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LekaFEV [45]
2 years ago
11

A bond has a coupon rate of 8.2 percent, a $1,000 par value, matures in 11.5 years, has a yield to maturity of 7.67 percent, and

pays interest annually. What is the current yield?
Business
1 answer:
sammy [17]2 years ago
7 0

Answer:

The current yield of the bond is 7.89%

Explanation:

The current yield is calculated by dividing the coupon payment by the price of the bond. To solve this question we first need to calculate the price of the bond. We will input the following in a financial calculator to find the price of the bond.

FV= 1,000

PMT= 0.082*1,000=82

N=11.5

I= 7.67

Compute PV=1,039

Now that we know the price we will divide the coupon payment which is 82 by the price which is 1,039.

82/1,039=0.0789=7.89%

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You plan on making a $235.15 monthly deposit into an account that pays 3.2% interest, compounded monthly, for 20 years. At the e
crimeas [40]

Answer:

Ans. a) $769.27 is the amount of money that you can withdraw every month for 120 months at a rate of 3.2% compounded monthly if you deposit $235.15 every month, for 20 years.

Explanation:

Hi, first we have to turn this compounded rate into an effective rate, in this case, effective monthly, that is by doing the following.

r(monthly)=\frac{0.032}{12} =0,00267

that is 0.267% effective monthly.

Now, we need to take all this annuities to 20 years in the future, which is going to be the present value to use in order to find the amount of moneuy that you can withdraw every month, for 120 months (10 years).

FutureValue=\frac{A((1+r)^{n} -1)}{r}

For A = 235.15; r =0,00267; n=240

FutureValue=\frac{235.15((1+0.00267)^{240} -1)}{0.00267}=78,910.41

Now, in order to find the amount of money to withdraw for 10 years, every month, we have to use the following equation.

PresentValue=\frac{A((1+r)^{n}-1) }{r(1+r)^{n} }

Since the future value 20 years from now is the present value of the annuity we are looking for, all should look like this.

78,910.41=\frac{A((1+0.00267)^{120}-1) }{0.00267(1+0.00267)^{120} }

78,910.41=A(102.5781087)

A=\frac{78,910.41}{102.5781087} =769.27

So the answer is a) $769.27

Best of luck.

8 0
2 years ago
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