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kotykmax [81]
3 years ago
5

Sioux Financial Corp. has forecasted its bond portfolio value for one year ahead to be $105 million. In one year, it expects to

receive $10,000,000 in coupon payments. The bond portfolio today is worth $101 million. What is the forecasted return of this bond portfolio?
Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0

Answer:

13.86%

Step-by-step explanation:

Data provided in the question:

Forecasted value bond portfolio one year ahead = $105 million

Expected value to be received = $10,000,000

Worth of bond portfolio today = $101 million

Now,

The Forecasted return is calculated as;

= [(Coupon + closing value - opening value) ÷ (Opening value)]  × 100%

on substituting the respective values, we get

Forecasted return = \frac{\textup{(10000000+105000000-101000000)}}{\textup{101000000}}\times100

or

Forecasted return = 0.1386 × 100%

or

Forecasted return = 13.86%

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4 0
2 years ago
An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
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The area of the oval is 
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Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
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Answer:
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Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
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3 0
3 years ago
If the ratio of a circle's sector to its total area is 1/3, what is the measure of
nalin [4]

Answer:

option A:  120°

Step-by-step explanation:

Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta

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3 years ago
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Rzqust [24]
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