# Help on Question on ROI and Bond Maturity

Bain BCG Mck quantitative
New answer on Dec 30, 2020
647 Views

Hi,

Can you please guide me on how to approach and solve this problem?

Chen buys 1500 government bonds at the face value worth of \$100 per bond at a 4% discount. Bond’s interest rate is 9% (not compounded) and is paid monthly, maturity is in 6 months. How much return (in % of initial investment) will Chen get after the maturity date of the bonds?

Many thanks

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Well, you'll get 2 sources of income:

• The face value at maturity: The ROI is 4/96 (as Chen bought the bonds at \$96, but sells them at \$100 in 6 months)
• The interest payment: Chen gets 9% / 12 months * 6 months * \$100 = \$4.5 in interest payments. Again, the investment was \$96

So the % return is \$8.5 / \$96, so around 9%.

Thanks Henning! Do I need to add anything else to the 9%. The solution key shows 56.25%

Hi there,

It's great that you're using the Q&A, however I also highly advise you to start building your research/do-it-yourself skills! A quick google search gives you the literal formula for calculating the value of a bond.

I only say this because, when you enter the consulting world, you'll have to learn to research + figure out things like this on your own :)

Hi, in addition to the solutions proposed by the other coaches in the discussion, I would like to suggest similar cases in the platform to practice with:

• https://www.preplounge.com/en/consulting-forum/how-much-would-you-charge-to-clean-all-the-windows-in-seattle-4965
• https://www.preplounge.com/en/consulting-forum/market-sizing-milk-consumption-5087
• https://www.preplounge.com/en/consulting-forum/how-would-you-calculate-the-value-of-a-cow-4982
• https://www.preplounge.com/en/consulting-forum/estimate-number-of-traffic-lights-in-a-london-5692

Hope it helps,
Antonello

Hello!

Agree with Henning. However, you won´t get to those complications in an interview for consulting or MBB.

Best,

Clara