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The volatilities in the market for 90 days are 18% and for 180 days 16.6%. In our notation we have , = 18% and , = 16.6% (treating a year as 360 days). We want to find the forward volatility for the period starting with day 91 and ending with day 180.
Treating a month as 30 days and a year as 360 days was devised for its ease of calculation by hand compared with manually calculating the actual days between two dates. Also, because 360 is highly factorable, payment frequencies of semi-annual and quarterly and monthly will be 180, 90, and 30 days of a 360-day year, meaning the payment amount ...
It refers to the 90 days before plus the 90 days after. Hence, 90 days + 90 days = 180 days. (B) Now, onto the second phrase: "this can be done 90 days after the event". This means the time span from Christmas Day (December 25, 2015) up until 90 days has elapsed after that date (March 25, 2016).
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The number of days between two dates, which is simply the difference in their Julian day numbers. The dates of moveable holidays, like Christian Easter (the calculation is known as Computus) followed up by Ascension Thursday and Pentecost or Advent Sundays, or the Jewish Passover, for a given year. Converting a date between different calendars.
For example, a one-month foreign exchange forward settles one month after the spot date—i.e., if today is 1 February, the spot date is 3 February and the one-month date is 3 March, assuming these dates are all business days. For a trade with two dates, such as a foreign exchange swap, the first date is usually taken as the spot date.
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