I need help with homework questions.

Please complete each question and show any calculations/formulas that are necessary.

1.Juilet has a 10-year mortgage of $350,000 with an interest rate of 4.5% APR, compounded semi-annually, Mortgage payments are made at the beginning of each month. What is the monthly mortgage payment?

2.A 10 year investment will pay $2,500 at the end of this year, and the payments will grow at a rate of 5% per year. The required return is 15%. What is the present value of this investment?

3.An investment will pay $25 per year (indefinitely), starting in one year's time. The annual payments will grow at a rate of 3% per year. If the price of this investment is $200, what is the rate of return?

4.Mike Smith just turned 16 years old. He wishes to buy a used car in one year, and he is willing to spend $5,000. He plans to work part-time and put all his monthly earnings into a bank account that will pay 0.5% interest per month. How much must he save per month to be able to purchase the car in one year?

5.Given the following information, calculate the rate of return.

price =$501.88

time to maturity = 10 years

annual payment = $100

type = ordinary annuity

6.what is the effective annual rate on an investment that pays an interest rate of 8.25% continuously?

7.We are given the following information on a bond issue:

Terms

Amount of issue $150 million

Issue date - 3/1/2020

maturity date - 3/1/2043

face value = $1000

annual coupon = 5.25%

yield to maturity = 5%

coupon payment = semi-annual; 3/1 and 9/1

security - unsecured

what is the price on this bond?

8.Which of the following conditions will increase the interest rate risk on a bond?

I. shorter time to maturity

II. longer time to maturity

III. lower coupon rate

IV. higher coupon rate

9.XYZ Co is planning to issue stripped bonds with a face value of $100 and maturity of 10 years. What is the price of each stripped bond if the yield to maturity on similar bonds is 5.5% compounded semi-annualy?

10. Today is December 1, 2019. A bond with a coupon rate of 7.6% has an invoice price of $1,088. The issue date on the bond is May 1, 2018, and the maturity date on the bond is May 1, 2028. the bond makes semi-annual coupon payments on May 1 and November 1. What is the clean price on this bond?

11. A firm has a bond issue with face value of $1000, a 7% coupon rate, and nine years to maturity. the bond makes coupon payments every six months and is currently priced at $1,067.89. What is the yield to maturity on this bond?

12. what is the duration of a five year bond with a coupon rate of 7%, a yield to maturity of 8%, semi-annual coupon payment, and a face value of $1000?