Answer:
In order to find the present value of the bond we have to calculate the present value of investment A and subtract is from 1529. We can find the present value of A by discounting all its cash flows.
As the first cash flow is received today and the last will be received 3 years form now there will be a total of 4 cash flows
1) 218.19 (Will not be discounted as we are receiving it today in the present)
2) 218.19/1.0987 (Discount by 1 year as cash will be received in 1 year)
3) 218.19/1.0987^2 (Discount by 2 years as cash will be received in 2 years)
4) 218.19/ 1.0987^3 (Discount by 3 years as cash will be received in 3 years)
= 218.19 + 198.58 + 180.74+ 164.51 = 762.02
PV of Bond = 1529-762.09= 766.91
Semi annual coupons mean 2 payments a year. Bond B matures in 23 years which means a total of 46 payments (23*2). N=46. A coupon rate of 6.4 percent means that the bond pays $64 (0.064*1000) each year. $64 divided by 2 is 32 which is the amount of each semi annual payment Arjen receives. Pv= 766.91 FV = 1000
In a financial calculator put
PV= -766.91
N= 46
FV=1000
PMT= 32
and compute I
I is 4.38 and we will multiply it by 2 because the payments are semi annual. So we will get an I of 8.76
YTM= 0.0876
Explanation:
