The difference between the observed points and the regression line points is equal to the correlation.
Correlation is a statistical measure of how linearly two variables are related (that is, do they change at a constant rate). This is a general tool for describing simple relationships without stating cause and effect.
Correlation and regression analysis are used in business to predict potential outcomes so that companies can make informed, data-driven decisions based on predictions of event outcomes. increase.
Correlation analysis in market research is a statistical technique that determines the strength of the relationship between two or more variables.
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Answer: 7.5%
Explanation:
Given the following :
Coupon rate = 7.5% semi-annually = 0.0375
Coupon or interest payment per period = $37.5
Period (n)= 6.5 years * 2 = 13
Face value(f) = $1000
Price of bond = face value = $1000
Semiannual Yield to maturity = [(((f-p)/n) + C) / (f + p)/2]
Semiannual YTM = [(((1000 - 1000) / 13) + 37.5) / (1000 + 1000)/2]
Semiannual Yield to maturity = [(((0 /13) + 37.5) / 2000/2]
= 37.5 / 1000 = 0.0375 = 3.75%
Yield to maturity = 2 × Semiannual yield to maturity
Yield to maturity = 2 × 3.75% = 7.5%
Answer:
since you are required to calculate the effective yield to maturity, you cannot use the approximate YTM formula since it is not exact. You will need to use a financial calculator, online calculator or excel spreadsheet. I prefer to use an excel spreadsheet and use the IRR function:
a) initial outlay = -$970
cash flows 1 - 19 = $80
cash flow 20 = $1,080
IRR = 8.31%
Since the bond is sold at a discount, the effective yield will be higher than the coupon rate.
b) if hte bond is sodl at par, the effective yield to maturity is the coupon rate = 8%
c) initial outlay = -$1,170
cash flows 1 - 19 = $80
cash flow 20 = $1,080
IRR = 6.49%
Since the bond is sold at a premium, the effective yield will be lower than the coupon rate.
