Question

An investor buys a 180 day T-bill at a bank discount quote of 3.86. The investor's...

An investor buys a 180 day T-bill at a bank discount quote of 3.86. The investor's actual annual rate of return on this investment was ______.

22.00%

17.19%

3.99%

13.99%

0 0
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Answer #1

Actual annual rate of return on the investment = [100/price - 1] * 365 / maturity days

   =[100/98.07 - 1] * 365 / 180

   =[1.01968 -1] * 365 / 180

   = 0.01968* 365 / 180

   = 3.99%

Note:-   Price of T-Bill = par value [1 - (discount rate * maturity days / 360)]

= $100 * [1 - (0.0386 * 180 / 360]

= $100 * [1 - 0.0193]

= 98.07

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