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Reil [10]
3 years ago
12

he appropriate discount rate for the following cash flows is 8 percent compounded quarterly. Year Cash Flow 1 $700 2 700 3 0 4 1

,100 What is the present value of the cash flows
Business
1 answer:
rewona [7]3 years ago
4 0

Answer:

Thus, the present value is $2045.52.

Explanation:

Use the below formula to find the present value:

Present value = FV ÷ (1 + r/4)^(n*4)

Present value :

=\frac{700}{(1 + \frac{0.08}{4} )^{1 \times 4} } + \frac{700}{(1 + \frac{0.08}{4} )^{2 \times 4} } + \frac{0}{(1 + \frac{0.08}{4} )^{3 \times 4} } +\frac{1100}{(1 + \frac{0.08}{4} )^{4 \times 4} } \\ \\= \frac{700}{1.0824}+\frac{700}{1.1716} +0+\frac{1100}{1.3727} \\= 2045.52

Thus, the present value is $2045.52.

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An investor has two bonds in his portfolio that have a face value of $1,000 and pay a 9% annual coupon. Bond L matures in 15 yea
aksik [14]

Answer:

Price of L bond at 5 percent required rate of return = $1,415.16

Price of L bond at 7 percent required rate of return = $1,182.16

Price of L bond at 10 percent required rate of return = $923.94

The price of the long term bonds change more with a change in interest rate because the long term bonds have a greater interest rate risk as compared to the short term bonds

Explanation:

L bond has a coupon rate of 9 percent, a face value of $1,000 and matures in 15 years. The coupon payments are made on annual basis. At the time of maturity the bondholder gets the face value.

We can find the present value of the coupon payments using the present value of annuity formula and the present value of the face value to be received after fifteen years using the present value formula. Sum of the present value of annuity of coupon payments and present value of the face value should equal the fair value (price) of the bond.

If the required rate of return is 5 percent, the price of the bond can be computed as under

Price = PMT [[(1+i)^n] -1]/[ix(1+i)^n] + FV/(1+i)^n

where PMT = 1,000 x 9% = $90

n = 15 years, i = 5% and FV = $1,000

Plugging the values in the formula we get

Price = 90[{(1+0.05)^15} - 1]/ [0.05 x (1+0.05)^15] + 1,000/(1+0.05)^15

Price = 90[{(1.05)^15} - 1]/ [0.05 x (1.05)^15] + 1,000/(1.05)^15

Price = 90[2.07893 - 1]/ [0.05 x 2.07893] + 1,000/2.07893

Price = 90[1.07893]/ [0.10395] + 1,000/2.07893

Price = 934.14 + 481.02 = 1,415.16

If the required rate of return increases to 7 percent, the price is computed as under

Price = 90[{(1+0.07)^15} - 1]/ [0.07 x (1+0.07)^15] + 1,000/(1+0.07)^15

Price = 90[{(1.07)^15} - 1]/ [0.07 x (1.07)^15] + 1,000/(1.07)^15

Price = 90[2.759 - 1]/ [0.07 x 2.759] + 1,000/2.759

Price = 90[1.759]/ [0.19313] + 1,000/2.759

Price = 819.71+ 362.45 = 1,182.16

If the required rate of return increases to 10 percent, the price is computed as under

Price = 90[{(1+0.1)^15} - 1]/ [0.1 x (1+0.1)^15] + 1,000/(1+0.1)^15

Price = 90[{(1.1)^15} - 1]/ [0.1 x (1.1)^15] + 1,000/(1.1)^15

Price = 90[4.1772 - 1]/ [0.1 x 4.1772] + 1,000/4.1772

Price = 90[3.1772]/ [0.41772] + 1,000/4.1772

Price = 684.55+ 239.39 = 923.94

The price of the long term bonds change more with a change in interest rate because the long term bonds have a greater interest rate risk as compared to the short term bonds

3 0
3 years ago
Travis borrowed $10,000 four years ago at an annual interest rate of 7 percent. The loan term is six years. Since he borrowed th
likoan [24]

Answer:

The answer is A

Explanation:

The loan is an interest only loan since he is only paying the interest potion of 7%

Interest only loan is when the borrower pays only the interest for some or all the term of the loan with no changes in the borrowed amount

5 0
3 years ago
Amazon stock prices gave a realized return of 6​%, negative 6​%, 9​%, and negative 9​% over four successive quarters. What is th
Anvisha [2.4K]

Answer:

-1.167%

Explanation:

The current value of the stock is given by applying all of the realized returns to the initial purchase price. Let 'A' be the initial price, the price at the end of the year is:

P = A*(1+0.06)*(1+0.09)*(1-0.06)*(1-0.09)\\P=0.9883A

At the end of the year, the stock had a price of 0.9883 times the initial price, the annual realizes return was:

r=(0.9883 - 1)*100\%\\r= -1.167\%

Annual realized return was  -1.167%.

8 0
3 years ago
Ryan, the owner of Home Value supermarket chain, wants to terminate a contract with a supplier. During the tenure of the contrac
Basile [38]

Answer:

Ryan takes the supplier representatives out for lunch and thanks them for being such great friends.

Explanation:

Ryan taking the supplier representatives out for lunch and thanking them for being such great friends is a less-than straightforward way of saying no and ending the working relationship.

From the supplier's perspective, Ryan taking the time to take them out on a lunch would suggest he's trying to show gratitude, so as to foster their existing business relationships.

On the other hand, coming to realize that it was his way of saying no and ending the working relationship between them would make the supplier representatives disappointed and making Ryan look less-than straightforward.

5 0
3 years ago
Help please!!!!! Identify and explain 2 ways in which the country became more democratic in the 1820s​
egoroff_w [7]

Spoils system and nominating conventions

The spoils systems is when a particular party wins the election, that party gives the civil service government jobs to people of their same party. Nominating conventions are big events for the party where people come together and delegates vote to nominate a particular person to be a candidate.

8 0
4 years ago
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