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Ahat [919]
3 years ago
8

Last year, you earned a rate of return of 11.29 percent on your bond investments. During that time, the inflation rate was 4.6 p

ercent. What was your real rate of return?
Business
1 answer:
nordsb [41]3 years ago
5 0

Answer:

the real rate of interest of  6.39 %

Explanation:

given,

rate of return on your bond  = 11.29 %

the inflation rate  = 4.6 %

real rate of return = ?

rate of return = (\dfrac{1+ return\ rate}{1 + inflation }-1)\times 100

rate of return = (\dfrac{1+ 0.1129 }{1 + 0.046 }-1)\times 100

rate of return = (\dfrac{1+ 0.1129 }{1 + 0.046 }-1)\times 100

rate of return = (\dfrac{1.1129}{1.046 }-1)\times 100

                    = 6.39 %

the real rate of interest of  6.39 %

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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
The teenage market is a market that is categorized in what way?
grin007 [14]
The closest answer that i can think of is categorized by consumer. By consumer, we are saying that you have to categorize them based on what they like meaning based on what they like at their age. For example, if you are going to market a pizza store to them, one of the best ways to do that is to position your pizza store as a place for friends to hang out because teenagers, at that age, love to hang out with friends and to be cool. So you have to categorize a teenage market by their interests when they are at that certain adolescent age
5 0
3 years ago
Anshul worked as an engineer for futurtech. he had many innovative ideas for the company, but most were never explored to his sa
liberstina [14]
<span>The fact that Anshul had many innovative ideas and he applied his ideas and thoughts to this business and finally succeeded is an example of </span>entrepreneurs<span>hip.
</span>Entrepreneurship involves ideas, new solutions and concepts, creating new systems, resources, or processes to produce new goods or services and/or serve new markets.
8 0
3 years ago
Read 2 more answers
Suppose that two factors have been identified for the U.S. economy: the growth rate of industrial production, IP, and the inflat
DENIUS [597]

Answer:

23.3%

Explanation:

Expected return refers to the anticipated profit or loss of financial investment. Essentially, it's the value of the return that investors anticipate. We can find the expected return by using the formula given below

Δ IR = 5-5% - 2% = 3.5%

Δ IP = 6% - 4% = 2%

Formula

Expected return = Expectedreturn(previous year) + (betaIP x Δ IP) + (betaIR x Δ IR)

Expected return = 12% + (2.5 x 2%) + (1.8 x 3.5%)

Expected return = 23.3%

5 0
3 years ago
You are asked to recommend whether a firm should make or purchase product A. The following are data concerning the two options.
Alexxandr [17]

Answer:

Instructions are listed below

Explanation:

Giving the following information:

For the purchase​ option:

Buying price= ​$22 per unit.

For the make​ option:

Weekly rental payment of ​$30,800

The firm also has to hire five operators to help make product A. Each operator works eight hours per​ day, five days per week at the rate of ​$14 per hour.

The material cost for the make option is ​$15 per unit of product A.

A) We need to find the number of units that makes the unitary fixed costs= $7

Weekly rental= 30800

Direct labor= ($14*8 hours*5workes)*5 days= 2800

Total fixed costs= $33,600

Unitary fixed costs= total fixed costs/ Q

7=33600/Q

Q= 4800 units

B) Now Q= 6600

Buy= 6600*22= $145,200

Make= 6600*15 + 33600= $132,600

3 0
3 years ago
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