# This REALLY should be easy - real rate vs nominal rate

Really though I would understand this by level III but I seem to find CONSTANT contradictory information.

Nominal Rate = 8%

Inflation = 3%

Then real rate = 5%

i.e. the nominal rate includes/reflects inflation.

All liabilities subject to inflationary effects should be matched with real-rate bonds, i.e., bonds with yields that reflect risk premium and inflation.

Do nominal bonds not refelct inflation? How/why? If I need a return of 5% indexed to inflation and inflation is 3%, wouldn’t I want a nominal rate bond at 8%?

Thanks.

Nominal bonds include a premium for expected inflation.

Actual inflation may be different from expected inflation.

Real bonds (e.g., TIPS) include actual inflation.

Thanks.

To clarify, 8% nominal, 3% expected inflation would equal a real rate of 5%. But that real rate includes actual inflation? Still confused…TIPS + expected inflation equals nominal???

James has a 1,000,000 portfolio and needs \$2,000,000 in 10 years. What is the nominal rate needed? What is the real rate needed? Inflation is 1%.

The Required RoR is 7.18%, and the CFAI calls it “Nominal”. However, that includes a premium for expected inflation? How? I would expect you would need 8.18% nominal (ror + inflation). If inflation was 1000% and you received a 7.18% return, how would you have \$2MM?

TIPS (real) + actual inflation = nominal.

The TIPS principal is adjusted by actual inflation, not expected inflation.

As for James, if the \$2,000,000 he needs in 10 years is in then-year dollars, then 7.18% is a nominal return: 6.18% real return, 1% inflation. If the \$1,000,000 he needs in 10 years is in current-year dollars, then 7.18% is the real return and 8.18% is the nominal return. It all depends on what “\$2,000,000” means.

Nominal bonds do not reflect actual inflation. If your liabilities increase at the rate of inflation, (lets say 2%) and you’re receiving a nominal return of 8% (6% real return) on your assets, you’re doing pretty good. However, if inflation increases to 8%, you’re now receiving a real return of 0% if your nominal return is still 8%, this is bad.

Absolutely perfect answer to clear up my confusion – thank you.