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Homework answers / question archive / 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

Finance

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          

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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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