Intermediate Financial Management Calculation Problems

You must show the detailed step by step calculation and the final answer to all problems.For calculator problems, you must show all calculator inputs.

You require use of a financial calculator the TI BA II plus.

Problem 1:

A. Calculate the PV of $100 due in 5 years compounded monthly at 12%.
B. Calculate the FV of $1000 due in 3 years at 6%.
C. Calculate the FVA of $30 due at the end of each of the next 5 years at 4%.
D. Calculate the PVA of $30 due at the end of each of the next 5 years at 4%.

Problem 2:

Compute the EAR of 12% compounded monthly.

Problem 3:

You take out an amortized loan for $10,000. The loan is to be paid in equal installments at the end of each of the next 5 years. The interest rate is 8%. Construct an amortization schedule.

Problem 4:

A. Calculate the PV of $100 due in 5 years compounded daily at 12%.
B. Calculate the FV of $1000 due in 3 years at 6% compounded quarterly.
C. Calculate the FVA of $300 due at the end of each of the next 5 years at 4%.
D. Calculate the PVA of $300 due at the end of each of the next 5 years at 4%.

Problem 5:

Compute the EAR of 10% compounded daily.

Problem 6:

You invest in a portfolio of 5 stocks with an equal investment in each one. The betas of the 5 stocks are as follows: .75, -1.2, .90, 1.3, 1.5. The risk free return is 4% and the market return is 9%.

A. Compute the beta of the portfolio
B. Compute the required return of the portfolio

Problem 7:

You are given the following probability distribution for a stock:

Pr. Outcome.5
.4 10%
.1 -6%
.5 12%

Compute the expected return, standard deviation and CV for this stock.

Problem 8:

You are given the following probability distribution for a stock:

Pr. Outcome.6
.4 -4%
.6 12%

A. Compute the expected return
B. Compute the standard deviation
C. Presuming the stock returns are normally distributed, what do these results indicate?

Problem 9:

A stock has a beta of 0.8. The market return is 14% and the risk free return is 3%. Compute the required return for this stock.