How can I convert interest rates from one day count and frequency to another using Financial Derivatives Toolbox 5.2 (R2008a)?

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I want to convert an interest rate that is specified in a certain day count (basis), at certain frequency. I want to convert this interest rate to another day count, in a different frequency.

Accepted Answer

MathWorks Support Team
MathWorks Support Team on 27 Jun 2009
You can convert interest rates from one day count to another and from one frequency to another as below. The code first converts the given interest rate to a discount factor, and then uses the discount factor to convert to interest rate. During each conversion we specify different day count and frequency.
% Dummy dates for calculation purpose
StartDates = ['15-Feb-2000'];
EndDates = ['15-Aug-2000'];
% Specify Frequency and Date Basis for Old Interest Rate
Compounding_old = 2;
ValuationDate = ['15-Feb-2000'];
Rates_old = [0.05];
Basis_old = 1; % 30/360 (SIA)
% Obtain Discount Factor
Disc = rate2disc(Compounding_old, Rates_old, EndDates, StartDates, ValuationDate, Basis_old);
% Specify Frequence and Date Basis for New Interest Rate
Compounding_new = 4;
Basis_new = 2; % For actual/360
% Obtain New Interest Rate
Rates_new = disc2rate(Compounding_new, Disc, EndDates, StartDates, ValuationDate, Basis_new)

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