This is a simple function to convert a proportion gain over one time interval to a proportion gain over a different time interval. For example, you can use this function to figure out that a stock gain of 0.08 (8%) over 70 trading days corresponds to an annualized (i.e. 252-day) gain of 0.319 (31.9%).
convert.rate(rate, units.in = 1, units.out = 1)
Numeric value (or vector) representing the growth rate of an investment over a
Number of time units over which the investment had a growth rate of
Number of time units you would like to calculate a growth rate for.
Numeric value (or vector) indicating the proportion gain over
Dane R. Van Domelen
Acknowledgment: This material is based upon work supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE-0940903.
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# Calculate annualized gain for an 8% gain over a 70-day period. convert.rate(rate = 0.08, units.in = 70, units.out = 252) # Calculate the annual growth rate of a fund that gains 0.02% per day. convert.rate(rate = 0.0002, units.in = 1, units.out = 252) # Calculate the annual growth rate of a fund that gains 1% per week. convert.rate(rate = 0.01, units.in = 1, units.out = 52) # You invest in AAPL and gain 0.5% in 17 business days. Express as a 5-year # growth rate. convert.rate(rate = 0.005, units.in = 17, units.out = 252 * 5) # Your portfolio has tripled in a 13-year period. Calculate your average annual # gain. convert.rate(rate = 2, units.in = 13, units.out = 1)
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