Investment and investment strategy. Tasks with solution
Replenishment date: 21.03.2018
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Description
Investment and investment strategy. Tasks with a solution.
Sections 1-2. Intertemporal choice, finance and investment process. Investment project management
1. Determine the profitability from the purchase of 10 shares with a par value of 100 rubles at a market price of 120 rubles, if the shares were resold a year later at a price of 110 rubles and at the end of the year dividends were paid in the amount of 15% of the par value per share. There is no inflation.
2. Determine the profitability from the purchase of 10 shares with a par value of 100 rubles at a market price of 120 rubles, if the shares were resold a year later at a price of 110 rubles and at the end of the year dividends were paid in the amount of 15% of the par value per share. Inflation was 8% per annum.
3. When issuing a loan in the amount of 150 thousand rubles. for a year at R = 20% per annum, commissions were deducted in the amount of 4% of the loan amount. At what percentage per annum was the loan actually taken out?
4. You decide on which account to place the funds. The bank offers two options. The first 5% per annum or the second 4%, but with a continuous interest calculation (interest continuously compounded). Which account do you prefer? How many times will your deposit on the second account increase?
5. Consumer preferences are described by the following utility function, where C1 is consumption expenditure this year and C2 is consumption next year. His income this year is 100, next year 180. At what interest rate will the consumer be neither creditor nor debtor?
6. Hamlet's utility function, where C1 - consumption of bread in the first period of time, C2 - consumption of bread in the second period of time. The price of bread is 1 per loaf in the first and second periods. The interest rate is R = 20%. Hamlet earns 3000 in the first period and 1000 in the second period. What will Hamlet's savings be equal to?
7. Your income is 100 thousand rubles and, fortunately, will grow by 3% annually in real terms until your death in 40 years. What is the maximum amount you can save by the end of your life, if you did not spend anything and saved everything, and the banking system provided you with a real return of 0% per annum. Consider that you receive all income at the end of the year and there will be 40 such payments. Round your answer to thousands of rubles and enter only a number.
8. Your income is 100 thousand rubles and, fortunately, will grow by 3% annually in real terms until your death in 40 years. What volume of uniform annual consumption can you afford if the banking system provides you with a real return of 0% per annum. Round your answer to the nearest thousand and enter only a number.
9. The enterprise has the opportunity to purchase a machine for 10 thousand rubles and sell it in two years for 9 thousand rubles. As a result of the acquisition of the machine, the company's income at the end of each year will increase by 3,6 thousand rubles. What is the net present value of the project (NPV) if the interest rate is R = 10% per year. Give your answer in thousands of rubles and round to the second decimal place.
10. At what interest rate does this project become unprofitable (determine the IRR - the internal rate of return)?
11. The table shows the net profit / loss (in million rubles) for each year for three investment projects, calculated at the end of each of 4 years (post-numerando calculation). To solve this problem, it is recommended to use the NPV function in the financial functions of Excel
1 year 2 years 3 years 4 years
Project 1 -180 -108 72 432
Project 2 -330 90 180 216
Project 3 -100 -120 360 0
Please determine the NPV of each project, bringing it to the beginning of the first year at an interest rate of R = 20% /
12. Construction of a pigsty will cost you 6 million rubles. The service life is 6 years, the residual value is zero. You can take out a loan at 16% per annum. What is the minimum annual profit that a pigsty has to bring in order for you to undertake this project? To solve this problem, it is recommended to use the PMT function in the "Financial functions" of the Excel program.
13.
Sections 1-2. Intertemporal choice, finance and investment process. Investment project management
1. Determine the profitability from the purchase of 10 shares with a par value of 100 rubles at a market price of 120 rubles, if the shares were resold a year later at a price of 110 rubles and at the end of the year dividends were paid in the amount of 15% of the par value per share. There is no inflation.
2. Determine the profitability from the purchase of 10 shares with a par value of 100 rubles at a market price of 120 rubles, if the shares were resold a year later at a price of 110 rubles and at the end of the year dividends were paid in the amount of 15% of the par value per share. Inflation was 8% per annum.
3. When issuing a loan in the amount of 150 thousand rubles. for a year at R = 20% per annum, commissions were deducted in the amount of 4% of the loan amount. At what percentage per annum was the loan actually taken out?
4. You decide on which account to place the funds. The bank offers two options. The first 5% per annum or the second 4%, but with a continuous interest calculation (interest continuously compounded). Which account do you prefer? How many times will your deposit on the second account increase?
5. Consumer preferences are described by the following utility function, where C1 is consumption expenditure this year and C2 is consumption next year. His income this year is 100, next year 180. At what interest rate will the consumer be neither creditor nor debtor?
6. Hamlet's utility function, where C1 - consumption of bread in the first period of time, C2 - consumption of bread in the second period of time. The price of bread is 1 per loaf in the first and second periods. The interest rate is R = 20%. Hamlet earns 3000 in the first period and 1000 in the second period. What will Hamlet's savings be equal to?
7. Your income is 100 thousand rubles and, fortunately, will grow by 3% annually in real terms until your death in 40 years. What is the maximum amount you can save by the end of your life, if you did not spend anything and saved everything, and the banking system provided you with a real return of 0% per annum. Consider that you receive all income at the end of the year and there will be 40 such payments. Round your answer to thousands of rubles and enter only a number.
8. Your income is 100 thousand rubles and, fortunately, will grow by 3% annually in real terms until your death in 40 years. What volume of uniform annual consumption can you afford if the banking system provides you with a real return of 0% per annum. Round your answer to the nearest thousand and enter only a number.
9. The enterprise has the opportunity to purchase a machine for 10 thousand rubles and sell it in two years for 9 thousand rubles. As a result of the acquisition of the machine, the company's income at the end of each year will increase by 3,6 thousand rubles. What is the net present value of the project (NPV) if the interest rate is R = 10% per year. Give your answer in thousands of rubles and round to the second decimal place.
10. At what interest rate does this project become unprofitable (determine the IRR - the internal rate of return)?
11. The table shows the net profit / loss (in million rubles) for each year for three investment projects, calculated at the end of each of 4 years (post-numerando calculation). To solve this problem, it is recommended to use the NPV function in the financial functions of Excel
1 year 2 years 3 years 4 years
Project 1 -180 -108 72 432
Project 2 -330 90 180 216
Project 3 -100 -120 360 0
Please determine the NPV of each project, bringing it to the beginning of the first year at an interest rate of R = 20% /
12. Construction of a pigsty will cost you 6 million rubles. The service life is 6 years, the residual value is zero. You can take out a loan at 16% per annum. What is the minimum annual profit that a pigsty has to bring in order for you to undertake this project? To solve this problem, it is recommended to use the PMT function in the "Financial functions" of the Excel program.
13.