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?
1 answer:
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Answer:
P=24.92 per quarter
Explanation:
this problem can be solved applying the concept of annuity, keep in mind that an annuity is a formula which allows you to calculate the future value of future payments affected by an interest rate.by definition the future value of an annuity is given by:
where is the future value of the annuity,
is the interest rate for every period payment, n is the number of payments, and P is the regular amount paid. so applying to this particular problem, we have:
we will asume that deposits are made as interest is compounded it is quarterly thats why we multiply 60 and 4 and also we divide 12% into 4, so:
solving P
P=24.92
Given the table below
![\begin{tabular} {|p {1cm}|p {1.4cm}|p {1.4cm}|p {1.5cm}|p {1.4cm}|p {1.4cm}|} {Price per hour&Quantity Supplied by Ann&Quantity Supplied by Bob&Quantity Supplied by Carlos&Market Quantity Supplied&Market Quantity Demanded\\[1ex] \$50&94&35&19&148&5\\ 45&93&33&14&140&8\\ 40&90&30&10&130&11\\ 35&81&27&6&114&16\\ 30&68&20&2&90&22\\ 25&50&12&0&62&30\\ 20&32&7&0&39&39\\ 15&20&0&0&20&47\\ 10&10&0&0&10&57 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cp%20%7B1cm%7D%7Cp%20%7B1.4cm%7D%7Cp%20%7B1.4cm%7D%7Cp%20%7B1.5cm%7D%7Cp%20%7B1.4cm%7D%7Cp%20%7B1.4cm%7D%7C%7D%0A%7BPrice%20per%20hour%26Quantity%20Supplied%20by%20Ann%26Quantity%20Supplied%20by%20Bob%26Quantity%20Supplied%20by%20Carlos%26Market%20Quantity%20Supplied%26Market%20Quantity%20Demanded%5C%5C%5B1ex%5D%0A%5C%2450%2694%2635%2619%26148%265%5C%5C%0A45%2693%2633%2614%26140%268%5C%5C%0A40%2690%2630%2610%26130%2611%5C%5C%0A35%2681%2627%266%26114%2616%5C%5C%0A30%2668%2620%262%2690%2622%5C%5C%0A25%2650%2612%260%2662%2630%5C%5C%0A20%2632%267%260%2639%2639%5C%5C%0A15%2620%260%260%2620%2647%5C%5C%0A10%2610%260%260%2610%2657%0A%5Cend%7Btabular%7D)
From the table it can be seen that at the price of $20, the quantity supplied is equal to the quantity demanded equal to 39.
Also notice that at that price, Carlos is not supplying any service.
Therefore, the equilibruim price <span>of tutoring services be if Carlos decided to stop tutoring is $20.</span>
From the table it can be seen that at the price of $20, the quantity supplied is equal to the quantity demanded equal to 39.
Also notice that at that price, Carlos is not supplying any service.
Therefore, the equilibruim price <span>of tutoring services be if Carlos decided to stop tutoring is $20.</span>