All rates of interest given here are annual rates. Calculate the rate of interest per year which will earn the given amount of interest: a) Principal $400 time 4 years interest$112, b) Principal $800 time 7 years interest$224

Suppose you deposit m dollars at the beginning of every month in a savings account that earns a monthly interest rate of r, which is the annual interest rate divided by 12 (for example, if the annual interest rate is 2.4%, r=0.024/12=0.002). For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest, or m+n(1+r). Continuing in this fashion, it can be shown that the amount of money in your account after n months is $A_{n}=m+m(1+r)+\cdots+m(1+r)^{n-1}$. Use geometric sums to determine the amount of money in your savings account after 5 years (60 months) using the given monthly deposit and interest rate. Monthly deposits of $250 at a monthly interest rate of 0.2%

The Fort House Tea Room borrowed $17,500 for renovations at a simple interest rate of 6.85% for 4 years. The interest is to be paid annually. Find the amount of each annual interest payment.

Find the interest rate. P=$75, I=$1.50, t=2 months

At bank A, $600 is invested with an interest rate of 5% compounded annually. At bank B,$500 is invested with an interest rate of 6% compounded quarterly. Which account will have a larger balance after 10 years? 20 years

Determine the cost of the points and the new interest rate for each loan amount and interest rate. Assume each point costs 1% of the loan amount. $400,000, original APR 4.1%, 1 point with a 0.2% discount.

Find the price a purchaser should be willing to pay for the given bond. Assume that the coupon interest is paid twice a year.

$25,000 bond with coupon rate 7% that matures in 10 years; current interest rate is 6%.

Suppose you deposit in dollars at the beginning of every month in a savings account that earns a monthly interest rate of r which is the annual interest rate divided by 12 (for example, if the annual interest rate is 2.4%, r=0.024 /12=0.002). For an initial investment of m dollars, the amount of money the your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest, or m + m(1 + r). Continuing this fashion, it can be shown that the amount of money in your account after n months is $A_{n}=m+m(1+r)+\cdots+m(1+r)^{n-1}$. Use geometric sums to determine the amount of money in your savings account after 5 years (60 months) using the given monthly deposit and interest rate. Monthly deposits of $250 at a monthly interest rate of 0.2%.

To what sum will $2000 amount in eight years if invested at a 6% effective rate for the first four years and at 6% compounded semiannually thereafter?

Assume federal debt reaches about $\$ 20$ trillion in $2017$.

If interest rates remain at the $2012$ level of $2.1 \%$, find the interest payment on the debt. Discuss the change in the interest payment with a $0.5$-point increase in the interest rate.

Suppose you deposit in dollars at the beginning of every month in a savings account that earns a monthly interest rate of r, which is the annual interest rate divided by 12 (for example, if the annual interest rate is 2.4%, r=0.024 / 12=0.002). For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest, or m+m(1+r). Continuing in this fashion, it can be shown that the amount of money in your account after n months is $A_{n}=m+m(1+r)+\cdots+m(1+r)^{n-1}$. Use geometric sums to determine the amount of money in your savings account after 5 years (60 months) using the given monthly deposit and interest rate. Monthly deposits of $100 at an annual interest rate of 1.8%

You are given the yearly interest earned from a total of $18,000 invested in two funds paying the given rates of simple interest. Write and solve a system of equations to find the amount invested at each rate.$ $$ \begin{matrix} \text{Yearly Interest} & \text{Rate 1} & \text{Rate 2}\\ \text{1182} & \text{5.6\\%} & \text{6.8\\%}\\ \end{matrix} $$ $

Find the price a purchaser should be willing to pay for the given bond. Assume that the coupon interest is paid twice a year.

$10,000 bond with coupon rate 5.4% that matures in 12 years; current interest rate is 6.5%.

You are given the yearly interest earned from a total of $18,000 invested in two funds paying the given rates of simple interest. Write and solve a system of equations to find the amount invested at each rate.$ $$ \begin{matrix} \text{Yearly Interest} & \text{Rate 1} & \text{Rate 2}\\ \text{684} & \text{2.75\\%} & \text{4.25\\%}\\ \end{matrix} $$ $