Problem 9-13 Money Market Prices (LO1, CFA2) The treasurer of a large corporatio
ID: 2780466 • Letter: P
Question
Problem 9-13 Money Market Prices (LO1, CFA2) The treasurer of a large corporation wants to invest $22 million in excess short-term cash in a particular money market investment. The prospectus quotes the instrument at a true yield of 3.33 percent; that is, the EAR for this investment is 3.33 percent. However, the treasurer wants to know the money market yield on this instrument to make it comparable to the T-bills and CDs she has already bought. If the term of the instrument is 78 days, what are the bond equivalent and discount yields on this investment? (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.) Answer is not complete. Bond equivalent yield Discount yield 3.303 %Explanation / Answer
EAR = (1+BEY/n)n - 1
EAR = 3.33 % , n = 365 / 78
BEY = ((1+EAR)1/n - 1) * n
BEY = ((1+0.0333)78/365 - 1) * 365 / 78 = 0.032872 = 3.287 %
Discount yield = ( (par value - current value) / par value ) * (360 / n)
Current value = 100 / (1 + 0.0333)78/365 = 99.30242
Discount yield = ( ( 100 - 99.30242) / 100) * (360 / 78) = 0.032196 = 3.220%