# Intermediate Financial Management Calculation Problems

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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.

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