Question

The treasurer of a large corporation wants to invest $43 million in excess short-term cash in a particular money market investment. The prospectus quotes the instrument at a true yield of 3.47 percent; that is, the EAR for this investment is 3.47 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 77 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 2 decimal places. Omit the "%" sign in your response.)

Bond equivalent yield %
Discount yield %

Answer 1

Answer and Explanation:

The computation is shown below:

Given that,

EAR = 3.47%

1.0347 = (1+R ×77 ÷ 365)^365 ÷ 77

Now Take 365/77th root both sides

So,

1+R × 77 ÷ 365 = 1.00722

1+R × 0.2109 = 1.00722

R × 0.2109 =0.00722

R = 0.03423

Thus, Bond Equivalent Yield = 3.423%

Now

Discount Yield = (360 × 0.03423) ÷ (365+77 × 0.03423)

= 12.3244 ÷ 367.6361

= 0.03352

Thus, Discount Yield = 3.352%