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On February 2, 2016, an investor held some Province of Ontario stripped coupons in a self-administered RRSP at ScotiaMcLeod, an investment dealer
On February 2, 2016, an investor held some Province of Ontario stripped coupons in a self-administered RRSP at ScotiaMcLeod, an investment dealer. Each coupon represented a promise to pay $100 at the maturity date on February 2, 2022, but the investor would receive nothing until then. The value of the coupon showed as $84.73 on the investor's screen. This means that the investor was giving up $84.73 on February 2, 2016, in exchange for $100 to be received just less than six years later.
a. Based upon the $84.73 price, what rate was the yield on the Province of Ontario bond? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Rate of return %
b. Suppose that on February 2, 2017, the security's price was $89.00. If an investor had purchased it for $84.73 a year earlier and sold it on this day, what annual rate of return would she have earned? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Annual rate of return %
c. If an investor had purchased the security at the market price of $89.00 on February 2, 2017, and held it until it matured, what annual rate of return would she have earned? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Annual rate of return
Expert Solution
a) Computation of Annual Rate of Return:
Yield on Bond = [($100 / $84.73) ^ (1 / 6)] - 1
= [1.18022 ^ (1 / 6)] - 1
= 1.02800 - 1
= 2.80%%
Yield on bond is 2.80%.
b) Computation of Annual Rate of Return:
Purchase price = $84.73
Sales price in one year = $89
Annual Rate of Return = ($89 / $84.73) - 1
= 1.0504 - 1
= 5.04%
Return in one year is 5.04%.
c) Computation of Annual Rate of Return:
If an investor had purchased the security at market on February2, 2017, then purchase price is $89.
So yield for five year = [($100 / $89) ^ (1 / 5)] - 1
= [1.1236 ^ (1 / 5)] - 1
= 1.02358 - 1
= 2.36%
Yield on bond is 2.36%.
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