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Mgm Harvard Business School Accounting Case

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1. Effective Interest Rate on the new 10% debentures = 14.318%

For the 10% debentures, the market value of 1 share is $19.5 (given)

The equivalent of this is a cash offer of $3/share and a 10% subordinated debenture of face value of $23.

So the PV (10% subordinated debentures with FV $23) = $19.5 - $3 = $16.5
The effective interest rate (yield) on the above is that interest rate ‘r’ that gives the following

PV (Per period payment of ($23*5% i.e. $1.15) over 40 periods @ r)
+ PV ($23 paid 40 periods hence with a return of r)
$16.5

1.15*(1 – (1/(1+r)^40))/r + 23/(1+r)^40 = 16.5

Solving for r in the above equation we get 14.318% as the effective interest rate.

Similarly, Effective Interest Rate on the old 5% …show more content…

The discount and ending liability for the 5% convertible debentures are calculated as follows. The market value = .45875 * $30,010 = $13,767. The remaining amount is the discount.

Bond closed @.45875 of par $13,767.09 Discount = 1-.45875 0.54125 $16,242.91 $30,010.00

The new earnings per share number can be calculated as follows.

Pre-Tax earnings in question 3 = $551,869
One-time gain = 13,348,000
Additional interest expense for 2 periods = 855.7 +857.3 = $1,713,000
Reduced interest expense for 5% bonds = 863.4 + 870.4 = $1,733,800

New Pre-tax Net Income = 551,869 +13,348,000 – 1,713,000 + $1,733,800 = 13,920,669
After tax Net income = 13,920,669 *(1-0.48) = $7,238,748
# shares outstanding = 5,321,295 shares (from q3)

Net Income = 7,238,748/5,321,295 = $1.36/share (mainly from the one time gain on the bond exchange)

6. From the above tables TABLE 2 (new 10% subordinated debentures) and TABLE 3 (existing 5% convertible debentures) the present values of the exchanged 10% subordinated debentures and the existing 5% convertible debentures are obtained.

PV (Original 5% convertible debentures) = $30,10 (thousands)
PV (New 10% subordinated debentures) = $16,662 (thousands)

7. The following tables show the Debt/Equity Ratios before and after both exchanges based on book value of debt. As it is observed, the transactions did not significantly alter the

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