00:01
The objective for this task is to determine the best option for the investor.
00:11
And this is for the bonds.
00:14
So to get started, let's focus on the yield to maturity formula, because we're going to need this to calculate both bonds to see which one would be the best option.
00:25
So the yield to maturity formula is the annual interest plus the par value.
00:38
Which is the face value, minus the market value, divided by the number of years to maturity.
00:50
And then we divide that by the par value plus market price divided by two.
01:08
So let's start with option a.
01:16
Option a is the zero coupon bond.
01:19
So this one, we're going to plug everything into the formula.
01:22
We know that this one does not have an annual interest.
01:26
So we're going to have annual interest of zero plus the par value, which we know is the face value of the bone, which is 1 ,000, minus the market price of 860.
01:40
And we say divided by two because that's the number of years to maturity.
01:46
So i just do this here for consistency.
01:49
And then we're going to divide this by the par value plus the market value divided by two.
01:58
So we bring this down.
02:04
We have 0 plus 1 ,000 minus 860 divided by 2, which is going to give us 140 divided by 2, divided by 1 ,000 plus 860 divided by 2.
02:21
So that's going to be 1 ,860 divided by 2.
02:29
So we take this down and further simplify it.
02:32
This gives us 70.
02:35
Divided by 930 and 70 divided by 930 gives us 0 .07353 or 7 .53%...