, you must find the interest factors (IFs)
for 10 periods at 7%. find the interest factors (IFs) for 20
periods at 4.5%. find the interest factors (IFs) for 10 periods at
9%. find the interest factors (IFs) for 20 periods at 3.5%.
Madelyn has a loan to be repaid by 16 annual payments at an
effective annual interest rate of 5%. Payments 1-10 are $600 each,
payments 11-14 are $380 each, and the last 2 payments are $570
each.
The interest portion in Madelyn's 13th payment is?
Madelyn has a loan to be repaid by 16 annual payments at an
effective annual interest rate of 5%. Payments 1-10 are $600 each,
payments 11-14 are $380 each, and the last 2 payments are $570
each.
The interest portion in Madelyn's 13 th payment is?
(I have already posted this question and they got 21.95%, which
is incorrect!)
Mr. Smart borrowed $25,000 from a bank on annuity for 2 years
at 10% annual interest compounded and payable semiannually (every
six months). Calculate the semiannual payments and provide a table
that shows periodic payment, balance, interest payment, payment to
principal for each payment as well as total amount which Mr. Smart
will pay to the bank for the borrowed amount including interest and
principal payments in the entire period of two years.