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alexgriva [62]
1 year ago
11

a treasury bill has a face value of $65,000, an asked yield of 3.05%, and matures in 60 days. what is the price of this bill?

Business
1 answer:
Nataliya [291]1 year ago
7 0

the price of this bill is $64669.58 in 60 days.

In this question the given things is:

a treasury bill has a face value of $65,000.

yield percentace = 3.05%

time = 60days

the price of this bill = a face value of a treasury- (a face value of a treasury *yield percentage * given time per year)

the price of this bill = $65,000 - $65,000*(3.05/100)*(60/360)

the price of this bill =$64669.58.

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<u>First method</u>

The PV of the investment can be written as:

PV1 = $15,000 + $32,500/(1+0.06)^n

<u>Second method</u>

The PV of the investment can be written as:

PV2 = $23,000 + $23,000/(1+0.06)^n

After n years both projects will be economically equal. Hence their present value must be equal PV1 = PV2

$15,000 + $32,500/(1.06)^n = $23,000 + $23,000/(1.06)^n

$23,000 - $15,000 = $32,500/(1.06)^n - $23,000/(1.06)^n

$8,000 = $9,500/(1.06)^n

(1.06)^n = $9,500/$8,000

(1.06)^n = 1.1875

Taking log on both sides we get:

nlog1.06 = log 1.1875

n = log 1.1875/log 1.06

n = 0.07463361829/0.02530586526

n = 2.94926166417121

n = 3

So, the answer is 3 years

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The cost for manufacturing a component used in intelligent interface converters was $23,000 the first year. The company expects
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