Answer:
$6,750,000
Explanation:
Since it is stated in the question that the 3mn shares will be paid the principal and interest at maturity, and it is not stated the note is compounded, we apply the following simple calculation:
Amount to pay = $4,500,000 + [($4,500,000 × 10%) × 5 years]
= $4,500,000 + [$450,000 × 5 years]
= $4,500,000 + 2,250,000
Amount to pay = $6,750,000
Therefore, the amount should be paid to the stockholders at the end of the fifth year is $6,750,000.
Answer:
-3.91%.
Explanation:
The Duration Adjustment (% change in bond price) is given by:
= (Duration) * (Change in yield in %)
= -(7.81) x (0.5%)
= -3.91%
The Convexity Adjustment is given by:
= 0.5 * Convexity * (Change in yield, as a fraction)^2
= 0.5 * 99.87 * (0.005)^2
= 0.5 * 99.87 * 0.000025
= 0.001248375
= 0.0012%
Thus, the convexity correction is 0.0012%
Thus, the total change in bond price = -3.91% + 0.0012% = -3.91%.
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Answer:
Amount deposit = $118,411.4 (Approx.)
Explanation:
Given:
Future amount = $150,000
Rate of interest = 6% compounds semiannual
Number of year = 4 year
Find:
Amount deposit
Computation:
Compounds semiannual
So,
Rate of interest = 6% / 2 = 0.03
Time taken = 4 x 2 = 8 times
So,
A = P[1+r]ⁿ
150,000 = p[1+0.03]⁸
150,000 = p[1.03]⁸
150,000 = p[1.26677]
p = 150,000 / 1.26677
p = 118,411.393
Amount deposit = $118,411.4 (Approx.)