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9. In 1980, the nominal annual interest rate was 13.4%, while the annual inflation rate was 12.4%. What was the real interest rate in 1980?

9.

In 1980, the nominal annual interest rate was 13.4%, while the annual inflation rate was 12.4%.

What was the real interest rate in 1980? Enter your answer in the following format: + or - 0.1234 Hint: Answer is between 0.0078 and 0.0096

11.

Suppose you have four stccks in your portfolio. The stock weights and their previous year returns are shown below.

Stock Weight Rate of Return
IBM 50% 8.30%
Starbucks 25% 12.50%
Walmart 25% 4.70%
Ford 0% -13.50%

How much is your portfolio's rate of return in the previous year? Enter your answer in the following format: 0.1234 Hint1: Portfolio return is the weighted return, i.e., w1*r1 + w2*r2 + w3*r3 + w4*r4 Hint2: Answer is between 0.0744 and 0.0946

12.

Researchers forecast the possible five economy states and their probabilities for the year 2023 as shown below. Also provided are the Stock return estimates in each of those five economic states.

Economy State Probability Stock Returns
Big Recession 0.20 -27.0%
Mild Recession 0.15 -7.0%
Normal 0.40 15.0%
Mild Boom 0.15 30.0%
Mega Boom 0.10 45.0%

How much is the standard deviation of stock returns in the year 2023? Enter your answer in the following format: 0.1234 Hint: Answer is between 0.2050 and 0.2456

15.

Researchers forecast the possible five economy states and their probabilities for the year 2023 as shown below. Also provided are the Stock return estimates in each of those five economic states.

Economy State Probability Stock Returns
Big Recession 0.20 -27.0%
Mild Recession 0.15 -7.0%
Normal 0.40 15.0%
Mild Boom 0.15 30.0%
Mega Boom 0.10 45.0%

How much is the Coefficient of Variation (CV) of stock returns in the year 2023? Enter your answer in the following format: 0.1234 Hint: Answer is between 2.3978 and 2.9248

16.

Annual returns of three stocks are given below. Two of them (Air America and Air Brazil) are airline stocks and one (Star Oil) is an oil stock. In general, when oil prices go up, airline company stocks go down and oil company stocks go up.

YEAR Air America Air Brazil Star Oil
2016 -28% 9% -2%
2017 30% -28% -5%
2018 7% 7% 9%
2019 -5% -2% -28%
2020 -2% -5% 30%
2021 9% 30% 7%

How much is the mean annual stock return? Notice that all three company stocks have the same annual return. Enter your answer in the following format: 0.1234 Hint: Answer is between 0.0169 and 0.0200

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