The effective compound interest rate is 13.87%.
<h3><u>
What is Compound Interest?</u></h3>
- The interest on a loan or deposit that is calculated based on both the initial principle and the accumulated interest from prior periods is known as compound interest (also known as compounding interest).
- Compound interest, sometimes known as "interest on interest," is said to have its roots in 17th-century Italy. Compared to simple interest, which is calculated solely on the principal amount, it will cause a sum to grow more quickly.
- The frequency of compounding determines the rate at which compound interest accumulates.
- The compound interest increases with the number of compounding periods.
- For instance, during the same period of time, the amount of compound interest accrued on $100 compounded at 10% yearly will be less than $100 compounded at 5% semi-annually.
Nominal = interest rate
That is Nominal rate is also known as interest rate.
Nominal rate = 13.20%
The invested money is compounded quarterly.
Periodic = 13.2%/4 (quarterly)
Periodic rate = 3.30%
Now,
The interest rate that accounts for compounding over a specific time period is called the Effective Annual Interest Rate (EAR). The rate of interest that an investor can earn (or pay) in a year after taking into account compounding is known as the effective annual interest rate, to put it simply.
Effective annual rate = EFF% = [1 + (0.13200 / 4)]⁴ - 1 = 13.87%
Know more about Compound Interest with the help of the given link:
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Answer:
a. $8,000 gain
Explanation:
The face value of the bonds purchased by Pluto Corporation are $120,000. The bonds are purchased at discount of $1,980. The bonds have carrying value of $126,019 at the time of purchase. The net gain or loss is calculated by the difference between two values.
$120,000 - $126,019 - $6,019
The discount amount of the bond was $1,980.
Total gain on the bonds approximately ($6,019 + $1,980) = $8,000
Answer:
option (C) - 6.11%
Explanation:
Data provided :
Coupon rate one year ago = 6.5% = 0.065
Semiannual coupon rate = 
= 0.0325
Face value = $1,000
Present market yield = 7.2% = 0.072
Semiannual Present market yield, r = 
= 0.036
Now,
With semiannual coupon rate bond price one year ago, C
= 0.0325 × $1,000
= $32.5
Total period in 15 years = 15 year - 1 year = 14 year
or
n = 14 × 2 = 28 semiannual periods
Therefore,
The present value = ![C\times[\frac{(1-(1+r)^{-n})}{r}]+FV(1+r)^{-n}](https://tex.z-dn.net/?f=C%5Ctimes%5B%5Cfrac%7B%281-%281%2Br%29%5E%7B-n%7D%29%7D%7Br%7D%5D%2BFV%281%2Br%29%5E%7B-n%7D)
= ![\$32.5\times[\frac{(1-(1+0.036)^{-28})}{0.036}]+\$1,000\times(1+0.036)^{-28}](https://tex.z-dn.net/?f=%5C%2432.5%5Ctimes%5B%5Cfrac%7B%281-%281%2B0.036%29%5E%7B-28%7D%29%7D%7B0.036%7D%5D%2B%5C%241%2C000%5Ctimes%281%2B0.036%29%5E%7B-28%7D)
or
= $32.5 × 17.4591 + $1,000 × 0.37147
= $567.42 + $371.47
= $938.89
Hence,
The percent change in bond price = 
= 
= - 6.11%
therefore,
the correct answer is option (C) - 6.11%
The euro is the common currency across Europe.
Answer:
$1.15 per share
Explanation:
The computation of the earning per share is shown below:
Earning per share = Net income ÷ common stock outstanding shares
where,
Net income is
= EBIT - interest expense - taxes
= $707,000 - $58,000 - $224,000
= $425,000
And, the common stock outstanding shares is 370,000
So, the earning per share
= $425,000 ÷ 370,000 shares
= $1.15 per share
