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gold was just as spectacular. The annual returns of gold are shown in Table 4.5.

ID: 2657283 • Letter: G

Question

gold was just as spectacular. The annual returns of gold are shown in Table 4.5. Gold prices have been very volatile, increasing dramatically for one or two years and then experiencing sI ignificant declines the next year or two. a. Compute the rate of return in gold prices that occurred during the three weeks between the last day of 1979 and the January 21, 1980, peak. b. By the end of 1980, gold had dropped to $589.75 per ounce. Compute the rate of return from the peak to the end of 1980. c. Imagine that you invested $1,000 in gold at the end of 1999. Use the returns in Table 4.5 to determine the value of the investment at the end of 2015.

Need help with (C) calculating to 2015

TABLE 4.5 Annual Gold Returns Since 1975 Year 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 Annual Gold Return Annual Gold Return -19.86% -4.10% 22.64% 37.01% 126.55% 15.19% 32.60% 14.94% -16.31% 19.19% 5.68% 21.31% 22.21% -15.26% -2.84% -1.47% -10.07% 5.75% 17.68% -2.17% 0.98% 1996 1997 1998 1999 -4.59% -21.41% -0.83% 0.85% -5.44% 0.75% 25.57% 19.89% 4.65% 17.77% 23.20% 31 .92% 4.32% 25.04% 29.24% 8.93% 8.26% 27.33% 0.12% -11.87% 6 2001 2002 2003 2004 2005 10 12 13 16 17 18 19 20 21 2007 2008 2009 2010 2011 2012 2013 2014 2015 Data Source: Kitco (www.kitco.com) gold was just as spectacular. The annual returns of gold are shown in Table 4.5. Gold prices have been very volatile, increasing dramatically for one or two years and then experiencing significant declines the next year or two. a. Compute the rate of return in gold prices that occurred during the three weeks between the last day of 1979 and the January 21, 1980, peak. b. By the end of 1980, gold had dropped to $589.75 per ounce. Compute the rate of return from the peak to the end of 1980 c. Imagine that you invested $1,000 in gold at the end of 1999. Use the returns in Table 4.5 to determine the value of the investment at the end of 2015

Explanation / Answer

Greetings,

Since you have asked only about part (c), so I am only answering that part only.

Investment at the end of 2015 can be calculated by compounding g the returns as under -

Investment at the beginning of 2000 = 1000

Investment at the end of 2015 = 1000 * (1-0.0544)*(1+0.0075)*(1+0.2557)*(1+0.1989)*(1+0.0465)*(1+0.1777)*(1+0.232)*(1+0.3192)*(1+0.0432)*(1+0.2504)*(1+0.2924)*(1+0.0893)*(1+0.0826)*(1-0.2733)*(1+0.0012)*(1-0.1187) = 3661 (approx)

The rate of return of 1999 is to be ignored as investment was made at the end of 1999.