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Ch 05: Assignment - Time Value of Money Back to Assignment Attempts Average/3 5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $2,000 will be worth $2,809.86 three years in the future, what is the implied interest rate the investor will earn on the security-assuming that no additional deposits or withdrawals are made? 07.12% O 0.47% 12.00% O 9.60% for this investment to reach If an investment of $30,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $37,791.36-assuming that no additional deposits or withdrawals are made during this time. Which of the following statements is true-assuming that no additional deposits or withdrawals are made? An investment of $50 at an annual rate of 5% will return a higher value in five years than $25 invested at an annual rate of 10% in the same time An investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time. Grade It Now Save & Continue Continue without saving for this investment to reach If an investment of $30,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $37,791.36-assuming that no additional deposits or withdrawals are made during this time. 0.42 years Which of the following statements is true-assuming that no additional deposits or withdrawals are made 3.00 years An investment of $50 at an annual rate of 5% will return a higher value in five years than $25 i 0.16 years annual rate of 10% in the same time. 7.94 years An investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time. Grade It Now Save & Continue Continue without saving Attempts Average / 3 6. Companies and growth rates Future value and present value concepts are applied in various ways, such as calculating growth rates, earnings per share, expected sales and revenues in the future, and so forth. Consider the following case: Pharmacist John S. Pemberton invented a soft drink in 1886 that eventually became not only an integral part of everyday life in the United States but also a symbol of consumerism worldwide. In 1929 the first Coca-Cola vending machines were installed in Germany, and in 1930, the German branch of the Coca-Cola Co. opened in Essen. Coca-Cola sales in Germany were 243,000 cases in 1934, 1 million cases in 1936, and 4.5 million cases in 1939. Germany was a growing market for Coca-Cola, along with other countries in Europe, before World War II. With the previous data given, calculate the company's sales growth rate for each time period in the following table: Years Growth Rate 1934-1936 1936-1939 1934-1939 (Source: "Coca-Cola GmbH and World War Two," www.gettherealfacts.co.uk/docs/gmbh.pdf) During World War II, Coca-Cola Co. cut off all syrup sales to Germany in 1940, resulting in no sales from 1943 to 1945. If Coca-Cola's sales had grown from 1939 to 1945 at the same rate that they grew between 1934 and 1939, its sales in 1945 would have been approximately cases. (Hint: Use sales data from 1939 as the present value.) Coca-Cola's worldwide sales as of December 31, 2011, was 26.7 billion cases. Assume the following sales distribution: Unit Case Volume Eastern Europe 20% Germany 16% Spain 14% Great Britain 12% 9% Italy France 8% Years Growth Rate 1934-1936 1936-1939 45.89% 1934-1939 105.7%. (Source: "Coca-di 65.10% nd World War Two," www.getthe During World Wa 102.86% pla Co. cut off all syrup sales to from 1939 to 1945 at the same rate that they grew between cases. (Hint: Use sales data from Coca-Cola's worldwide sales as of December 31, 2011, was 2 Years Growth Rate 1934-1936 1936-1939 1934-1939 85.92% (Source: "Coca-C79.28%nd World War Two," www.gettherealfacts.co. 102.86% During World Wa bla Co. cut off all syrup sales to Germany in from 1939 to 1965.10% me rate that they grew between 1934 and 1 cases. (Hint: Use sales data from 1939 as the pre Coca-Cola's worldwide sales as of December 31, 2011, was 26.7 billion a Years Growth Rate 1934-1936 1936-1939 1934-1939 79.28% (Source: "Coca- Ind World War Two," www.getthe 65.10% During World Wa pla Co. cut off all syrup sales to 205.7% from 1939 to 194 me rate that they grew between 108.54% (Hint: Use sales data from 193 Coca-Cola's worldwide sales as of December 31, 2011, was 2 Unit Case Volume Eastern Europe 20% Unit Case Volume Eastern Europe 20% Germany 16% Spain 14% Great Britain 12% Italy 9% France 8% 226.0 Other 21% 271.2 180.8 203.4 If Coca-Cola's worldwide growth were to continue at the same growth rate as it did in Germany of 10.26%, its hypothetical sales in Spain in 2053 (42 years from 2011) would be approximately ignore other factors that affect sales.) 939 and 2008, when sales grew at the rate billion cases. (Note: For this