# 7 Problems | Rated A+

Problem 1
You start a new job. They give you a variety of investments for your 401K plan. You have 4 choices
A money market fund that historically has returned 2.5% per year
A long term bond fund with an average annual return of 6%
A conservative common stock fund that has earned 8% per year.
An aggressive common stock fund that has earned 14% per year.
If you want to contribute \$5000 per year for the next 20 years how much will you have with each of the options?
Problem 2
If a company just paid a dividend of \$2.00 per share the required rate of return is 9% and the growth rate is 3% then the value of the stock is
Problem 3.
You decide to buy a small office building with 1 tenant. The tenant has a lease that calls for monthly rent payments of \$2500 per month for the next 6 years. After that the lease expires. You expect to be able to increase the rent 4% per year for years 7-12. At the end of year 12 you intent to sell the building for \$200000
Create a table showing the projected cash flows for the investment assuming the next rental payment occurs one month from today.
Assuming you need to earn 11% on this investment what is the maximum price you would be willing to pay for the building today? (ignore taxes and amortization for this analysis)
Problem 4.
You want to buy a house with a \$30000 down payment. The loan amount is \$297000. The annual interest rate is 3 % and the loan is for 360 months. What are your payments?
Problem 5.
Find the the value of a preferred stock with a 6% coupon and \$100 par value with a required rate of return of 10%.
Problem 6.
Calculate the yield to maturity of a 10% coupon bond with 5 years to maturity if the bond sells for \$927.91. The face value of the bond is \$1000. Assume semiannual coupon payments.
7.
If a new company is expected to growth exponentially and pay dividends of \$1 \$2 and \$3 for the first 3 years respectively. After that time the growth is expected to be at 5% thereafter. The required rate of return is 10%. You can use the PV and the Gordon Growth model to estimate the value of the stock.