Excercises that makes you smart, Exercises of Mathematics

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2019/2020

Uploaded on 11/08/2021

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WRITTEN WORK 9
1.A financial institution declared a dividend of P75,000,000 for its common stock. Suppose there
are 900,000 shares of common stock, how much is the dividend per share?
= ๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘‘๐‘–๐‘ฃ๐‘–๐‘‘๐‘’๐‘›๐‘‘
๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘ โ„Ž๐‘Ž๐‘Ÿ ๐‘’๐‘ 
= ๐‘ƒ75,000,000
900,000
= ๐‘ƒ83.33
2.The ABC corporation gave out P38 dividend per share for its common stock. The market
value of the stock is P108. Determine the stock yield ratio.
= ๐‘‘๐‘–๐‘ฃ๐‘–๐‘‘๐‘’๐‘›๐‘‘ ๐‘๐‘’๐‘Ÿ ๐‘ โ„Ž๐‘Ž๐‘Ÿ๐‘’
๐‘€๐‘Ž๐‘Ÿ๐‘˜๐‘’๐‘ก ๐‘‰๐‘Ž๐‘™๐‘ข๐‘’
= 38
108
= 0.3519 ๐‘œ๐‘Ÿ 35.19%
3.A bank declared a dividend of P27 per share for the common stock. If the common stock
closes at P93, how large is the stock yield ratio on this investment?
= ๐‘‘๐‘–๐‘ฃ๐‘–๐‘‘๐‘’๐‘›๐‘‘ ๐‘๐‘’๐‘Ÿ ๐‘ โ„Ž๐‘Ž๐‘Ÿ๐‘’
๐‘€๐‘Ž๐‘Ÿ๐‘˜๐‘’๐‘ก ๐‘‰๐‘Ž๐‘™๐‘ข๐‘’
= 27
93
= 0.2903 ๐‘œ๐‘Ÿ 29.03%
4.Find the amount of the semi-annual coupon for a P200,000 bond which pays 5% convertible
semi-annually for its coupons.
= Annual coupon amount: 200,000(0.05)=10,000
= Semi โˆ’ annual coupon amount: 10,000 (1
2) = 5,000
5.Determine the amount of semi-annual coupon paid for a 3% bond with a face value of
P100,000 which matures after 8 years. How many coupons are paid?
= Annual coupon amount: 100,000(0.03)= 3,000
= Semi โˆ’ annual coupon amount: 3,000 (1
2) = 1,500
= 8 ร— 2 = 16
=Each semi annual coupon is 1500 paid 16 times every 6 months

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WRITTEN WORK 9

1.A financial institution declared a dividend of P75,000,000 for its common stock. Suppose there are 900,000 shares of common stock, how much is the dividend per share?

๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘‘๐‘–๐‘ฃ๐‘–๐‘‘๐‘’๐‘›๐‘‘ ๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘ โ„Ž๐‘Ž๐‘Ÿ๐‘’๐‘ 

๐‘ƒ 75 , 000 , 000 900 , 000

2.The ABC corporation gave out P38 dividend per share for its common stock. The market value of the stock is P108. Determine the stock yield ratio.

๐‘‘๐‘–๐‘ฃ๐‘–๐‘‘๐‘’๐‘›๐‘‘ ๐‘๐‘’๐‘Ÿ ๐‘ โ„Ž๐‘Ž๐‘Ÿ๐‘’ ๐‘€๐‘Ž๐‘Ÿ๐‘˜๐‘’๐‘ก ๐‘‰๐‘Ž๐‘™๐‘ข๐‘’

38 108

3.A bank declared a dividend of P27 per share for the common stock. If the common stock closes at P93, how large is the stock yield ratio on this investment?

๐‘‘๐‘–๐‘ฃ๐‘–๐‘‘๐‘’๐‘›๐‘‘ ๐‘๐‘’๐‘Ÿ ๐‘ โ„Ž๐‘Ž๐‘Ÿ๐‘’ ๐‘€๐‘Ž๐‘Ÿ๐‘˜๐‘’๐‘ก ๐‘‰๐‘Ž๐‘™๐‘ข๐‘’

27 93

4.Find the amount of the semi-annual coupon for a P200,000 bond which pays 5% convertible semi-annually for its coupons. = Annual coupon amount: 200 , 000 ( 0. 05 ) = 10 , 000 = Semi โˆ’ annual coupon amount: 10 , 000 ( 1 2

5.Determine the amount of semi-annual coupon paid for a 3% bond with a face value of P100,000 which matures after 8 years. How many coupons are paid? = Annual coupon amount: 100 , 000 ( 0. 03 ) = 3 , 000 = Semi โˆ’ annual coupon amount: 3 , 000 ( 1 2

= 8 ร— 2 = 16

= Each semi annual coupon is 1500 paid 16 times every 6 months