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a)

Finance Nov 13, 2020

a). Initial value of index (using price-weighted scheme) = sum of price per share of all stocks/number of stocks

= (103+45+74)/3 = 74

b). Index value as of 1/1/20 = (106+39+63)/3 = 69.33

2019 return = (2020 value - 2019 value)/2019 value = (69.33-74)/74 = -6.31%

Index value as of 1/1/21 = (118+53+79)/3 = 83.33

2020 return = (2021 value - 2020 value)/2020 value = (83.33-69.33)/69.33 = 20.19%

Expert Solution

                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =15x2
Bond Price =∑ [(9*1000/200)/(1 + 10/200)^k]     +   1000/(1 + 10/200)^15x2
                   k=1
 
Bond Price = 923.14
Using Calculator: press buttons "2ND"+"FV" then assign
 
 
PMT = Par value * coupon %/coupons per year=1000*9/(2*100)
I/Y =10/2
N =15*2
FV =1000
CPT PV
 
Using Excel
=PV(rate,nper,pmt,FV,type)
=PV(10/(2*100),2*15,-9*1000/(2*100),-1000,)
                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =14x2
Bond Price =∑ [(9*1000/200)/(1 + 8/200)^k]     +   1000/(1 + 8/200)^14x2
                   k=1
 
Bond Price = 1083.32
Using Calculator: press buttons "2ND"+"FV" then assign
 
 
PMT = Par value * coupon %/coupons per year=1000*9/(2*100)
I/Y =8/2
N =14*2
FV =1000
CPT PV
 
Using Excel
=PV(rate,nper,pmt,FV,type)
=PV(8/(2*100),2*14,-9*1000/(2*100),-1000,)
rate of return/HPR = ((Selling price+Number of Coupon amount*Coupon amount)/Purchase price-1)
=((1083.32+2*45)/923.14-1)
=27.1%
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